Universal cumulants of the current in diffusive systems on a ring.
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 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.
Laboratoire de Physique Théorique (CNRS UMR 8627), Université Paris-Sud 11, Bâtiment 210, 91405 Orsay cedex, France.
C
C
Appert-Rolland
B
B
Derrida
V
V
Lecomte
F
F
van Wijland