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Multichannel approach to clustering matter

Author

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  • Yukalov, V.I.
  • Yukalova, E.P.

Abstract

An approach is developed, combining the ideas of quantum statistical mechanics and multichannel theory of scattering, for treating statistical systems whose constituents can possess different bound states realized as compact clusters. The main principles for constructing multichannel cluster Hamiltonians are formulated: principle of statistical correctness, principle of cluster coexistence, and principle of potential scaling. The importance of the principle of statistical correctness is emphasized by showing that when it does not hold the behaviour of thermodynamic functions becomes essentially distorted. And moreover, unphysical instabilities can appear. The ideas are carefully illustrated by a statistical model of hot nuclear matter.

Suggested Citation

  • Yukalov, V.I. & Yukalova, E.P., 1997. "Multichannel approach to clustering matter," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 243(3), pages 382-414.
    • Handle: RePEc:eee:phsmap:v:243:y:1997:i:3:p:382-414
    DOI: 10.1016/S0378-4371(97)00268-9
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    References listed on IDEAS

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    1. Yukalov, V.I. & Yukalova, E.P., 1993. "Self-similar approximations for thermodynamic potentials," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 198(3), pages 573-592.
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    1. Yukalov, V.I. & Yukalova, E.P., 1994. "Higher orders of self-similar approximations for thermodynamic potentials," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 206(3), pages 553-580.
    2. Yukalov, V.I. & Yukalova, E.P., 1996. "Evaporation and condensation of clusters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 223(1), pages 15-33.
    3. Yukalov, V.I. & Yukalova, E.P., 1996. "Temporal dynamics in perturbation theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 225(3), pages 336-362.

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