Surface tension and phase coexistence for general lattice systems

Jean Bricmont; Koji Kuroda; Joel L. Lebowitz

doi:10.1007/BF01009748

Surface tension and phase coexistence for general lattice systems

Jean Bricmont, Koji Kuroda, Joel L. Lebowitz

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Abstract

We investigate the surface tension between coexisting phases of general discrete lattice systems. In particular the different phases need not be connected by any symmetry. We prove the positivity of the surface tension in the low-temperature regime where the Pirogov-Sinai theory of first-order phase transitions is valid: finite-range Hamiltonian having a finite number of periodic ground states. We give a brief description (with some extensions) of this theory.

Original language	English (US)
Pages (from-to)	59-75
Number of pages	17
Journal	Journal of Statistical Physics
Volume	33
Issue number	1
DOIs	https://doi.org/10.1007/BF01009748
State	Published - Oct 1983

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Keywords

Gibbs measure
Surface tension
alloys
low temperature phase diagrams

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10.1007/BF01009748

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title = "Surface tension and phase coexistence for general lattice systems",

abstract = "We investigate the surface tension between coexisting phases of general discrete lattice systems. In particular the different phases need not be connected by any symmetry. We prove the positivity of the surface tension in the low-temperature regime where the Pirogov-Sinai theory of first-order phase transitions is valid: finite-range Hamiltonian having a finite number of periodic ground states. We give a brief description (with some extensions) of this theory.",

keywords = "Gibbs measure, Surface tension, alloys, low temperature phase diagrams",

author = "Jean Bricmont and Koji Kuroda and Lebowitz, {Joel L.}",

year = "1983",

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T1 - Surface tension and phase coexistence for general lattice systems

AU - Bricmont, Jean

AU - Kuroda, Koji

AU - Lebowitz, Joel L.

PY - 1983/10

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N2 - We investigate the surface tension between coexisting phases of general discrete lattice systems. In particular the different phases need not be connected by any symmetry. We prove the positivity of the surface tension in the low-temperature regime where the Pirogov-Sinai theory of first-order phase transitions is valid: finite-range Hamiltonian having a finite number of periodic ground states. We give a brief description (with some extensions) of this theory.

AB - We investigate the surface tension between coexisting phases of general discrete lattice systems. In particular the different phases need not be connected by any symmetry. We prove the positivity of the surface tension in the low-temperature regime where the Pirogov-Sinai theory of first-order phase transitions is valid: finite-range Hamiltonian having a finite number of periodic ground states. We give a brief description (with some extensions) of this theory.

KW - Gibbs measure

KW - Surface tension

KW - alloys

KW - low temperature phase diagrams

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IS - 1

ER -

Surface tension and phase coexistence for general lattice systems

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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