Bernard Derrida (Collège de France): Large deviation functions of the density and of the current for diffusive systems

Thursday 25 Feb 2021, 03:00 → 04:00 Europe/Rome

GSSI

Abstract. After a short review of the different approaches used to determine the large deviation functions of diffusive systems in their steady state, the talk will present a few recent results:

1. How these large deviations functions are modified for weak contacts with the boundaries

2. What is the influence of conditioning on the current on these large deviation functions

Derrida, Hirschberg, Sadhu, (2021). Large deviations in the symmetric simple exclusion process with slow boundaries. Journal of Statistical Physics, 182, 1-13.

Derrida, Sadhu, (2019). Large deviations conditioned on large deviations I: Markov chain and Langevin equation. Journal of Statistical Physics, 176, 773-805.

Derrida, Sadhu, (2019). Large deviations conditioned on large deviations II: fluctuating hydrodynamics. Journal of Statistical Physics, 177, 151-182.