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Einstein's fluctuation relation and Gibbs states far from equilibrium

Alexandre Lazarescu (Université Catholique de Louvain)
When Jan 28, 2021
from 02:00 to 03:00
Where Visioconférence
Attendees Alexandre Lazarescu
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Jeudi 28 Janvier

 

Title:  Einstein's fluctuation relation and Gibbs states far from equilibrium

Alexandre Lazarescu (Université Catholique de Louvain)

 

Abstract: 

I will present a class of one-dimensional nonequilibrium interacting particle models characterised by a so-called "gradient condition" which generalises detailed balance and guarantees the existence of Gibbs-type local homogeneous stationary states.
I will show how, defining appropriate boundary conditions, this leads to a special symmetry of the models under time and space reversal which, rephrased in terms of the large deviations function of stationary currents of conserved quantities, yields a novel fluctuation relation under reservoir exchange, unrelated to the standard Gallavotti-Cohen symmetry.
I will then show that this relation can be interpreted as a nonequilibrium and nonlinear generalisation Einstein's relation, which points to the existence of a Langevin-type hydrodynamic equation for the macroscopic behaviour of those models.