Abstract
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 randomδ-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 lengthN, strength of the force, and temperature. We prove that within the limitN≫1 the average flux decreases withN as 〈J(N)〉=C/√N and thus confirm our recent predictions that the flux in the discrete-space Sinai model is anomalous.
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Oshanin, G., Mogutov, A. & Moreau, M. Steady flux in a continuous-space Sinai chain. J Stat Phys 73, 379–388 (1993). https://doi.org/10.1007/BF01052766
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DOI: https://doi.org/10.1007/BF01052766