非等温涨落-耗散关系与布朗测温法
Non-Isothermal Fluctuation-Dissipation Relations and Brownian Thermometry
摘要:
布朗运动的经典理论基于统计力学的基本定律,如均分定理和涨落耗散定理,这些定律在非等温情况下不适用。我们导出了控制这种非等温布朗运动的广义涨落耗散关系和朗之万方程,包括与频率有关的噪声温度和远离平衡的布朗测温的显式结果.
英文摘要:
The classical theory of Brownian motion rests on fundamental laws of statistical mechanics, such as the equipartition theorem and the fluctuation-dissipation theorem, which are not applicable in non-isothermal situations. We derive the generalized fluctuation-dissipation relations and Langevin equations governing such non-isothermal Brownian motion, including explicit results for the frequency-dependent noise temperature and Brownian thermometry far from equilibrium.
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