Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2003-06-30
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.
Giaquinta Paolo V.
Prestipino Santi
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