Mathematics – Dynamical Systems
Scientific paper
2009-01-14
J. Phys. A: Math. Theor. 42 (2009) 245101 (14pp)
Mathematics
Dynamical Systems
18 pages, 9 figures
Scientific paper
10.1088/1751-8113/42/24/245101
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.
Simula Tapio
Stenlund Mikko
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