Da Browski Mariusz P
Institute of Physics, University of Szczecin, Wielkopolska 15, 70-451 Szczecin, Poland.
National Centre for Nuclear Research, Andrzeja Sołtana 7, 05-400 Otwock, Poland.
Entropy (Basel). 2024 Sep 25;26(10):814. doi: 10.3390/e26100814.
We present a comparative analysis of the plethora of nonextensive and/or nonadditive entropies which go beyond the standard Boltzmann-Gibbs formulation. After defining the basic notions of additivity, extensivity, and composability, we discuss the properties of these entropies and their mutual relations, if they exist. The results are presented in two informative tables that are of strong interest to the gravity and cosmology community in the context of the recently intensively explored horizon entropies for black hole and cosmological models. Gravitational systems admit long-range interactions, which usually lead to a break of the standard additivity rule for thermodynamic systems composed of subsystems in Boltzmann-Gibbs thermodynamics. The features of additivity, extensivity, and composability are listed systematically. A brief discussion on the validity of the notion of equilibrium temperature for nonextensive systems is also presented.
我们对大量超越标准玻尔兹曼 - 吉布斯公式的非广延和/或非可加熵进行了比较分析。在定义了可加性、广延性和可组合性的基本概念之后，我们讨论了这些熵的性质及其相互关系（如果存在的话）。结果以两个信息丰富的表格呈现，对于黑洞和宇宙学模型中最近被深入探索的视界熵而言，这些表格对引力和宇宙学界极具吸引力。引力系统允许长程相互作用，这通常会导致玻尔兹曼 - 吉布斯热力学中由子系统组成的热力学系统的标准可加性规则失效。我们系统地列出了可加性、广延性和可组合性的特征。还对非广延系统平衡温度概念的有效性进行了简要讨论。
