Large deviations in the van der Waals limit

DOI10.1016/S0304-4149(98)00002-7zbMath0927.60080MaRDI QIDQ1805761

O. Benois, Thierry Bodineau, Errico Presutti

Publication date: 18 November 1999

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

zbMATH Keywords

interfacessurface tensionlarge deviationsKac potentials

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (7)

Droplet minimizers for the Cahn-Hilliard free energy functional ⋮ Variational problems with percolation: dilute spin systems at zero temperature ⋮ Lattice gas models with long range interactions ⋮ Ground state at high density ⋮ Rigorous probabilistic analysis of equilibrium crystal shapes ⋮ Rigorous probabilistic analysis of equilibrium crystal shapes ⋮ Periodic minimizers in 1D local mean field theory

Cites Work

• The low-temperature phase of Kac-Ising models
• Large deviations for the 2D Ising model: A lower bound without cluster expansions
• An introduction to \(\Gamma\)-convergence
• Phase diagram of Ising systems with additional long range forces
• Surface tension in Ising systems with Kac potentials.
• Constrained minima of nonlocal free energy functionals.
• Exact large deviation bounds up to \(T_ c\) for the Ising model in two dimensions
• A non-local anisotropic model for phase transitions: asymptotic behaviour of rescaled energies
• On the van der Waals Theory of the Vapor-Liquid Equilibrium. I. Discussion of a One-Dimensional Model
• Rigorous Treatment of the Van Der Waals-Maxwell Theory of the Liquid-Vapor Transition
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