Casas G A, Nobre F D, Curado E M F
Centro Brasileiro de Pesquisas Físicas and National Institute of Science and Technology for Complex Systems, Rua Xavier Sigaud 150, 22290-180 Rio de Janeiro-RJ, Brazil.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Jan;89(1):012114. doi: 10.1103/PhysRevE.89.012114. Epub 2014 Jan 13.
The time rate of generalized entropic forms, defined in terms of discrete probabilities following a master equation, is investigated. Both contributions, namely entropy production and flux, are obtained, extending works carried previously for the Boltzmann-Gibbs entropy to a wide class of entropic forms. Particularly, it is shown that the entropy-production contribution is always non-negative for such entropies. Some illustrative examples for known generalized entropic forms in the literature are also worked out. Since generalized entropies have been lately associated with several complex systems in nature, the present analysis should be applicable to irreversible processes in these systems.
研究了根据遵循主方程的离散概率定义的广义熵形式的时间率。得到了熵产生和通量这两种贡献，将先前针对玻尔兹曼 - 吉布斯熵所做的工作扩展到了广泛的熵形式类别。特别地，表明对于此类熵，熵产生贡献始终是非负的。还给出了文献中已知广义熵形式的一些示例。由于广义熵最近已与自然界中的几个复杂系统相关联，目前的分析应适用于这些系统中的不可逆过程。
