12-110 Tapio Simula, Mikko Stenlund
Deterministic Walks in Quenched Random Environments of Chaotic Maps (7841K, pdf) Oct 4, 12
Abstract , Paper (src), View paper (auto. generated pdf), Index of related papers

Abstract. This paper concerns the propagation of particles through a quenched random medium. In the one- and two-dimensional models considered, the local dynamics is given by expanding circle maps and hyperbolic toral automorphisms, respectively. The particle motion in both models is chaotic and found to fluctuate about a linear drift. In the proper scaling limit, the cumulative distribution function of the fluctuations converges to a Gaussian one with system dependent variance while the density function shows no convergence to any function. We have verified our analytical results using extreme precision numerical computations.

Files: 12-110.src( 12-110.comments , 12-110.keywords , det_walk.pdf.mm )