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Statistical theory of heterophase fluctuations

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  • Yukalov, V.I.

Abstract

We present the physical basis and mathematical foundations for constructing a microscopic statistical theory of systems with heterophase fluctuations. Averaging over these fluctuations allows us to find an effective Hamiltonian, corresponding to a quasi-equilibrium situation. Phase probabilities are defined and new classifications of phase transitions are suggested.

Suggested Citation

  • Yukalov, V.I., 1981. "Statistical theory of heterophase fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 108(2), pages 402-416.
    • Handle: RePEc:eee:phsmap:v:108:y:1981:i:2:p:402-416
    DOI: 10.1016/0378-4371(81)90139-4
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    References listed on IDEAS

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    1. Yukalov, V.I., 1980. "Bose condensation in strongly monideal systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 100(2), pages 431-442.
    2. Marvin A. Schaars, 1955. "Discussion: Local Data Wanted by Business Firms," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 37(5), pages 1057-1058.
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    Cited by:

    1. Yukalov, V.I., 1987. "Procedure of quasi-averaging for heterophase mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 141(2), pages 352-374.
    2. Yukalov, V.I., 1987. "Lattice mixtures of fluctuating phases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 144(2), pages 369-389.
    3. Yukalov, V.I., 1995. "Statistical mechanics of structural fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 213(4), pages 500-524.
    4. Yukalov, V.I., 1986. "Effective Hamiltonians for systems with mixed symmetry," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 136(2), pages 575-587.
    5. Yukalov, V.I., 1989. "Spin-phonon interactions in heterophase ferromagnets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 155(3), pages 519-544.

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    1. Yukalov, V.I., 1987. "Procedure of quasi-averaging for heterophase mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 141(2), pages 352-374.
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    4. Shumovsky, A.S. & Yukalov, V.I., 1982. "Exact solutions for heterophase ferromagnets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 110(3), pages 518-534.
    5. Golden, Sidney, 1995. "Temporal discreteness and kinematic monotonicity of evolutionary changes in the entropies of ensembles of isolated quantum systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 213(4), pages 597-603.
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    7. Yukalov, V.I., 1989. "Spin-phonon interactions in heterophase ferromagnets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 155(3), pages 519-544.

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