Symplectic structure of equilibrium thermodynamics

Abstract

The contact geometric structure of the thermodynamic phase space is used to introduce a novel symplectic structure on the tangent bundle of the equilibrium space. Moreover, it turns out that the equilibrium space can be interpreted as a Lagrange submanifold of the corresponding tangent bundle, if the fundamental equation is known explicitly. As a consequence, Hamiltonians can be defined that describe thermodynamic processes.

New sections, comments and references added. Final version to appear in IJGMMP

References in corpus (2)

• Geometrothermodynamics
• Infinitesimal Legendre symmetry in the Geometrothermodynamics programme

Cited by in corpus (3)

• Neural Network Representations of Multiphase Equations of State
• Black hole thermodynamic free energy as $A$-discriminants
• Scaling Symmetry in Symplectic Thermodynamics