Department of Physics and Astronomy, University of La Serena, La Serena, Chile.
Phys Rev E. 2019 Feb;99(2-1):022123. doi: 10.1103/PhysRevE.99.022123.
Aspects related to driven nonequilibrium systems considered in Beck-Cohen superstatistics (BCS) formalism and, in addition, the unbiased maximum entropy density estimation, show the pertinence of considering the three-parameter Burr-type-XII distribution as a suitable way to describe stationary states of complex and nonequilibrium systems. The above is shown following a variant to the procedure presented in the formulation of BCS, which consists of the incorporation of an expanded Boltzmann factor through the Mittag-Leffler function. On the other hand, maximization of Shannon-Boltzmann-Gibbs entropy and other generalized forms of entropy show that the Burr-type-XII distribution may emerge as the least informative distribution for the mentioned systems.
在贝克-科恩超统计（BCS）形式中考虑的与驱动非平衡系统相关的方面，以及无偏最大熵密度估计，表明考虑三参数 Burr 型 XII 分布作为描述复杂和非平衡系统稳定状态的合适方法是有意义的。这是通过 Mittag-Leffler 函数对 BCS 公式中提出的方法进行的变体来证明的，该变体包括扩展的 Boltzmann 因子的引入。另一方面，Shannon-Boltzmann-Gibbs 熵和其他广义熵形式的最大化表明，Burr 型 XII 分布可能成为上述系统的信息量最小的分布。
