报告题目: The Large Deviation Principle and Steady-state Fluctuation Theoremfor the Entropy Production Rate of a Stochastic Process in Magnetic Fields

报告 人：徐礼虎（澳门大学）

时间：2016年12月27日下午 16:00-17:00

地点：山东大学中心校区知新楼 B1238

报告摘要: Fluctuation theorem is one of the major achievements in the fieldof nonequilibrium statistical mechanics during the past two decades.Steady-state fluctuation theorem of sample entropy production rate in terms oflarge deviation principle for diffusion processes have not been rigorouslyproved yet due to technical difficulties. Here we give a proof for thesteady-state fluctuation theorem of a diffusion process in magnetic fields,with explicit expressions of the free energy function and rate function for$\theta \in \left(-\frac{\pi}2, 0\right) \cup \left(0,\frac{\pi}2\right)$. Theproof is based on the Karhunen-Lo\`{e}ve expansion of complex-valuedOrnstein-Uhlenbeck process.

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