Symmetries and criticality of generalised van der Waals models

Abstract

We consider a family of thermodynamic models such that the energy density can be expressed as an asymptotic expansion in the scale formal parameter and whose terms are suitable functions of the volume density. We examine the possibility to construct solutions for the Maxwell thermodynamic relations relying on their symmetry properties and deduce the critical properties implied in terms of the the dynamics of coexistence curves in the space of thermodynamic variables.

arXiv comment10 pages, 6 plots

References in corpus (8)

• Singular sector of the Burgers-Hopf hierarchy and deformations of hyperelliptic curves
• Shock dynamics of phase diagrams
• Thermodynamic phase transitions and shock singularities
• Integrable extended van der Waals model
• An exact study of phase transitions in mean field Potts models
• Thermodynamic Limit and Dispersive Regularisation in Matrix Models
• Symmetric Matrix Ensemble and Integrable Hydrodynamic Chains
• A Mechanical Approach to One-Dimensional Interacting Gas