Geometrothermodynamics
By Hernando Quevedo. 2006
172 citations recorded by the source corpus.
We present the fundamentals of geometrothermodynamics, an approach to study the properties of thermodynamic systems in terms of differential geometric concepts. It is based, on the one hand, upon the well-known contact structure of the thermodynamic phase space and, on the other hand, on the metric structure of the space of thermodynamic equilibrium states. In order to make these two structures compatible we introduce a Legendre invariant set of metrics in the phase space, and demand that their pullback generates metrics on the space of equilibrium states. We show that Weinhold's metric, which was introduced {\it ad hoc}, is not contained within this invariant set. We propose alternative metrics which allow us to redefine the concept of thermodynamic length in an invariant manner and to study phase transitions in terms of curvature singularities.
Subfields: Applied Mathematics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/3c366929e390d84aafd66f5d444054d3d3a80903
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In Applied Mathematics
In Statistical and Nonlinear Physics
Citations in the corpus
- Geometrothermodynamics of black holes (2007, methodology): “As shown in [21], a Legendre invariant metric G induces a Legendre invariant metric g.”