TY - JOUR

T1 - Time dependent correlation functions of diffusing particles in random systems

AU - Bunde, Armin

AU - Eduardo Roman, H.

AU - Havlin, Shlomo

PY - 1990/8

Y1 - 1990/8

N2 - We investigate the probability density 〈P(r, t)〉of diffusing particles in percolation systems at the percolation threshold and in self-avoiding random walks, which are considered as model systems for structural disorder. We find that 〈P(r, t)〉 is a stretched Gaussian and scales as log [if[<P(r,t)〉/〈P(r,0)〉]{reversed tilde equals}-[r/R(t)]u, where R(t) is the root-mean-square displacement, R(t) {reversed tilde equals} t1/dw, and u=dw/(dw-1). We also study how P(r,t) varies, for fixed distance r,and time t, for different realizations of the structural disorder. We find that the fluctuations have a broad logarithmic distribution, and the average moments 〈Pq〉 scale in a characteristic multifractal fashion.

AB - We investigate the probability density 〈P(r, t)〉of diffusing particles in percolation systems at the percolation threshold and in self-avoiding random walks, which are considered as model systems for structural disorder. We find that 〈P(r, t)〉 is a stretched Gaussian and scales as log [if[<P(r,t)〉/〈P(r,0)〉]{reversed tilde equals}-[r/R(t)]u, where R(t) is the root-mean-square displacement, R(t) {reversed tilde equals} t1/dw, and u=dw/(dw-1). We also study how P(r,t) varies, for fixed distance r,and time t, for different realizations of the structural disorder. We find that the fluctuations have a broad logarithmic distribution, and the average moments 〈Pq〉 scale in a characteristic multifractal fashion.

UR - http://www.scopus.com/inward/record.url?scp=0025475916&partnerID=8YFLogxK

U2 - 10.1016/0167-2738(90)90319-m

DO - 10.1016/0167-2738(90)90319-m

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AN - SCOPUS:0025475916

SN - 0167-2738

VL - 40-41

SP - 192

EP - 195

JO - Solid State Ionics

JF - Solid State Ionics

IS - PART 1

ER -