The concavity of entropy and extremum principles in thermodynamics

Details The concavity of entropy and extremum principles in thermodynamics The concavity of entropy and extremum principles in thermodynamics

2003-06-30

arxiv.org/abs/cond-mat/0306728v1

Journal of Statistical Physics 111, 479-493 (2003)

Physics

Condensed Matter

Statistical Mechanics

19 pages, 1 figure

Scientific paper

10.1023/A:1022233814184

We revisit the concavity property of the thermodynamic entropy in order to formulate a general proof of the minimum energy principle as well as of other equivalent extremum principles that are valid for thermodynamic potentials and corresponding Massieu functions under different constraints. The current derivation aims at providing a coherent formal framework for such principles which may be also pedagogically useful as it fully exploits and highlights the equivalence between different schemes. We also elucidate the consequences of the extremum principles for the general shape of thermodynamic potentials in relation to first-order phase transitions.

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