* [175] C.J. Gorter, The two fluid model for superconductors and Helium II, Prog. Low Temp. Phys. 1, 1–16 (1955).
  * [176] J.R. Schrieffer, Theory of Superconductivity (Benjamin, New York, 1964).
  * [177] E.A. Lynton, Superconductivity (Methuen, London, 1969).
  * [178] V.I. Yukalov, Basics of Bose-Einstein condensation, Phys. Part. Nucl. 42, 460–513 (2011).
  * [179] V.I. Yukalov, Theory of cold atoms: Bose-Einstein statistics, Laser Phys. 26, 062001 (2016).
  * [180] V. Hizhnyakov and E. Sigmund, High-Tc superconductivity induced by ferromagnetic clustering, Physica C 156, 655–666 (1988).
  * [181] J.C. Phillips, Physics of High-Tc Superconductors (Academic, Boston, 1989).
  * [182] V. Hizhnyakov, E. Sigmund, and M. Schneider, Magnetic interactions and dynamics of holes in CuO2 planes of high-Tc superconducting materials, Phys. Rev. B 44, 795–800 (1991).
  * [183] G. Benedek and K.A. Müller, Eds., Phase Separation in Cuprate Superconductors (World Scientific, Singapore, 1992).
  * [184] E. Sigmund and K.A. Müller, Eds., Phase Separation in Cuprate Superconductors (Springer, Berlin, 1994).
  * [185] S.A. Kivelson, I.P. Bindloss, E. Fradkin, V. Oganesyan, J.M. Tranquada, A. Kapitulnik, and C. Howald, How to detect fluctuating stripes in the high-temperature superconductors, Rev. Mod. Phys. 75, 1201–1242 (2003).
  * [186] L.P. Gorkov and A.V. Sokol, Phase stratification of an electron liquid in the new superconductors, JETP Letters 46, 420–423 (1987).
  * [187] J.I. Spielberg and E. Gelerinter, Further studies on the molecular dynamics of the glass transition and the glass state using EPR probes, Phys. Rev. B 30, 2319–2323 (1984).
  * [188] M.I. Klinger, Soft atomic configurations, medium-range order and universal properties of glasses, Comments Condens. Matter Phys. 16, 137–152 (1992).
  * [189] A.S. Bakai and E.W. Fischer, Nature of long-range correlations of density fluctuations in glass-forming liquids, J. Chem. Phys. 120, 5235–5252 (2004).
  * [190] A.S. Bakai, On low-temperature polyamorphous transformations, Low Temp. Phys. 32, 868–876 (2006).
  * [191] N. Lazarev and A. Bakai, Theoretical strength and homogeneous sliding in metallic glass: Exactly solvable model, J. Mech. Behav. Mater. 22, 119–128 (2013).
  * [192] B.I. Ivlev and N.B. Kopnin, Theory of current states in narrow superconductor channels, Phys. Usp. 27, 206–227 (1984).
  * [193] M.I. Rabinovich and M.M. Sushchik, The regular and chaotic dynamics of structures in fluid flows, Phys. Usp. 33, 1–35 (1990).
  * [194] V.I. Yukalov, Turbulent superfluid as continuous vortex mixture, Laser Phys. Lett. 7, 467–476 (2010).
  * [195] R.F. Shiozaki, G.D. Telles, V.I. Yukalov, and V.S. Bagnato, Transition to quantum turbulence in finite-size superfluids, Laser Phys. Lett. 8, 393–397 (2011).
  * [196] J.A. Seman, E.A.L. Henn, R.F. Shiozaki, G. Roati, F.J. Poveda-Cuevas, K.M.F. Magalhäes, V.I. Yukalov, M. Tsubota, M. Kobayashi, K. Kasamatsu, and V.S. Bagnato, Route to turbulence in a trapped Bose-Einstein condensate, Laser Phys. Lett. 8, 691–696 (2011).
  * [197] V.S. Bagnato and V.I. Yukalov, From coherent modes to turbulence and granulation of trapped gases, Porg. Opt. Sci. Photon. 1, 377–401 (2013).
  * [198] V.I Yukalov, A.N. Novikov, and V.S. Bagnato, Formation of granular structures in trapped Bose-Einstein condensates under oscillatory excitations, Laser Phys. Lett. 11, 095501 (2014).
  * [199] V.I Yukalov, A.N. Novikov, and V.S. Bagnato, Strongly nonequilibrium Bose-condensed atomic systems, J. Low Temp. Phys. 180, 53–67 (2015).
  * [200] V.I Yukalov, A.N. Novikov, and V.S. Bagnato, Realization of inverse Kibble-Zurek scenario with trapped Bose gases, Phys. Lett. A 379, 1366–1371 (2015).
  * [201] V.I Yukalov, A.N. Novikov, and V.S. Bagnato, Characterization of nonequilibrium states of trapped Bose-Einstein condensates, Laser Phys. Lett. 15, 065501 (2018).
  * [202] V.I. Yukalov, A.N. Novikov, E.P. Yukalova, and V.S. Bagnato, Characteristic quantities for nonequilibrium Bose systems, J. Phys. Conf. Ser. 1508, 012006 (2020).
  * [203] L. Boltzmann, Lectures on Gas Theory (University of California, Berkeley, 1964).
  * [204] Y.I. Neimark and P.S. Landa, Stochastic and Chaotic Oscillations (Springer, Dordrecht, 1992).
  * [205] J.I. Neimark, Mathematical Models in Natural Science and Engineering (Springer, Berlin, 2003).
  * [206] V.I. Yukalov, Stochastic instability of quasi-isolated systems, Phys. Rev. E 65, 056118 (2002).
  * [207] V.I. Yukalov, Irreversibility of time for quasi-isolated systems, Phys. Lett. A 308, 313–318 (2003).
  * [208] V.I. Yukalov, Expansion exponents for nonequilibrium systems, Physica A 320, 149–168 (2003).
  * [209] V.I. Yukalov, Decoherence and equilibration under nondestructive measurements, Ann. Phys. (N.Y.) 327, 253–263 (2012).
  * [210] V.I. Yukalov, Existence of a wave function for a subsystem, Moscow Univ. Phys. Bull. 25, 49–53 (1970).
