标题： Born-Infeld BTZ 黑洞在引力中的指数修正热力学 显示英文标题

标题： Exponential corrected thermodynamics of Born-Infeld BTZ black holes in massive gravity

摘要： 已知黑洞的熵在量子层次上会得到修正。 普遍来说，这些修正具有对数和指数性质。 我们通过考虑这两种修正，分析这些量子修正对大质量引力中Born-Infeld BTZ黑洞热力学的影响。 我们对修正后的热力学与平衡值进行了比较分析。 在这里，我们发现指数修正导致了一阶相变的第一个临界点。 此外，量子修正对较大黑洞的亥姆霍兹自由能有显著影响。 我们研究了指数修正黑洞的状态方程，以获得一个一阶维里展开式。 显示英文摘要

摘要： It is known that entropy of black hole gets correction at quantum level. Universally, these corrections are logarithmic and exponential in nature. We analyze the impacts of these quantum corrections on thermodynamics of Born-Infeld BTZ black hole in massive gravity by considering both such kinds of correction. We do comparative analysis of corrected thermodynamics with their equilibrium values. Here, we find that the exponential correction yields to the second point of the first order phase transition. Also, quantum correction effects significantly on the Helmholtz free energy of larger black holes. We study the equation of state for the exponential corrected black hole to obtain a leading order virial expansion.