Universal cumulants of the current in diffusive systems on a ringReport as inadecuate




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1 LPT - Laboratoire de Physique Théorique d-Orsay Orsay 2 LPS - Laboratoire de Physique Statistique de l-ENS 3 MSC - Matière et Systèmes Complexes

Abstract : We calculate exactly the first cumulants of the integrated current and of the activity which is the total number of changes of configurations of the symmetric simple exclusion process SSEP on a ring with periodic boundary conditions. Our results indicate that for large system sizes the large deviation functions of the current and of the activity take a universal scaling form, with the same scaling function for both quantities. This scaling function can be understood either by an analysis of Bethe ansatz equations or in terms of a theory based on fluctuating hydrodynamics or on the macroscopic fluctuation theory of Bertini, De Sole, Gabrielli, Jona-Lasinio and Landim.





Author: Cécile Appert-Rolland - Bernard Derrida - Vivien Lecomte - Frédéric Van Wijland -

Source: https://hal.archives-ouvertes.fr/



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