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Interphase Hamiltonian and first-order phase transitions: A generalization of the Lee-Yang theorem

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Abstract

We generalize the Pirogov-Sinai theory and prove the results applicable to first-order phase transitions in the case of both bulk and surface phase lattice models. The region of first-order phase transitions is extended with respect to the chemical activities to the entire complex space ℂФ, where Φ is the set of phases in the model. We prove a generalization of the Lee-Yang theorem: as functions of the activities, the partition functions with a stable boundary condition have no zeros in ℂФ.

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Authors and Affiliations

  1. Saint-Petersburg State University of Technology and Design, St. Petersburg, Russia

    A. G. Basuev

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  1. A. G. Basuev
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Correspondence to A. G. Basuev.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 153, No. 1, pp. 98–123, October, 2007.

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Basuev, A.G. Interphase Hamiltonian and first-order phase transitions: A generalization of the Lee-Yang theorem. Theor Math Phys 153, 1434–1457 (2007). https://doi.org/10.1007/s11232-007-0126-9

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  • DOI: https://doi.org/10.1007/s11232-007-0126-9

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