Deterministic Walks in Quenched Random Environments of Chaotic Maps
نویسندگان
چکیده
This paper concerns the propagation of particles through a quenched random medium. In the oneand 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.
منابع مشابه
Deterministic Walks in Quenched Random Environments of Chaotic Maps Tapio Simula and Mikko Stenlund
This paper concerns the propagation of particles through a quenched random medium. In the oneand 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 th...
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