On the van der Waals gas, contact geometry and the Toda chain

Abstract

A Toda chain symmetry is shown to underlie the van der Waals gas and its close cousin, the ideal gas. Links to contact geometry are explored.

arXiv comment5 pages

References in corpus (3)

• A Hamilton-Jacobi Formalism for Thermodynamics
• Quantization of Contact Manifolds and Thermodynamics
• Curvature of fluctuation geometry and its implications on Riemannian fluctuation theory

Cited by in corpus (1)

• Canonical quantization for Equilibrium Thermodynamics