论文标题
Casimir和Van der Waals力量的一般理论中的阻尼振荡器
Damped oscillators within the general theory of Casimir and van der Waals forces
论文作者
论文摘要
证明Casimir和Van der Waals力的一般理论描述了阻尼的谐波振荡器双线性与环境的相互作用诱导的平衡热力学潜力。建议沿Casimir和van der waals力的一般理论以及获得的相应热力学量的一般理论的线条,提出了阻尼振荡器的扩展模型。虽然原始模型涉及一个由具有无穷小型阻尼功能的大量自由振荡器组成的热浴,但扩展模型允许热浴成分的任何普遍可允许的频率和依赖于温度依赖的耗散性易感性,受到与系统振荡器未直接链接的其他耗散环境通道的影响。因此,获得的结果适用于系统振荡器的频率和温度依赖性阻尼功能。
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.