Suppression and Enhancement of Diffusion in Disordered Dynamical Systems

Abstract

The impact of quenched disorder on deterministic diffusion in chaotic dynamical systems is studied. As a simple example, we consider piecewise linear maps on the line. In computer simulations we find a complicated scenario of multiple suppression and enhancement of normal diffusion under variation of the perturbation strength. These results are explained by a theoretical argument showing that the oscillations emerge as a direct consequence of the unperturbed diffusion coefficient, which is known to be a fractal function of a control parameter.

4 pages (revtex) with 3 figures (postscript)

References in corpus (2)

• Quenched Disorder Effects on Deterministic Inertia Ratchets
• Transitions from deterministic to stochastic diffusion

Cited by in corpus (3)

• The origin of diffusion: the case of non chaotic systems
• Uniformly expanding Markov maps of the real line: exactness and infinite mixing
• Transition to anomalous dynamics in a simple random map