Lecture on Large Deviation Principle and Steady-state Fluctuation Theorem for the Entropy Production Rate of a Stochastic Process in Magnetic Fields
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Lecture on Large Deviation Principle and Steady-state Fluctuation Theorem for the Entropy Production Rate of a Stochastic Process in Magnetic Fields
DateandTime: 2016-12-23 21:27:32

Speaker: Xu Lihu, University of Macau  

Date: December 27, 2016

Time: 4:00 pm - 5:00 pm

Location: Room B1238, Zhixin Building, Central Campus

Sponsor: the School of Mathematics

 

Abstract:

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 $ heta in left(-frac{pi}2, 0 ight) cup left(0,frac{pi}2 ight)$. The proof is based on the Karhunen-Lo`{e}ve expansion of complex-valued Ornstein-Uhlenbeck process.

 

For more information, please visit:

http://www.maths.sdu.edu.cn/the-large-deviation-principle-and-steady-state-fluctuation-theorem-for-the-entropy-production-rate-of-a-stochastic-process-in-magnetic-fields.html

 

Edited by: Liu Huan & Lang Cuicui





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