We investigate the thermodynamics of the Einstein-non linear-Maxwell-Yukawa black hole solution in de Sitter spacetime. After presenting the black hole solution and its horizons, we use different thermodynamical points of view to probe the phase structure of such a black hole, ranging from local, global thermodynamics to effective thermodynamical formalism with two horizons. Our analysis showed that the black hole can undergo a thermal phase transition between an unstable phase and stable phase. These results are consolidated by our proposal of generalizing effective thermodynamics to three horizons. As a remarkable byproduct, we find that the effective temperatures behave as an association of ohmic resistances in an electric circuit, which may reveal a possible analogy between the electric and thermodynamic systems.

我们研究了de Sitter时空中爱因斯坦-非线性-麦克斯韦-汤川黑洞解的热力学。在介绍了黑洞解决方案及其视界之后，我们使用不同的热力学观点来探究这种黑洞的相结构，从局部，全局热力学到具有两个视界的有效热力学形式主义。我们的分析表明，黑洞可以在不稳定相和稳定相之间经历热相变。这些结果通过我们将有效热力学推广到三个视野的建议得到了巩固。作为一个杰出的副产品，我们发现有效温度表现为电路中欧姆电阻的关联，这可能揭示出电气系统和热力学系统之间的可能类比。