A characterization of first-order phase transitions for superstable interactions in classical statistical mechanics

DOI10.1007/BF01049960zbMath0935.82519OpenAlexW2032418956MaRDI QIDQ1279268

David Klein, Wei-Shih Yang

Publication date: 22 May 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01049960

zbMATH Keywords

continuum modelfirst-order phase transitionGibbs statessuperstable interactiondifferentiability of the pressure

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21)

Related Items (9)

Uniqueness of diffusion generators for two types of particle systems with singular interactions ⋮ On separation of phases in one-dimensional gases ⋮ PHASE TRANSITIONS AND QUANTUM EFFECTS IN ANHARMONIC CRYSTALS ⋮ ON RELATIONS BETWEEN A PRIORI BOUNDS FOR MEASURES ON CONFIGURATION SPACES ⋮ Stochastic differential equations in a scale of Hilbert spaces. Global solutions ⋮ Stochastic differential equations in a scale of Hilbert spaces ⋮ Non-equilibrium particle dynamics with unbounded number of interacting neighbors ⋮ Strong solutions of stochastic equations with singular time dependent drift ⋮ Analysis and geometry on configuration spaces: the Gibbsian case

Cites Work

• Random fields
• Absence of first-order phase transitions for antiferromagnetic systems
• Superstable interactions in classical statistical mechanics
• Time evolution of large classical systems
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