理想气体热力学的非对易修正

Statistical thermodynamics for a non-commutative special relativity: Emergence of a generalized quantum dynamics

There ought to exist a description of quantum field theory which does not depend on an external classical time. To achieve this goal, in a recent paper we have proposed a non-commutative special relativity in which space-time and matter degrees of freedom are treated as classical matrices with arbitrary commutation relations, and a space-time line element is defined using a trace. In the present paper, following the theory of Trace Dynamics, we construct a statistical thermodynamics for the non-commutative special relativity, and show that one arrives at a generalized quantum dynamics in which…

Thermodynamics and evaporation of a modified Schwarzschild black hole in a non--commutative gauge theory

In this work, we study the thermodynamic properties on a non--commutative background via gravitational gauge field potentials. This procedure is accomplished after contracting de Sitter (dS) group, $\mathrm{SO}(4,1)$, with the Poincarè group, $\mathrm{ISO}(3,1)$. Particularly, we focus on a static spherically symmetric black hole. In this manner, we calculate the modified Hawking temperature and the other deformed thermal state quantities, namely, entropy, heat capacity, Helmholtz free energy and pressure. Finally, we also investigate the black hole evaporation process in such a context.

非对易规范理论中施瓦西黑洞热力学与蒸发的一种新的非对易修正

A new non-commutative correction to the thermodynamics and evaporation of the Schwarzschild black hole in non-commutative gauge theory

研究通过塞伯格 - 维滕映射对四元场非对易修正产生的变形施瓦西黑洞热力学性质，推导修正视界半径评估相关热力学量，研究蒸发过程，发现热容量有三个阶段，黑洞有有限寿命且引入基本长度尺度。

非交换几何与Schwarzschild-AdS黑洞的热力学

Non-commutative geometry and thermodynamics of the Schwarzschild-AdS black hole

研究非交换几何框架下Schwarzschild-AdS黑洞的热力学性质，揭示非交换参数Θ对热力学函数的影响及相变行为，发现其热力学行为类似van der Waals流体。

非对易几何中Schwarzschild-AdS黑洞的热力学

Thermodynamics of Schwarzschild-AdS black hole in non-commutative geometry

本文在非对易几何框架下研究Schwarzschild-AdS黑洞的热力学，发现传统第一定律被违反、出现零阶相变及小黑洞-大黑洞相变，并分析了Joule-Thomson膨胀的最小反转温度和最小反转质量。

有效非对易克尔类黑洞的约束热力学与测地可观测量

Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole

该研究分析非对易背景下有效克尔类黑洞的视界、热力学及测地性质，推导热容量，发现变形使光子轨道内移、阴影缩小，修正类时圆轨道，得到不变光子频移。

非对易引力规范理论中史瓦西黑洞的热力学性质

Thermodynamic Properties of Schwarzschild Black Hole in Non-Commutative Gauge Theory of Gravity

该研究利用非对易引力规范理论分析形变史瓦西黑洞的热力学性质，发现非对易性消除温度发散、带来普朗克尺度新基本长度与蒸发剩余熵，且非对易参数可类比热力学变量，该黑洞存在二级相变。

Reissner-Nordström Black Hole Thermodynamics in Noncommutative Spaces

This paper considers the effects of space noncommutativity on the thermodynamics of a Reissner-Nordström black hole. In the first step, we extend the ordinary formalism of Bekenstein-Hawking to the case of charged black holes in commutative space. In the second step we investigate the effects of space noncommutativity and the generalized uncertainty principle on the thermodynamics of charged black holes. Finally we compare thermodynamics of charged black holes in commutative space with thermodynamics of Schwarzschild black hole in noncommutative space. In this comparison we explore some concep…

Thermodynamics of a Bardeen black hole in noncommutative space

In this paper, we examine the effects of space noncommutativity on the thermodynamics of a Bardeen charged regular black hole. For a suitable choice of sets of parameters, the behavior of the singularity, horizon, mass function, black hole mass, temperature, entropy and its differential, area and energy distribution of the Bardeen solution have been discussed graphically for both noncommutative and commutative spaces. Graphs show that the commutative coordinates extrapolate all such quantities (except temperature) for a given set of parameters. It is interesting to mention here that these sets…

非对易黑洞：拓扑体态-边界对应与二元合并界限

Noncommutative black holes: Topological bulk-boundary correspondence and Binary Merger Bounds

研究非对易时空中带电反德西特黑洞的热力学拓扑，采用非对易参数微扰展开结合数值分析，利用广义离壳自由能框架，揭示非对易效应影响，证明体态与边界拓扑对应，还研究了残余质量下限及相关热力学量变化。

Thermodynamics of Ideal Gas in Doubly Special Relativity

We study thermodynamics of an ideal gas in Doubly Special Relativity. New type of special functions (which we call Incomplete Modified Bessel functions) emerge. We obtain a series solution for the partition function and derive thermodynamic quantities. We observe that DSR thermodynamics is non-perturbative in the SR and massless limits. A stiffer equation of state is found.