STEADY FLUX IN A CONTINUOUS-SPACE SINAI CHAIN

We examine the steady-state flux of particles diffusing in a one-dimensional finite chain with Sinai-type disorder, i.e., the system in which in addition to the thermal noise, particles are subject to a stationary random delta-correlated in space Gaussian force. For this model we calculate the disorder average (over configurations of the random force) flux exactly for arbitrary values of system's parameters, such as chain length N, strength of the force, and temperature. We prove that within the limit N much greater than 1 the average flux decreases with N as [J(N)] = C/square-root N and thus confirm our recent predictions that the flux in the discrete-space Sinai model is anomalous.