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Procedure of quasi-averaging for heterophase mixtures

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  • Yukalov, V.I.

Abstract

For a continuous heterophase system of arbitrary type the procedure of averaging over heterophase fluctuations is defined. The consideration is based on the use of the Gibbs quasi-equilibrium ensembles in the method of separating surfaces. Averaging over phase configurations is given by means of a functional integration over characteristic functions of phase submanifolds. As an illustration, a renormalized Hamiltonian for a system with a two-particle interaction is found. Convenient methods of separating phases and of calculating the corresponding quasi-averages are formulated.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:141:y:1987:i:2:p:352-374
    DOI: 10.1016/0378-4371(87)90171-3
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    1. Binder, Arnold & Binder, Virginia L., 1982. "Juvenile diversion and the constitution," Journal of Criminal Justice, Elsevier, vol. 10(1), pages 1-24.
    2. Dechert, W. D., 1982. "Lagrange multipliers in infinite horizon discrete time optimal control models," Journal of Mathematical Economics, Elsevier, vol. 9(3), pages 285-302, March.
    3. Yukalov, V.I., 1980. "Bose condensation in strongly monideal systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 100(2), pages 431-442.
    4. Yukalov, V.I., 1981. "Statistical theory of heterophase fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 108(2), pages 402-416.
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