  * [211] V.I. Yukalov, Concept of distinctness for quantum subsystems, Moscow Univ. Phys. Bull. 26, 22–26 (1971).
  * [212] V.I. Yukalov, Spontaneous restoration of broken symmetry, Phys. Lett. A 85, 68–71 (1981).
  * [213] D. Ruelle, Statistical Mechanics (Benjamin, New York, 1969).
  * [214] J. Dixmier, Les $C^{*}$-Algebres et Leurs Representations (Gauthier-Villars, Paris, 1969).
  * [215] G.G. Emch, Algebraic Methods in Statistical Mechanics and Quantum Field Theory (Wiley, New York, 1972).
  * [216] O. Bratteli and D. Robinson, Operator Algebras and Quantum Statistical Mechanics (Springer, New York, 1979).
  * [217] V.I. Yukalov, Matrix order indices in statistical mechanics, Physica A 310, 413–434 (2002).
  * [218] V.I. Yukalov, Order indices and entanglement production in quantum systems, Entropy 22, 565 (2020).
  * [219] N.N. Bogolubov, Lectures on Quantum Statistics (Gordon and Breach, New York, 1967), Vol. 1.
  * [220] N.N. Bogolubov, Lectures on Quantum Statistics (Gordon and Breach, New York, 1970), Vol. 2.
  * [221] N.N. Bogolubov, Quantum Statistical Mechanics (World Scientific, Singapore, 2015).
  * [222] V.I. Yukalov, Statistical theory of heterophase fluctuations, Physica A 108, 402–416 (1981).
  * [223] V.I. Yukalov, Method of thermodynamic quasiaverages, Int. J. Mod. Phys. B 5, 3235–3253 (1991).
  * [224] R. Brout, Phase Transitions (Benjamin, New York, 1965).
  * [225] G.L. Sewell, Stability, equilibrium and metastability in statistical mechanics, Phys. Rep. 57, 307–342 (1980).
  * [226] Y.G. Sinai, Theory of Phase Transitions (Pergamon, Oxford, 1982).
  * [227] A.S. Shumovsky and V.I. Yukalov, Spontaneous symmetry breaking and critical phenomena, in International School on High Energy Physics, Ed. by N.N. Bogolubov (JINR, Dubna, 1983), pp. 223–313.
  * [228] N.N. Bogolubov, A.S. Shumovsky, and V.I. Yukalov, The concept of quasiaverages and spaces of states, Theor. Math. Phys. 60, 921–931 (1984).
  * [229] A.S. Shumovsky and V.I. Yukalov, Phase States and Transitions (JINR, Dubna, 1985).
  * [230] V.I. Yukalov, Methods for breaking the symmetry of statistical systems, in Current Group Analysis, Ed. by F.G. Maksudov and K.A. Rustamov (Elm, Baku, 1989), pp. 250–258.
  * [231] J.W. Gibbs, Collected Works (Longmans, New York, 1928).
  * [232] S. Ono and S. Kondo, Molecular Theory of Surface Tension in Liquids (Springer, Berlin, 1960).
  * [233] A.I. Rusanov, Thermodynamics of solid surfaces, Surf. Sci. Rep. 23, 173–247 (1996).
  * [234] A.I. Rusanov, Surface thermodynamics revisited, Surf. Sci. Rep. 37, 111–239 (2005).
  * [235] N. Bourbaki, Théorie des Ensembles (Hermann, Paris, 1958).
  * [236] S. Kullback and R.A. Leibler, On information and sufficiency, Ann. Math. Stat., 22, 79–86 (1951).
  * [237] S. Kullback, Information Theory and Statistics (Wiley, New York, 1959).
  * [238] V.I. Yukalov, Remarks on quasiaverages, Theor. Math. Phys. 26, 274–281 (1976).
  * [239] V.I. Yukalov, Model of a hybrid crystal, Theor. Math. Phys. 28, 652–660 (1976).
  * [240] V.I. Yukalov, Quantum crystal with jumps of particles, Physica A 89, 363–372 (1977).
  * [241] V.I. Yukalov, Phase transitions and spontaneous symmetry breaking, in Selected Topics in Statistical Mechanics, Ed. by N.N. Bogolubov (JINR, Dubna, 1978), pp. 437–444.
  * [242] V.I. Yukalov, A new method in the theory of phase transitions, Phys. Lett. A 81, 249–251 (1981).
  * [243] V.I. Yukalov, A method to consider metastable states, Phys. Lett. A 81, 433–435 (1981).
  * [244] V.I. Yukalov, Spaces of states for heterophase systems, Physica A 110, 247–256 (1982).
  * [245] V.I. Yukalov, Effective Hamiltonians for systems with mixed symmetry, Physica A 136, 575–587 (1986).
  * [246] V.I. Yukalov, Renormalization of quasi-Hamiltonians under heterophase averaging, Phys. Lett. A 125, 95–100 (1987).
  * [247] V.I. Yukalov, Procedure of quasiaveraging for heterophase mixtures, Physica A 141, 352–374 (1987).
  * [248] V.I. Yukalov, Lattice mixtures of fluctuating phases, Physica A 144, 369–389 (1987).
  * [249] A.I. Rusanov, Problems of surface thermodynamics, Pure Appl. Chem. 64, 111–124 (1992).
  * [250] S. Kjelstrup and D. Bedeaux, Non-Equilibrium Thermodynamics of Heterogeneous Systems (World Scientific, Singapore, 2008).
  * [251] D. Bedeaux and S. Kjelstrup, Fluid-fluid interfaces of multi-component mixtures in local equilibrium, Entropy 20, 250 (2018).
  * [252] V.I. Yukalov, Phase probabilities as order parameters, in Current Topics in Statistical Physics, Ed. by I.R. Yukhnovsky (Naukova Dumka, Kiev, 1989), Vol. 2, pp. 114–120.
  * [253] V.I. Yukalov, Additional order parameters for heterogeneous systems, in Selected Topics in Statistical Mechanics, Ed. by A.A. Logunov (World Scientific, Sinapore, 1990), pp. 298–312.
  * [254] V.I. Yukalov and A.S. Shumovsky, Lectures on Phase Transitions (World Scientific, Singapore, 1990).
