In this study, the thermodynamic properties of an arbitrary shape medium in the presence of an electromagnetic field were investigated. We used the path integral method and Matsubara formalism to calculate the system’s free energy by considering the susceptibility function of the medium. Using the variation of the free energy at finite temperature and the first law of thermodynamics, thermodynamic quantities like quantum work of the electromagnetic field on the medium and heat were obtained.

中文翻译：

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电磁场在微观介质热力学中的作用

在这项研究中，研究了电磁场存在下任意形状介质的热力学性质。考虑介质的磁化率函数，我们采用路径积分法和松原形式主义来计算系统的自由能。利用有限温度下自由能的变化和热力学第一定律，得到了电磁场对介质的量子功和热量等热力学量。