Current distribution in systems with anomalous diffusion: renormalisation group approach

Vivien Lecomte (1, 2) , Uwe C. Täuber (3, 1) , Frédéric van Wijland (1, 2)

1 LPT - Laboratoire de Physique Théorique d'Orsay [Orsay]
2 MSC - Matière et Systèmes Complexes
3 Virginia Polytechnic Institute and State University [Blacksburg]

We investigate the asymptotic properties of the large deviation function of the integrated particle current in systems, in or out of thermal equilibrium, whose dynamics exhibits anomalous diffusion. The physical systems covered by our study include mutually repelling particles with a drift, a driven lattice gas displaying a continuous nonequilibrium phase transition and particles diffusing in an anisotropic random advective field. It is exemplified how renormalization group techniques allow for a systematic determination of power laws in the corresponding current large deviation functions. We show that the latter are governed by known universal scaling exponents, specifically the anomalous dimension of the noise correlators.

Domaines: Biomécanique [physics.med-ph]; Biomécanique [physics.med-ph]

Vivien Lecomte, Uwe C. Täuber, Frédéric van Wijland. Current distribution in systems with anomalous diffusion: renormalisation group approach. Journal of Physics A: Mathematical and Theoretical, 2007, 40 (7), pp.1447. ⟨10.1088/1751-8113/40/7/003⟩. ⟨hal-00128682⟩