  * [255] A.J. Coleman and V.I. Yukalov, Order indices and mid-range order, Mod. Phys. Lett. B 5, 1679–1686 (1991).
  * [256] A.J. Coleman and V.I. Yukalov, Reduced Density Matrices (Springer, Berlin, 2000).
  * [257] W. Heisenberg, On the theory of ferromagnetism, Zeitschr. Phys. 49, 619–636 (1928).
  * [258] A.S. Shumovsky and V.I. Yukalov, An exactly solvable model of a ferromagnet with paramagnetic nuclei, Dokl. Phys. 25, 361–363 (1980).
  * [259] A.S. Shumovsky and V.I. Yukalov, On specific heat anomalies in magnets, Chem. Phys. Lett. 83, 582–584 (1981).
  * [260] A.S. Shumovsky and V.I. Yukalov, Problem of description of heterophase fluctuations at phase transitions, in Selected Topics in Statistical Mechanics, Ed. by N.N. Bogolubov (JINR, Dubna, 1981), pp. 238–260.
  * [261] A.S. Shumovsky and V.I. Yukalov, Exact solutions for heterophase ferromagnets, Physica A 110, 518–534 (1982).
  * [262] A.S. Shumovsky and V.I. Yukalov, Equilibrium nucleation: A new type of phase transition, Chem. Phys. Lett. 117, 617–621 (1985).
  * [263] A.S. Shumovsky and V.I. Yukalov, Heterophase states in physical systems, Phys. Part. Nucl. 16, 569–592 (1985).
  * [264] I. Lawrie and S. Sarbach, Theory of tricritical points, Phase Trans. Crit. Phenom. 9, 2–163 (1984).
  * [265] V.I. Yukalov, Tricritical phenomena in strongly fluctuating systems, in Statistical Mechanics and Theory of Phase Transitions, Ed. by N.N. Bogolubov (Samara University, Samara, 1989), pp. 12–20.
  * [266] V.I. Yukalov and E.P. Yukalova, Zeroth-order nucleation transition under nanoscale phase separation, Symmetry 13, 2379 (2021).
  * [267] V.I. Yukalov, On the difference between homophase and heterophase fluctuations, in Problems of Statistical Physics and Field Theory, Ed. by Y.I. Zaparovanny (Moscow University, Moscow, 1987).
  * [268] S.V. Tyablikov, Methods in the Quantum Theory of Magnetism (Springer, New York, 1967).
  * [269] A.I. Akhiezer, V.G. Baryakhtar, and S.V. Peletminskii, Spin Waves (North-Holland, Amsterdam, 1968).
  * [270] V.I. Yukalov, Interplay between mesoscopic and microscopic fluctuations in ferromagnets, Physica A 262, 467–482 (1999).
  * [271] L.P. Kadanoff and G. Baym, Quantum Statistical Mechanics (Benjamin, New York, 1962).
  * [272] V.L. Bonch-Bruevich and S.V. Tyablikov, The Green Function Method in Statistical Mechanics (North-Holland, Amsterdam, 1962).
  * [273] V.I. Yukalov, Statistical Green’s Functions (Queen’s University, Kingston, 1998).
  * [274] V.B. Kislinsky, A.S. Shumovsky, and V.I. Yukalov, Metastable heterophase system of the Ising type. Phys. Lett. A 109, 254–256 (1985).
  * [275] L. Onsager, Crystal statistics: A two-dimensional model with an order-disorder transition, Phys. Rev. 65, 117–149, (1944).
  * [276] J.F. Nagle, Ising chain with competing interactions, Phys. Rev. A 2, 2124–2128 (1970).
  * [277] V.B. Kislinsky and V.I. Yukalov, Crossover between short- and long-range interactions in the one-dimensional Ising model, J. Phys. A 21, 227–232 (1988).
  * [278] V.I. Yukalov, Stabilizing role of mesoscopic fluctuations in spin systems, Physica A 261, 482–498 (1998).
  * [279] I.K. Kudryavtsev, A.S. Shumovsky, and V.I. Yukalov, On a model of hybrid antiferromagnet, in Selected Topics in Statistical Mechanics, Ed. by N.N. Bogolubov (JINR, Dubna, 1981), pp. 318–325.
  * [280] M.A. Boky, I.K. Kudryavtsev, A.S. Shumovsky, and V.I. Yukalov, Model of antiferromagnet with heterophase fluctuations, Fizika 19, 263–284 (1987).
  * [281] M.A. Boky, I.K. Kudryavtsev, and V.I. Yukalov, Critical temperature in heterophase Hubbard model, Solid State Commun. 63, 731–735 (1987).
  * [282] M.A. Boky and V.I. Yukalov, Generalization of the Vonsovsky-Ziener model for heterogeneous systems, in Selected Topics in Statistical Mechanics, Ed. by N.N. Bogolubov (JINR, Dubna, 1984), Vol. 1, pp. 170–176.
  * [283] S.V. Vonsovsky, Magnetism (Wiley, New York, 1974).
  * [284] V.Y. Irchin, S.V. Vonsovsky and a contemporary model description of magnetism, Phys. Met. Metallogr. 110, 602–641 (2010).
  * [285] D. Sherrington and S. Kirkpatrick, Solvable model of a spin-glass, Phys. Rev. Lett. 35, 1792–1795 (1975).
  * [286] S. Kirkpatrick and D. Sherrington, Infinite-ranged models of spin-glasses, Phys. Rev. B 17, 4384–4403 (1978).
  * [287] V.B. Kislinsky and V.I. Yukalov, Modified Sherrington-Kirkpatrick model for heterophase spin glass, in Selected Topics in Statistical Mechanics, Ed. by N.N. Bogolubov (JINR, Dubna, 1984), Vol. 1, pp. 344–349.
  * [288] S.F. Edwards and P.W. Anderson, Theory of spin glasses, J. Phys. F 5, 965–974 (1975).
  * [289] J.R.L. De Almeida and D.J. Thouless, Stability of the Sherrington-Kirkpatrick solution of a spin glass model, J. Phys. A 11, 983–990 (1978).
