Free energy minimizers for a two-species model with segregation and liquid vapour transition

2002/09/26 by Eric A. Carlen, E. A. Carlen, Maria C. Carvalho +5 · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Energy (signal processing) #Geometry #Limit (mathematics) #Material Dynamics and Properties #Materials science #Mathematical analysis #Mathematics #Physics #Range (aeronautics) #Scaling #Scaling limit #Statistical physics #Statistics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Thermodynamic limit #cond-mat.stat-mech

paper · pdf · doi:10.1088/0951-7715/16/3/316

32 pages, 1 fig, plain tex, typeset twice

arxiv created 2002/09/26 · openalex publication_date 2003/04/11 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study the coexistence of phases in a two-species model whose free energy is given by the scaling limit of a system with long range interactions (Kac potentials) that are attractive between particles of the same species and repulsive between different species.

Citations

• Liquid–Vapor Phase Transitions for Systems with Finite-Range Interactions
• On the van der Waals Theory of the Vapor-Liquid Equilibrium. I. Discussion of a One-Dimensional Model
• Spherical rearrangements, subharmonic functions, and ∗-functions in n-space

Cited by

• The McKean–Vlasov Equation in Finite Volume