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

2017-04-13



学术报告



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 博士 (澳门大学)



时间:2017413日(星期四), 16:00-17:00


地点: 数学院第二报告厅


摘要: Fluctuation theorem is one of the major achievements in the field of nonequilibrium statistical mechanics during the past two decades. There exist very few results for steady-state fluctuation theorem of sample entropy production rate in terms of large deviation principle for diffusion processes 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. The proof is based on the Karhunen-Loeve expansion of complex-valued Ornstein-Uhlenbeck process.


报告人简介:Lihu XuUniversity of Macau

  • PhD in Mathematics, Imperial College London, UK (2008)

  • Master in Mathematics, Peking University, Beijing (2004)

  • Bachelor in Mathematics, Shandong University, Jinan (2001)

  • 01/2014-present    Assistant Professor,   University of Macau, Macau.

  • 09/2013-12/2013   Research Faculty,   Boston College, Boston, US.

  • 09/2011-09/2013   Lecturer,   Brunel University, London, UK.

  • 10/2010-09/2011   Postdoc,   TU Berlin, Berlin, Germany.

  • 09/2010-10/2010   Academic Visitor,   Hausdorff Center for Mathematics, Bonn, Germany.

  • 10/2008-08/2010   Postdoc,   EURANDOM, Eindhoven, the Netherlands.

  • 09/2007-08/2008   Postdoc,   Hausdorff Center for Mathematics, Bonn, Germany.


欢 迎 参 加!


南开大学 | 陈省身数学研究所 | 组合数学研究中心| 统计研究院
版权所有 南开大学数学科学学院 | 地址:天津市卫津路94号 | 邮编:300071| 电话:022-23504717