  * [290] G. Parisi, The order parameter for spin glasses: A function on the interval $0-1$, J. Phys. A 13, 1101–1112 (1980).
  * [291] A.A. Bakasov and V.I. Yukalov, Microscopic theory of spin reorientations: Heterophase approach and basic model, Physica A 157, 1203–1226 (1989).
  * [292] A.A. Bakasov and V.I. Yukalov, Microscopic theory of spin reorientations: Thermodynamics and nucleation phenomenon, Physica A 162, 31–66 (1989).
  * [293] V.I. Yukalov, Microscopic theory of spin reorientations: General analysis, Physica A 167, 833–860 (1990).
  * [294] A. Bianconi, Superstripes, Int. J. Mod. Phys. B 14, 3289–3297 (2000).
  * [295] A.S. Shumovsky and V.I. Yukalov, Microscopic model of a superconductor with normal-state nuclei, Dokl. Phys. 27, 709–711 (1982).
  * [296] V.I. Yukalov, On the model of heterophase superconductor (JINR, Dubna, 1985).
  * [297] J.G. Bednorz and K.A. Müller, Possible high $T_{c}$ super-conductivity in the Ba-La-Cu-O system, Z. Phys. B 64, 189–193 (1986).
  * [298] A.S. Shumovsky and V.I. Yukalov, Two-fluid superconductor as an example of heterophase systems, Phys. Many-Part. Syst. 14, 24–28 (1988).
  * [299] A.S. Shumovsky and V.I. Yukalov, On a new formula for temperature of superconducting transition, in Selected Topics in Statistical Mechanics, Ed. by N.N. Bogolubov (JINR, Dubna, 1988), pp. 434–443.
  * [300] V.I. Yukalov, Heterostructural fluctuations in superconductors, Int. J. Mod. Phys. B 6, 91–107 (1992).
  * [301] A.J. Coleman, E.P. Yukalova, and V.I. Yukalov, Superconductors with mesoscopic phase separation, Physica C 243, 76–92 (1995).
  * [302] V.I. Yukalov and E.P. Yukalova, Mesoscopic phase separation in anisotropic superconductors, Phys. Rev. B 70, 224516 (2004).
  * [303] V.I. Yukalov and E.P. Yukalova, Statistical theory of materials with nanoscale phase separation, J. Supercond. Nov. Magn. 27, 919–924 (2014).
  * [304] A.J. Coleman and V.I. Yukalov, Relation between microscopic and macroscopic characteristics of statistical systems, Int. J. Mod. Phys. B 10, 3505–3515 (1996).
  * [305] V.I. Yukalov, Theory of cold atoms: Basics of quantum statistics, Laser Phys. 23, 062001 (2013).
  * [306] D. Pines, Elementary Excitations in Solids (Benjamin, New York, 1963).
  * [307] J.M. Ziman, Principles of the Theory of Solids (Cambridge University, Cambridge, 1972).
  * [308] J. Bardeen, L.N. Cooper, and J.R. Schrieffer, Microscopic theory of superconductivity, Phys. Rev. 106, 162–163 (1957).
  * [309] J. Bardeen, L.N. Cooper, and J.R. Schrieffer, Theory of superconductivity, Phys. Rev. 108, 1175–1203 (1957).
  * [310] J. Van Harlingen, Phase-sensitive tests of the symmetry of the pairing state in the high-temperature superconductors: Evidence for $d_{x^{2}-y^{2}}$ symmetry, Rev. Mod. Phys. 67, 515–535 (1995).
  * [311] C. Tsuei and J.R. Kirtley, Pairing symmetry in cuprate superconductors, Rev. Mod. Phys. 72, 969–1016 (2000).
  * [312] V. Kabanov, J. Demsar, B. Podobnik, and D. Mihailovic, Quasiparticle relaxation dynamics in superconductors with different gap structures: Theory and experiments on YBa2Cu3O7-δ, Phys. Rev. B 59, 1497–1506 (1999).
  * [313] R. Blinc and B. Zeks, Soft Modes in Ferroelectrics and Antiferroelectrics (North-Holland, Amsterdam, 1974).
  * [314] E.K. Bashkirov and V.I. Yukalov, On microscopic theory of heterophase states in ferroelectrics, in Selected Topics in Classical and Quantum Physics, Ed. by Y.I. Granovsky (Samara University, Samara, 1983), pp. 99–107.
  * [315] E.K. Bashkirov and V.I. Yukalov, Heterophase phenomena in ferroelectrics, in Selected Topics in Statistical Mechanics, Ed. by N.N. Bogolubov (JINR, Dubna, 1984), Vol. 1, pp. 76–82.
  * [316] V.I. Yukalov, Heterophase fluctuations in ferroelectrics, Ferroelectrics 82, 11–24 (1988).
  * [317] V.I. Yukalov and E.P. Yukalova, Nanoscale phase separation in ferroelectric materials, J. Supercond. Nov. Magn. 29, 3119–3126 (2016).
  * [318] N. Marzari, A.A. Mostofi, J.R. Yates, I. Souza, and D. Vanderbilt, Maximally localized Wannier functions: Theory and applications, Rev. Mod. Phys. 84, 1419–1475 (2012).
  * [319] V.I. Yukalov and E.P. Yukalova, Asymptotic properties of eigenvalues in variational calculations for double-well oscillators, J. Phys. A 29, 6429–6442 (1996).
  * [320] V.I. Yukalov and E.P. Yukalova, Mesoscopic disorder in double-well optical lattices, Laser Phys. 21, 1448–1458 (2011).
  * [321] V.I. Yukalov and E.P. Yukalova, Double-well optical lattices with atomic vibrations and mesoscopic disorder, Laser Phys. 22, 1070–1080 (2012).
  * [322] V.I. Yukalov and E.P. Yukalova, Statistics of multiscale fluctuations in macromolecular systems, J. Phys. Chem. B 116, 8435–8448 (2012).
  * [323] V.I. Yukalov and E.P. Yukalova, Statistical models of nonequilibrium Bose gases, Rom. Rep. Phys. 67, 159–185 (2015).
  * [324] A.M. Akhmeteli, A.S. Shumovsky, and V.I. Yukalov, Spin-phonon interaction in a model of hybrid ferromagnet, in Selected Topics in Statistical Mechanics, Ed. by N.N. Bogolubov (JINR, Dubna, 1981), pp. 300–306.
