The Large Deviation Principle and Steady-state Fluctuation Theorem for the Entropy Production Rate of a Stochastic Process in Magnetic Fields

报告人:徐礼虎   澳门大学

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

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

地点:山东大学中心校区知新楼 B1238

时间:2016年12月27日下午 16:00-17:00