Geodesic
Interphase Hamiltonian and first-order phase transitions: A~generalization of the~Lee--Yang theorem
Teoretičeskaâ i matematičeskaâ fizika, Tome 153 (2007) no. 1, pp. 98-123

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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 $\mathbb C^\Phi$, where $\Phi$ 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 $\mathbb C^\Phi$.
Keywords: Pirogov–Sinai theory, interphase Hamiltonian, cluster expansion of the interphase Hamiltonian, equation of state, phase diagram, fc-invariance of multiphase contour models.
Mots-clés : multiphase contour model, contour equations 
@article{TMF_2007_153_1_a7,
     author = {A. G. Basuev},
     title = {Interphase {Hamiltonian} and first-order phase transitions: {A~generalization} of {the~Lee--Yang} theorem},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {98--123},
     publisher = {mathdoc},
     volume = {153},
     number = {1},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2007_153_1_a7/}
}
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A. G. Basuev. Interphase Hamiltonian and first-order phase transitions: A~generalization of the~Lee--Yang theorem. Teoretičeskaâ i matematičeskaâ fizika, Tome 153 (2007) no. 1, pp. 98-123. http://geodesic.mathdoc.fr/item/TMF_2007_153_1_a7/