Rare and typical events of the dissipated energy in driven diffusive systems

by Antonio Lasanta (University of Sevilla, Spain)

Friday 13 Dec 2013, 11:00 → 12:00 Europe/Rome

AulaCorbino (Dip. di Fisica - Edificio E. Fermi)

Recently the study of fluctuations of relevant observables in non-equilibrium stationary states have attracted a great interest and very interesting results have been found. We consider a general class of 1-dimensional systems with diffusion, dissipation and boundary driving. We study the fluctuations of the dissipated energy integrated in space and time. This integrated dissipation obeys a large deviation principle, whose large deviation function is calculated using the additivity principle and a suitable extension of macroscopic fluctuation theory to dissipative systems. We found simple scaling forms thereof in the limit of weak and strong dissipation. In addition, we obtain the optimal profiles, which the system adopts to sustain a given fluctuation, for the energy density and the current. A very good agreement is found between the theoretical predictions and the simulations.