标题： 对“具有非Tsallis熵的q非扩展统计”的评论 显示英文标题

标题： Comments on "On q-non-extensive statistics with non-Tsallisian entropy"

摘要： 最近，在[ P. Jizba 和 J. Korbel, Physica A 444, 2016, 808-827 ]中，提出了四个广义香农-钦钦[GSK]公理，并推导出唯一满足GSK公理的广义熵。 在本评论中，我们表明前述论文中推导出的熵的独特类是不正确的，因为它违反了第四个GSK公理，并且我们推导出正确的结果。 然而，被评论论文中提出的熵类仍然可以作为广义统计力学的基础。 我们提出了一种新的公理系统，用于表征熵类。 显示英文摘要

摘要： Recently, in [P. Jizba and J. Korbel, Physica A 444, 2016, 808-827], four generalized Shannon-Khinchin [GSK] axioms have been proposed and a generalized entropy which uniquely satisfies the GSK axioms has been derived. In this comment, we show that the unique class of the entropies derived in the aforementioned paper is not correct, as it violates the fourth GSK axiom, and we derive the correct one. Nevertheless, the class of entropies proposed in the commented paper still can serve as a basis for generalized statistical mechanics. We propose a new axiomatic system which characterizes the class of entropies.