Phase transitions in geometrothermodynamics

Details Phase transitions in geometrothermodynamics Phase transitions in geometrothermodynamics

2010-10-27

arxiv.org/abs/1010.5599v1

Gen.Rel.Grav.43:1153-1165,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1007/s10714-010-0996-2

Using the formalism of geometrothermodynamics, we investigate the geometric properties of the equilibrium manifold for diverse thermodynamic systems. Starting from Legendre invariant metrics of the phase manifold, we derive thermodynamic metrics for the equilibrium manifold whose curvature becomes singular at those points where phase transitions of first and second order occur. We conclude that the thermodynamic curvature of the equilibrium manifold, as defined in geometrothermodynamics, can be used as a measure of thermodynamic interaction in diverse systems with two and three thermodynamic degrees of freedom.

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