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 TMF, 1985, Volume 64, Number 1, Pages 103–129 (Mi tmf4906)

Hamiltonian of the phase separation border and phase transitions of the first kind. I

A. G. Basuev

Abstract: The Pirogov–Sinai theory of phase transitions of the first kind is generalized to the case when the “ground states” of the Hamiltonian of the model are interacting random fields (disordered phases). Border Hamiltonians and corresponding Ursell functions are introduced, and also conditions on them (cluster estimates) that ensure the existence of phase transitions, analyticity of the thermodynamic and correlation functions in the region of stability of given phases, analyticity of the strata of the phase diagram, and convergence of the constructed cluster expansions.

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English version:
Theoretical and Mathematical Physics, 1985, 64:1, 716–734

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Citation: A. G. Basuev, “Hamiltonian of the phase separation border and phase transitions of the first kind. I”, TMF, 64:1 (1985), 103–129; Theoret. and Math. Phys., 64:1 (1985), 716–734

Citation in format AMSBIB
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This publication is cited in the following articles:
1. S. N. Isakov, “Phase diagrams and singularity at the point of a phase transition of the first kind in lattice gas models”, Theoret. and Math. Phys., 71:3 (1987), 638–648
2. A. G. Basuev, “Hamiltonian of the phase separation border and phase transitions of the first kind. II. The simplest disordered phases”, Theoret. and Math. Phys., 72:2 (1987), 861–871
3. A. G. Basuev, “Interphase Hamiltonian and first-order phase transitions: A generalization of the Lee–Yang theorem”, Theoret. and Math. Phys., 153:1 (2007), 1434–1457
4. A. G. Basuev, “Ising model in half-space: A series of phase transitions in low magnetic fields”, Theoret. and Math. Phys., 153:2 (2007), 1539–1574
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