  * [325] V.I. Yukalov, Spin-phonon interactions in heterophase ferromagnets, Physica A 155, 519–544 (1989).
  * [326] V.I. Yukalov, Properties of crystals with local symmetry breaking, in Symmetry and Structural Properties of Condensed Matter, Ed. by W. Florek, T. Lulek, and M. Mucha (World Scientific, Singapore, 1991), pp. 141–152.
  * [327] V.I. Yukalov, Influence of structural fluctuations on the dynamical characteristics of solids, Chem. Phys. Lett. 229, 239–243 (1994).
  * [328] V.I. Yukalov, Statistical mechanics of structural fluctuations, Physica A 213, 500–524 (1995).
  * [329] V.I. Yukalov and E.P. Yukalova, Crystal symmetry and time scales, in Symmetry and Structural Properties of Condensed Matter, Ed. by T. Lulek, B. Lulek, and A. Wal (World Scientific, Singapore, 2001), pp. 383–393.
  * [330] V.I. Yukalov, Destiny of optical lattices with strong intersite interactions, Laser Phys. 30, 015501 (2020).
  * [331] V.I. Yukalov, From optical lattices to quantum crystals, J. Phys. Conf. Ser. 1508, 012008 (2020).
  * [332] R.A. Guyer, The physics of quantum crystals, Solid State Phys. 23, 413–499 (1969).
  * [333] V.G. Bhide and M.S. Multani, Mössbauer effect in ferroelectric BaTiO3, Phys. Rev. A 139, 1983–1990 (1965).
  * [334] V.G. Bhide and G.K. Shenoy, Temperature dependent lifetimes of nonequilibrium Fe57 ions in CoO from the Mössbauer effect, Phys. Rev. 147, 306–310 (1966).
  * [335] V.G. Bhide and M.S. Hegde, Mössbauer effect for Fe57 in ferroelectric lead titanate, Phys. Rev. B 5, 3488–3499 (1972).
  * [336] V.G. Bhide, Mössbauer Effect and its Applications (McGraw-Hill, New Delhi, 1973).
  * [337] F.G. Owens, C.P. Poole, and H.A. Farrach, Eds. Magnetic Resonance of Phase Transitions (Academic, New York, 1979).
  * [338] B.V. Thosar and P.K. Iyengar, Eds. Advances in Mössbauer Spectroscopy: Application to Physics, Chemistry and Biology (Elsevier, Amsterdam, 1983).
  * [339] A.R. Bishop, S.R. Shenoy, and S. Sridhar, Eds. Intrinsic Multiscale Structure and Dynamics in Complex Electronic Oxides (World Scientific, Singapore, 2002).
  * [340] T. Egami, and S.J. Billinge, Underneath the Bragg Peacks (Pergamon, Amsterdam, 2003).
  * [341] K.A. Müller and A. Bussmann-Holder, Eds. Superconductivity in Complex Systems (Springer, Berlin, 2004).
  * [342] D. Sirdeshmukh, L. Sirdeshmukh, and K.G. Subhadra, Micro- and Macro-Properties of Solids (Springer, Berlin, 2006).
  * [343] G. Meissner and K. Binder, Debye-Waller factor, compressibility sum rule, and central peak at structural phase transitions, Phys. Rev. B 12 3948–3955 (1975).
  * [344] K. Binder, G. Meissner, and H. Mais, Equation of state, Debye-Waller factor, and electrical resistivity of ferroelectrics near their critical point, Phys. Rev. B 13, 4890–4898 (1976).
  * [345] V.I. Yukalov, Mössbauer effect in magnetic materials, in Selected Topics in Statistical Mechanics, Ed. by N.N. Bogolubov (JINR, Dubna, 1988), pp. 444–467.
  * [346] V.I. Yukalov, Mössbauer-effect probability for heterogeneous matters, Solid State Commun. 69, 393–395 (1989).
  * [347] V.I. Yukalov, Magnetic anomalies under Mössbauer effect, in Physics of Transition Metals, Ed. by V.G. Baryakhtar (Naukova Dumka, Kiev, 1989), Vol. 2, pp. 165–168.
  * [348] V.I. Yukalov, Collective effects during nuclear gamma-resonance, in Proceedings of Workshop on Gravitational Wave Emitter and Detector, Ed. by A.F. Pisarev (JINR, Dubna, 1989), pp. 66–73.
  * [349] V.I. Yukalov, Anomalous saggings of Mössbauer effect probability at phase transitions, Hyperf. Interact. 55, 1165–1168 (1990).
  * [350] V.I. Yukalov, Influence of radiation damage on Mössbauer effect probability, Hyperf. Interact. 56, 1657–1660 (1990).
  * [351] V.I. Yukalov, Mössbauer spectroscopy of heterophase systems, in Topics in Application of Nuclear Raiation, Ed. by Y.F. Babikova (Energoatomizdat, Moscow, 1991), pp. 33–38.
  * [352] F.A. Lindemann, The calculation of molecular vibration frequencies, Z. Phys. 11, 609–612 (1910).
  * [353] V.I. Yukalov and K. Ziegler, Instability of insulating states in optical lattices due to collective phonon excitations, Phys. Rev. A 91, 023628 (2015).
  * [354] V.I. Yukalov and K. Ziegler, Phonon instability of insulating states in optical lattices, J. Phys. Conf. Ser. 691, 012014 (2016).
  * [355] A.H. Cottrell, Dislocations and Plastic Flow in Crystals (Oxford University, London, 1953).
  * [356] J. Friedel, Dislocations (Pergamon, Oxford, 1967).
  * [357] J.M. Ziman, Models of Disorder (Cambridge University, Cambridge, 1979).
  * [358] J.P. Hirth and J. Lothe, Theory of Dislocations (Wiley, New York, 1982).
  * [359] D. Hull and D. Bacon, Introduction to Dislocations (Elsevier, Oxford, 2001).
  * [360] V.I. Yukalov, Properties of solids with pores and cracks, Int. J. Mod. Phys. B 3, 311–326 (1989).
