主题: The LargeDeviation Principle and Steady-state Fluctuation Theorem for the Entropy Production Rate ...
类型: 学术报告
主办方:
报告人: 徐礼虎(澳门大学)
日期: 2016年12月27日 16:00-17:00
地点: 知新楼B1238室
内容:

报告题目:The LargeDeviation Principle and Steady-state Fluctuation Theorem for the Entropy Production Rate of a Stochastic Process in Magnetic Fields

人:徐礼虎(澳门大学)

报告时间:20161227 下午16:00-17:00

报告地点:知新楼B1238 


报告摘要:Fluctuation theorem is one of the major achievements in the field ofnonequilibrium statistical mechanics during the past two decades. Steady-statefluctuation theorem of sample entropy production rate in terms of largedeviation principle for diffusion processes have not been rigorously proved yetdue to technical difficulties. Here we give a proof for the steady-statefluctuation theorem of a diffusion process in magnetic fields, with explicitexpressions of the free energy function and rate function for $\theta \in\left(-\frac{\pi}2, 0\right) \cup \left(0,\frac{\pi}2\right)$. The proof isbased on the Karhunen-Lo\`{e}ve expansion of complex-valued Ornstein-Uhlenbeckprocess.

 


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