In this work, we study the thermodynamic properties of a photon gas in a heat bath within the context of higher-derivative electrodynamics. Specifically, we analyze Podolsky’s theory and its extension involving the Lorentz symmetry violation recently proposed in the literature. First, we use the concept of the number of available states of the system in order to construct the partition function. Next, we calculate the main thermodynamic functions: Helmholtz free energy, mean energy, entropy, and heat capacity. In particular, we verify that there exist significant changes in heat capacity and mean energy due to Lorentz violation. Additionally, the modification of the black body radiation and the correction to the Stefan–Boltzmann law in the context of the primordial inflationary universe are provided for both theories as well.

在这项工作中，我们研究了在高导数电动力学范围内热浴中光子气体的热力学性质。具体而言，我们分析了最近在文献中提出的涉及洛伦兹对称性违背的波多尔斯基的理论及其扩展。首先，我们使用系统可用状态数的概念来构造分区函数。接下来，我们计算主要的热力学函数：亥姆霍兹自由能，平均能，熵和热容。特别是，我们验证了由于违反洛伦兹而导致的热容和平均能量存在显着变化。此外，黑体辐射的修改以及对Stefan-Boltzmann的校正 两种理论都提供了原始通货膨胀宇宙背景下的法律。