  * [361] E.P. Kadantseva and V.I. Yukalov, Thermodynamics of solids with regions of disorder, Int. J. Mod. Phys. B 3, 465–472 (1989).
  * [362] V.I. Yukalov and E.P. Yukalova, Chaotic lattice-gas model, Physica A 213, 482–499 (1995).
  * [363] V.I. Yukalov and E.P. Yukalova, Possibility of turbulent crystals, Int. J. Mod. Phys. B 15, 2433–2453 (2001).
  * [364] V.I. Yukalov and E.P. Yukalova, Optical lattice with heterogeneous atomic density, Laser Phys. 25, 035501 (2015).
  * [365] V.I. Yukalov and E.P. Yukalova, Statistical theory of structures with extended defects, in Mechanics and Physics of Structured Media, Ed. by I. Andrianov, S. Gluzman, and V. Mityushev (Elsevier, London, 2022), pp. 417–443.
  * [366] J.O. Hirschfelder, C.F. Curtiss, and R.B. Bird, Molecular Theory of Gases and Liquids (Wiley, New York, 1954).
  * [367] A.R. Ubbelohde, Melting and Crystal Structure, (Oxford University, London, 1965).
  * [368] V.I. Yukalov, Theory of melting and crystallization, Phys. Rev. B 32, 436–446 (1985).
  * [369] J.G. Kirkwood, Quantum Statistics and Cooperative Phenomena (Gordon and Breach, New York, 1965).
  * [370] N.N. Bogolubov, On the theory of superfluidity, J. Phys. (Moscow) 11, 23–32 (1947).
  * [371] V.I. Yukalov, On the description of quasiparticles by Green functions, Theor. Math. Phys. 17, 1244–1248 (1973).
  * [372] V.I. Yukalov, Strongly interacting particles with strongly singular potentials, Int. J. Theor. Phys. 28, 1237–1254 (1989).
  * [373] V.I. Yukalov, Principal problems in Bose-Einstein condensation of dilute gases, Laser Phys. Lett. 1, 435–461 (2004).
  * [374] V.I. Yukalov, Statistical systems with nonintegrable interaction potentials, Phys. Rev. E 94, 012106 (2016).
  * [375] A.F. Andreev and I.M. Lifshits, Quantum theory of defects in crystals, J. Exp. Theor. Phys. 29, 1107–1113 (1969).
  * [376] G.V. Chester, Speculations on Bose-Einstein condensation and quantum crystals, Phys. Rev. A 2, 256–258 (1970).
  * [377] N.N. Bogolubov, Lectures on Quantum Statistics (Ryadyanska Shkola, Kiev, 1949).
  * [378] E.P. Gross, Unified theory of interacting bosons, Phys. Rev. 106, 161–162 (1957).
  * [379] E.P. Gross, Classical theory of boson wave fields, Ann. Phys. (N.Y.) 4, 57–74 (1958).
  * [380] E.P. Gross, Quantum theory of interacting bosons, Ann. Phys. (N.Y.) 9, 292–324 (1960).
  * [381] E.P. Gross, Periodic ground states in the many-body problem, Phys. Rev. Lett. 4, 599–601 (1960).
  * [382] E.P. Gross, Structure of a quantized vortex in boson systems, Nuovo Cimento 20, 454–477 (1961).
  * [383] E.P. Gross, Hydrodynamics of a superfluid condensate, J. Math. Phys. 4, 195–207 (1963).
  * [384] D.A. Kirzhnits and Y.A. Nepomnyashchii, Coherent crystallization of quantum liquid, J. Exp. Theor. Phys. 32, 1191–1197 (1971).
  * [385] N. Prokof’ev, What makes a crystal supersolid? Adv. Phys. 56, 381–402 (2007).
  * [386] A.B. Kuklov, N.V. Prokof’ev, and B.V. Svistunov, How solid is supersolid? Physics 4, 109 (2011).
  * [387] M. Boninsegni and N.V. Prokof’ev, Supersolids: What and where are they? Rev. Mod. Phys. 84, 759–776 (2012).
  * [388] V.I. Yukalov, Saga of superfluid solids, Physics 2, 49–66 (2020).
  * [389] D.V. Fil and S.I. Shevchenko, Supersolid induced by dislocations with superfluid cores, Low Temp. Phys. 48, 429–451 (2022).
  * [390] V.I. Yukalov, Nonequivalent operator representations for Bose-condensed systems, Laser Phys. 16, 511–525 (2006).
  * [391] V.I. Yukalov, Bose-Einstein condensation and gauge symmetry breaking, Laser Phys. Lett. 4, 632–647 (2007).
  * [392] V.I. Yukalov, Fluctuations of composite observables and stability of statistical systems, Phys. Rev. E 72, 066119 (2005).
  * [393] V.I. Yukalov, Self-consistent theory of Bose-condensed systems, Phys. Lett. A 359, 712–717 (2006).
  * [394] V.I. Yukalov, Representative ensembles in statistical mechanics, Int. J. Mod. Phys. B 21, 69–86 (2007).
  * [395] V.I. Yukalov, Representative statistical ensembles for Bose systems with broken gauge symmetry, Ann. Phys. (N.Y.) 323, 461–499 (2008).
  * [396] P.C. Hohenberg and P.C. Martin, Microscopic theory of superfluid helium, Ann. Phys. (N.Y.) 34, 291–359 (1965).
  * [397] N.M. Hugenholtz and D. Pines, Ground-state energy and excitation spectrum of a system of interacting bosons, Phys. Rev. 116, 489–506 (1959).
  * [398] A.A. Nepomnyashchii and Y.A. Nepomnyashchii, Contribution to the theory of a spectrum of a Bose system with condensate at small momenta, JETP Lett. 21, 1–2 (1975).
  * [399] V.I. Yukalov and E.P. Yukalova, Bose-Einstein condensed gases with arbitrary strong interactions, Phys. Rev. A 74, 063623 (2006)
  * [400] V.I. Yukalov and E.P. Yukalova, Condensate and superfluid fractions for varying interactions and temperature, Phys. Rev. A 76, 013602 (2007).
