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

Abstract

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.

9 pages, no figures

References in corpus (2)

• A General Nonlinear Fokker-Planck Equation and its Associated Entropy
• An additive variant of Tsallis generalized entropy

Cited by in corpus (1)

• Entropies for complex systems: generalized-generalized entropies