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

Release:2017-04-13 Viewed:18

School of mathematics science

Lecture



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



Lecturer : Lihu Xu Phd.Macau University




TimeApril 13 2017Thursday, 16:00-17:00

Place: 2nd Lecture room

Abstract: 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.

IntroductionLihu 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.


Welcome