Curvature as a Measure of the Thermodynamic Interaction

Details Curvature as a Measure of the Thermodynamic Interaction Curvature as a Measure of the Thermodynamic Interaction

2010-10-31

arxiv.org/abs/1011.0122v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

We present a systematic and consistent construction of geometrothermodynamics by using Riemannian contact geometry for the phase manifold and harmonic maps for the equilibrium manifold. We present several metrics for the phase manifold that are invariant with respect to Legendre transformations and induce thermodynamic metrics on the equilibrium manifold. We review all the known examples in which the curvature of the thermodynamic metrics can be used as a measure of the thermodynamic interaction.

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