TY - JOUR
T1 - Random multiplicative processes and transport in structures with correlated spatial disorder
AU - Havlin, S.
AU - Selinger, R. Blumberg
AU - Schwartz, M.
AU - Stanley, H. E.
AU - Bunde, A.
PY - 1988
Y1 - 1988
N2 - We show that strong spatial correlations in a random resistor network can dramatically alter its transport properties. We calculate the average logarithmic resistance of a topologically one-dimensional model characterized by a random multiplicative process. We find a transport exponent that depends explicitly on the form of the spatial correlations; we also find that this problem is related to diffusion in the presence of correlated random fields.
AB - We show that strong spatial correlations in a random resistor network can dramatically alter its transport properties. We calculate the average logarithmic resistance of a topologically one-dimensional model characterized by a random multiplicative process. We find a transport exponent that depends explicitly on the form of the spatial correlations; we also find that this problem is related to diffusion in the presence of correlated random fields.
UR - http://www.scopus.com/inward/record.url?scp=0000555231&partnerID=8YFLogxK
U2 - 10.1103/physrevlett.61.1438
DO - 10.1103/physrevlett.61.1438
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AN - SCOPUS:0000555231
SN - 0031-9007
VL - 61
SP - 1438
EP - 1441
JO - Physical Review Letters
JF - Physical Review Letters
IS - 13
ER -