Robustness of the second law of thermodynamics under generalizations of the maximum entropy method

2); (2) Institut Superieur des Materiaux et Mecaniques Avances; (3) Medical University of Vienna; 4) ((1) Mie University; (4) Santa Fe Inst; Austria; France; Japan; Le Mans; Stefan Thurner (3

arxiv: 0708.1616 · v1 · submitted 2007-08-12 · ❄️ cond-mat.stat-mech

Robustness of the second law of thermodynamics under generalizations of the maximum entropy method

Sumiyoshi Abe (1 , 2) , Stefan Thurner (3 , 4) ((1) Mie University , Japan , (2) Institut Superieur des Materiaux et Mecaniques Avances , Le Mans , France

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(3) Medical University of Vienna Austria (4) Santa Fe Inst USA)

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classification ❄️ cond-mat.stat-mech

keywords entropythermodynamicsgeneralizationsmaximummethodunderalwaysbregman-type

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It is shown that the laws of thermodynamics are extremely robust under generalizations of the form of entropy. Using the Bregman-type relative entropy, the Clausius inequality is proved to be always valid. This implies that thermodynamics is highly universal and does not rule out consistent generalization of the maximum entropy method.

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Robustness of the second law of thermodynamics under generalizations of the maximum entropy method

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