# Einstein's fluctuation relation and Gibbs states far from equilibrium

#### Einstein's fluctuation relation and Gibbs states far from equilibrium

- Event time: 3:00pm until 4:00pm
- Event date: 28th September 2021
- Speaker: Alexandre Lazarescu (UCLouvain)
- Location: Zoom - see email invite.

### Event details

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, independent from the standard Gallavotti-Cohen symmetry. I will then show that this relation can be interpreted as a nonequilibrium and nonlinear generalisation of Einstein's relation, which points to the existence of a Langevin-type hydrodynamic equation for the macroscopic behaviour of those models.

#### Event resources

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