Abstract—

The aim of this paper is to construct the thermodynamics of open quantum systems of elementary Bose-gas particles in the framework of nonextensive Tsallis statistics based on modified quantum entropy, which depends on the real deformation parameter \(q.\) We obtain generalized expressions for the thermodynamic potential, internal energy, free energy, specific heat, and pressure, as well as the basic thermodynamic equations. Modified equilibrium Bose–Einstein distributions for massive particles and generalized Planck, Rayleigh–Jeans, and Wien laws for photons that can be applied to various physical problems, in particular, to the description of cosmic blackbody radiation, are discussed. The initial basis for such a consideration of a photon gas is the assumption that the photon distribution of the cosmic background radiation (in thermal equilibrium) may differ from the classical Planck distribution due to the influence of long-range gravitational effects at large distances. This influence is probably a reflection of the fact that in remote time matter and light were strongly interconnected. The generalized thermodynamics of a photon gas can be used, in particular, as a theoretical justification for experimental studies of blackbody radiation inside various astrophysical objects.

中文翻译：

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广义Tsallis统计中玻色气体和黑体辐射的热力学

摘要—

本文旨在基于修正的量子熵，在修正的量子熵的基础上，在非扩展的Tsallis统计框架内构造基本玻色气体粒子的开放量子系统的热力学。我们获得了热力学势，内能，自由能，比热和压力以及基本热力学方程的广义表达式。讨论了修正的Bose-Einstein平衡对大颗粒的分布以及普朗克，Rayleigh-Jeans和Wien定律对光子的适用性，这些定律可以应用于各种物理问题，特别是用于描述宇宙黑体辐射。这种考虑光子气体的最初基础是这样的假设：由于远距离引力效应的影响，宇宙本底辐射（处于热平衡状态）的光子分布可能不同于经典的普朗克分布。这种影响可能反映了一个事实，即在遥远的时间里，物质和光是紧密相连的。