Abstract

It is demonstrated that the general theory of Casimir and van der Waals forces describes the interaction-induced equilibrium thermodynamic potentials of the damped harmonic oscillator bilinearly coupled to the environment. An extended model for a damped oscillator is suggested along the lines of the general theory of Casimir and van der Waals forces, and the corresponding thermodynamic quantities obtained. While the original model involves a heat bath consisting of a large number of free oscillators having infinitesimal damping functions, the extended model allows any generally admissible frequency and temperature dependent dissipative susceptibilities of the heat bath constituents, influenced by the additional dissipative environmental channels that are not directly linked to the system oscillator. Consequently, the results obtained are applicable to the frequency and temperature dependent damping function of the system oscillator.

中文翻译：

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卡西米尔和范德瓦尔斯力一般理论中的阻尼振荡器

摘要

证明了卡西米尔和范德华力的一般理论描述了双线性耦合到环境的阻尼谐振子的相互作用引起的平衡热力学势。沿着卡西米尔力和范德华力的一般理论的路线提出了阻尼振荡器的扩展模型，并获得了相应的热力学量。虽然原始模型涉及由大量具有无穷小阻尼函数的自由振荡器组成的热浴，但扩展模型允许热浴成分的任何通常可允许的频率和温度相关的耗散敏感性，受附加耗散环境通道的影响直接连接到系统振荡器。最后，