On the flux distribution in a one dimensional disordered system

Cécile Monthus (1) , Alain Comtet

1 IPNO - Institut de Physique Nucléaire d'Orsay

We study some transport properties of a one dimensional disordered system of finite length N. In this system particles are subject to random forces resulting both from a thermal noise and from a quenched random force F(x) which models the inhomogeneous medium. The latter is distributed as a white noise with a non zero average bias. Imposing some fixed concentration of particles at the end points of the chain yields a steady current J(N) which depends on the environnent {F(x)}. The problem of computing the probabilility distribution P(J) over the environments is addressed. Our approchh is based on a path integral method and on a moment calculation. In the case of a non zero bias our results generalize those obtained recently by Oshanin et al.

Domaines: Articles anciens; Systèmes désordonnés et réseaux de neurones [cond-mat.dis-nn]

Cécile Monthus, Alain Comtet. On the flux distribution in a one dimensional disordered system. Journal de Physique I, 1994, 4 (5), pp.635-653. ⟨10.1051/jp1:1994167⟩. ⟨jpa-00246938⟩