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