Alessandro Bravetti, Francisco Nettel
In this work we relate the curvature of distinct thermodynamic geometries to the response functions of any thermodynamic system with two degrees of freedom. In this manner it is straightforward to identify which geometry describes more accu- rately second order phase transitions. According to our results, Quevedo's metric g II in general behaves better than Weinhold and Ruppeiner's, although in principle ambiguities might appear. It is possible to analyze the problem of describing second order phase transitions through the scalar curvature from a different perspective. For this, we propose a general criterion starting from a particular form of the curvature scalar.
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http://arxiv.org/abs/1208.0399
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