Nonlinear Sciences – Adaptation and Self-Organizing Systems
Scientific paper
1994-10-17
Nonlinear Sciences
Adaptation and Self-Organizing Systems
PostScript file including 2 figures, total 15 pages, 8 other figures obtainable by mail from D.L. Stein
Scientific paper
10.1103/PhysRevE.51.2779
We study the problem of a random walk on a lattice in which bonds connecting nearest neighbor sites open and close randomly in time, a situation often encountered in fluctuating media. We present a simple renormalization group technique to solve for the effective diffusive behavior at long times. For one-dimensional lattices we obtain better quantitative agreement with simulation data than earlier effective medium results. Our technique works in principle in any dimension, although the amount of computation required rises with dimensionality of the lattice.
Levermore David C.
Nadler Walter
Stein Daniel L.
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