TY - JOUR
T1 - Diffusion in the presence of quenched random bias fields
T2 - A two-dimensional generalization of the Sinai model
AU - Blumberg Selinger, Robin L.
AU - Havlin, Shlomo
AU - Leyvraz, François
AU - Schwartz, Moshe
AU - Stanley, H. Eugene
PY - 1989
Y1 - 1989
N2 - We report a theoretical and numerical study of diffusion in two dimensions in the presence of quenched random bias fields. The local bias field is taken to be the gradient of a random scalar potential V(i,j). We consider the special case V(i,j)=V1(i)+V2(j), where the gradients of V1 and V2 are chosen to be randomly ±0 with 0<01. We find that asymptotically (t) the mean square displacement grows with the time t as (lnt)4, just as in the one-dimensional Sinai model.
AB - We report a theoretical and numerical study of diffusion in two dimensions in the presence of quenched random bias fields. The local bias field is taken to be the gradient of a random scalar potential V(i,j). We consider the special case V(i,j)=V1(i)+V2(j), where the gradients of V1 and V2 are chosen to be randomly ±0 with 0<01. We find that asymptotically (t) the mean square displacement grows with the time t as (lnt)4, just as in the one-dimensional Sinai model.
UR - http://www.scopus.com/inward/record.url?scp=0343066514&partnerID=8YFLogxK
U2 - 10.1103/physreva.40.6755
DO - 10.1103/physreva.40.6755
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AN - SCOPUS:0343066514
SN - 1050-2947
VL - 40
SP - 6755
EP - 6758
JO - Physical Review A
JF - Physical Review A
IS - 11
ER -