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