Robustness of the second law of thermodynamics under generalizations of the maximum entropy method
arXiv:0708.1616 · doi:10.1209/0295-5075/81/10004
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.
arXiv comment9 pages, no figures
References in corpus (6)
- A General Nonlinear Fokker-Planck Equation and its Associated Entropy
- Temperature of nonextensive system: Tsallis entropy as Clausius entropy
- Stabilities of generalized entropies
- Generalized entropy optimized by an arbitrary distribution
- On the robust thermodynamical structures against arbitrary entropy form and energy mean value
- An additive variant of Tsallis generalized entropy
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