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SUMMARY:Testing nonequilibrium currents - Hugo Touchette (Department of Ma
 thematical Sciences Stellenbosch University\, South Africa)
DTSTART:20240514T120000Z
DTEND:20240514T130000Z
UID:TALK212557@talks.cam.ac.uk
CONTACT:Sarah Loos
DESCRIPTION:Determining whether a system is in an equilibrium or nonequili
 brium state from simulations or experiments is a fundamental problem in st
 atistical physics. In this talk I will discuss how this problem is normall
 y approached by measuring the probability current in space and how it can 
 be made more precise by defining statistical tests involving projections o
 f the current. I will illustrate this point by considering a specific line
 ar projection of the current for diffusion systems\, related to the stocha
 stic area\, first studied by Paul Lévy in the 1940s for Brownian motion. 
 This area is a good observable for testing the nonequilibrium or nonrevers
 ible nature of diffusions as it is a scalar and its statistics can be stud
 ied in a precise way using large deviation theory.
LOCATION:Center for Mathematical Sciences\, Lecture room MR4
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