  * [401] V.I. Yukalov and E.P. Yukalova, Bose-Einstein condensation in self-consistent mean-field theory, J. Phys. B 47, 095302 (2014)
  * [402] V.I. Yukalov and E.P. Yukalova, Ground state of a homogeneous Bose gas of hard spheres, Phys. Rev. A 90, 013627 (2014).
  * [403] V.I. Yukalov and E.P. Yukalova, Bose-Einstein condensation temperature of weakly interacting atoms, Laser Phys. Lett. 14, 073001 (2017).
  * [404] V.I. Yukalov and E.P. Yukalova, Local condensate depletion at trap center under strong interactions, J. Phys. B 51, 085301 (2018).
  * [405] V.I. Yukalov and E.P. Yukalova, Hartree-Fock-Bogolubov method in the theory of Bose-condensed systems, Phys. Part. Nucl. 51, 823–828 (2020).
  * [406] R.A. Aziz, V.P.S. Nain, and J.S. Carley An accurate intermolecular potential for helium, J. Chem. Phys. 70, 4330–4342 (1979).
  * [407] R.A. Aziz, W.J. Meath, and A.R. Allnatt, On the Ne-Ne potential-energy curve and related properties, Chem. Phys. 78, 295–309 (1983).
  * [408] R.A. Aziz, F.R.W. McCourt, and C.C.K. Wong, A new determination of the ground state interatomic potential for He2, Mol. Phys. 61, 1487–1511 (1987).
  * [409] J.A. Hodgdon and F.H. Stillinger, Inherent structures in the potential energy landscape of solid 4He, J. Chem. Phys. 102, 457–464 (1995).
  * [410] D.M. Ceperley, R.O. Simmons, and R.C. Blasdell, Kinetic energy of liquid and solid 4He, Phys. Rev. Lett. 77, 115–118 (1996).
  * [411] S.O. Diallo, J.V. Pearce, R.T. Azuah, and H.R. Glyde, Quantum momentum distribution and kinetic energy in solid 4He, Phys. Rev. Lett. 93, 075301 (2004).
  * [412] H.J. Maris and S. Balibar, Supersolidity and the thermodynamics of solid Helium, J. Low Temp. Phys. 147, 539–547 (2007).
  * [413] C. Cazorla, G.E. Astrakharchik, J. Casulleras, and J. Boronat, Bose-Einstein quantum statistics and the ground state of solid 4He, New J. Phys. 11, 013047 (2009).
  * [414] S.A. Vitiello, Helium atoms kinetic energy at temperature $T=0$, J. Low Temp. Phys. 162, 154–159 (2011).
  * [415] M.H.W. Chan, R.B. Hallock, and L. Reatto, Overview on solid 4He and the issue of supersolidity, J. Low Temp. Phys. 172, 317–363 (2013).
  * [416] C. Casorla and J. Boronat, Simulation and understanding of atomic and molecular quantum crystals, Rev. Mod. Phys. 89, 035003 (2017).
  * [417] E.V. Shuryak, Quantum chromodynamics and the theory of superdense matter, Phys. Rep. 61, 71–158 (1980).
  * [418] J. Rafelsky, Formation and observation of the quark-gluon plasma, Phys. Rep. 88, 331–348 (1982).
  * [419] H. Satz, Critical behaviour in finite temperature QCD, Phys. Rep. 88, 349–364 (1982).
  * [420] R. Hagedorn, Multiplicities, $p_{T}$ distributions and the expected hadron $\rightarrow$ quark-gluon phase transition, Riv. Nuovo Cimento 6, 1–50 (1983).
  * [421] J. Cleymans, R. Gavai, and E. Suhonen, Quarks and gluons at high temperatures and densities, Phys. Rep. 130, 217–292 (1986).
  * [422] H. Stöcker and W. Greiner, High-energy heavy ion collisions: Probing the equation of state of highly excited hadronic matter, Phys. Rep. 137, 277–392 (1986).
  * [423] R. Clare and D. Strottman, Relativistic hydrodynamics and heavy ion reactions, Phys. Rep. 141, 177–280 (1986).
  * [424] L. McLerran, The physics of the quark-gluon plasma, Rev. Mod. Phys. 58, 1021–1064 (1986).
  * [425] H. Reeves, Big Bang nucleosynthesis and the quark-hadron phase transition, Phys. Rep. 201, 335–354 (1991).
  * [426] C. Adami and G.E. Brown, Matter under extreme conditions, Phys. Rep. 234, 1–71 (1993).
  * [427] V.I. Yukalov and E.P. Yukalova, Thermodynamics of strong interactions, Phys. Part. Nucl. 28, 37–65 (1997).
  * [428] V.I. Yukalov and E.P. Yukalova, Multichannel approach to clustering matter, Physica A 243, 382–414 (1997).
  * [429] N.K. Glendenning, Phase transitions and crystalline structures in neutron star cores, Phys. Rep. 342, 393–447 (2001).
  * [430] H. Satz, States of strongly interacting matter, Lect. Notes Phys. 616, 126–137 (2003).
  * [431] R.A. Soltz, C. DeTar, F. Karsch, S. Mukherjee, and P. Vranas, Lattice QCD thermodynamics with physical quark masses, Annu. Rev. Nucl. Part. Sci. 65, 379–402 (2015).
  * [432] A. Ayala, Hadronic matter at the edge: A survey of some theoretical approaches to the physics of the QCD phase diagram, J. Phys. Conf. Ser. 761, 012066 (2016).
  * [433] W. Busza, K. Rajagopal, and W. van der Schee, Heavy ion collisions: The big picture, and the big questions, Ann. Rev. Nucl. Part. Sci. 68, 1–49 (2018).
  * [434] J.N. Guenther, Overview of the QCD phase diagram, Eur. Phys. J. A 57, 136 (2021).
  * [435] D.I. Blokhintsev, On the fluctuations of nuclear matter, J. Exp. Theor. Phys. 6, 995–999 (1958).
  * [436] A.M. Baldin, Physics of relativistic nuclei, Phys. Part. Nucl. 8, 429–477 (1977).
  * [437] M.I. Strikman and L.L. Frankfurt, Probing few nucleon correlations in deuteron and nuclei in high energy scattering, Phys. Part. Nucl. 11, 571–629 (1980).
