On the van der Waals Gas, Contact Geometry and the Toda Chain

Entropy (Basel). 2018 Jul 26;20(8):554. doi: 10.3390/e20080554.

Authors

Diego Alarcón¹, P Fernández de Córdoba¹, J M Isidro¹, Carlos Orea¹

Affiliation

¹ Instituto Universitario de Matemática Pura y Aplicada, Universidad Politécnica de Valencia, 46022 Valencia, Spain.

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.

Keywords: Toda chain; contact geometry; van der Waals gas.