TY - JOUR
T1 - Random walks on a fluctuating lattice
T2 - A renormalization group approach applied in one dimension
AU - Levermore, C. D.
AU - Nadler, W.
AU - Stein, D. L.
PY - 1995
Y1 - 1995
N2 - 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 the dimensionality of the lattice.
AB - 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 the dimensionality of the lattice.
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U2 - 10.1103/PhysRevE.51.2779
DO - 10.1103/PhysRevE.51.2779
M3 - Article
AN - SCOPUS:5644235740
SN - 1063-651X
VL - 51
SP - 2779
EP - 2786
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 4
ER -