  * [438] A.V. Efremov, Quark-parton picture of the cumulative production, Phys. Part. Nucl. 13, 613–634 (1982).
  * [439] A.M. Baldin and A.A. Baldin, Relativistic nuclear physics: Relative $4$-velocity space, symmetries of solutions, correlation depletion principle, similitude, intermediate asymptotics, Phys. Part. Nucl. 29, 577–630 (1998).
  * [440] S.S. Shimanskiy, in Relativistic Nuclear Physics: From Hundreds of MeV to Tev (JINR, Dubna, 2019), pp. 179–186.
  * [441] A.P. Kobushkin and V.P. Shelest, Problems of relativistic quark dynamics and quark structure of deuteron, Phys. Part. Nucl. 14, 1146–1192 (1983).
  * [442] M.M. Makarov, Dibaryon resonanses, Phys. Part. Nucl. 15, 941–981 (1984).
  * [443] V.V. Burov, V.K. Lukyanov, and A.I. Titov, Multiquark systems in nuclear processes, Phys. Part. Nucl. 15, 1249–1295 (1984).
  * [444] A.M. Baldin, R.G. Nazmitdinov, A.V. Chizhov, A.S. Shumovsky, and V.I. Yukalov, Coexistence of a hadron phase and a hexaquark phase in nuclear matter, Dokl. Phys. 29, 952–954 (1984).
  * [445] A.M. Baldin, R.G. Nazmitdinov, A.V. Chizhov, A.S. Shumovsky, and V.I. Yukalov, On heterogeneous states in nuclear matter, in Multiquark Interactions and Quantum Chromodynamics, Ed. by A.M. Baldin (JINR, Dubna, 1984), pp. 531–543.
  * [446] A.M. Baldin, A.S. Shumovsky, and V.I. Yukalov, Statistical Methods of Describing Quark Degrees of Freedom (JINR, Dubna, 1985).
  * [447] A.M. Baldin, A.S. Shumovsky, and V.I. Yukalov, Quark matter as a statistical system, Phys. Many–Part. Syst. 10, 10–18 (1986).
  * [448] A.V. Chizhov, R.G. Nazmitdinov, A.S. Shumovsky, and V.I. Yukalov, Statistical model of coexisting multiquark clusters, Nucl. Phys. A 449, 660–672 (1986).
  * [449] V.I. Yukalov, Conditions for nuclear matter lasers, Laser Phys. 8, 1249–1256 (1998).
  * [450] V.I. Yukalov and E.P. Yukalova, Equation of state in quantum chromodynamics, in Relativistic Nuclear Physics and Quantum Chromodynamics, Ed. by A.M. Baldin and V.V. Burov (JINR, Dubna, 2000), Vol. 2, pp. 238–245.
  * [451] V.I. Yukalov and E.P. Yukalova, Do we understand what is deconfinement? in Relativistic Nuclear Physics and Quantum Chromodynamics, Ed. by A.M. Baldin, V.V. Burov, and A.I. Malakhov (JINR, Dubna, 2001), Vol. 1, pp. 109–126.
  * [452] V.I. Yukalov and E.P. Yukalova, Coherent nuclear radiation, Phys. Part. Nucl. 35, 348–382 (2004).
  * [453] V.I. Yukalov and E.P. Yukalova, Models of mixed hadron-quark-gluon matter, Proc. Sci. (ISHEPP) 2012, 046 (2012).
  * [454] D. Ter Haar, Elements of Statistical Mechanics (Rinehart, New York, 1956).
  * [455] S. Tani, Scattering involving a bound state, Phys. Rev. 117, 252–260 (1960).
  * [456] S. Weinberg, Elementary particle theory of composite particles, Phys. Rev. 130, 776–782 (1963).
  * [457] S. Weinberg, Systematic solution of multiparticle scattering problems, Phys. Rev. B 133, 232–256 (1964).
  * [458] S. Weinberg, Phenomenological Lagrangians, Physica A 96, 327–340 (1979).
  * [459] M.D. Girardeau, Second-quantization representation for systems of atoms, nuclei, and electrons, Phys. Rev. Lett. 27, 1416–1418 (1971).
  * [460] M.D. Girardeau, Second‐quantization representation for a nonrelativistic system of composite particles: Generalized Tani transformation and its iterative evaluation, J. Math. Phys. 16, 1901–1919 (1975).
  * [461] M.D. Girardeau, Second-quantization representation for a nonrelativistic system of composite particles: Kinematical properties of the multispecies Tani transformation, J. Math. Phys. 19, 2605–2613 (1978).
  * [462] M.D. Girardeau and J.D. Hilbert, Fock-Tani representation for the quantum theory of reactive collisions, Physica A 97, 42–74 (1979).
  * [463] R. Machleidt, K. Holinde, and C. Elster, The Bonn meson-exchange model for the nucleon-nucleon interaction, Phys. Rep. 149, 1–89 (1987).
  * [464] V.I. Yukalov and E.P. Yukalova, Bose-condensed atomic systems with nonlocal interaction potentials, Laser Phys. 26, 045501 (2016).
  * [465] Y. Aoki, G. Endrodi, Z. Fodor, S. Katz, and K. Szabo, The order of the quantum chromodynamics transition predicted by the standard model of particle physics, Nature 443 675–678 (2006).
  * [466] F. Karsch, Lattice results on QCD at high temperature and non-zero baryon number density, Prog. Part. Nucl. Phys. 62, 503–511 (2009).
  * [467] S. Borsanyi, Z. Fodor, C. Hoelbling, S.D. Katz, S. Krieg, C. Ratti, and K. Szabo, Is there still any $T_{c}$ mystery in lattice QCD? Results with physical masses in the continuum limit, J. High Energy Phys. 2010, 73 (2010).
  * [468] A. Bazavov et al., Chiral and deconfinement aspects of the QCD transition, Phys. Rev. D 85, 054503 (2012).
  * [469] O. Philipsen, The QCD equation of state from the lattice, Prog. Part. Nucl. Phys. 70, 55–107 (2013).
  * [470] J.L. Birman, R.G. Nazmitdinov, and V.I. Yukalov, Effects of symmetry breaking in finite quantum systems, Phys. Rep. 526, 1–91 (2013).