In:
International Journal of Modern Physics B, World Scientific Pub Co Pte Ltd, Vol. 13, No. 01 ( 1999-01-10), p. 83-95
Abstract:
That both normal and anomalous chaotic diffusions are suppressed by the presence of quenched disorder for a large class of maps was established by G. Radons. 1 In this paper, we consider simple maps (which exhibit normal diffusion) modified by discrete disorder. By decomposing the mean square displacement (MSD) σ 2 (t) of the system into three terms, namely, [Formula: see text], we find that the MSD of the random walk which corresponds to disorder, [Formula: see text] , enhances that of the original unmodified map, [Formula: see text] and that the term 2σ 01 (t), which describes the correlation between the diffusion fronts of the previous two diffusive processes, just essentially cancels the sum of [Formula: see text] and [Formula: see text] . In consequence, the trajectories of the system are effectively localized. In this formalism, exact numerical calculations without any round-off error can be achieved, the numerical errors coming only from the limited sampling of the initial conditions.
Type of Medium:
Online Resource
ISSN:
0217-9792
,
1793-6578
DOI:
10.1142/S0217979299000072
Language:
English
Publisher:
World Scientific Pub Co Pte Ltd
Publication Date:
1999
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