Numerical simulations and scaling arguments are used to study the field dependence of a random walk in a one-dimensional system with a bias field on each site. The bias is taken randomly with equal probability to be +E or -E. The probability density -P(x, t) is found to scale asymptotically as {Mathematical expression} with A(E)=ln[(1+E)/(1-E)], β=4.25, and α=1.25. The mean square displacement scales as {Mathematical expression}, where F(u)∼ln4u asymptotically. © 1988 Plenum Publishing Corporation.

Bunde, A., Havlin, S., Roman, H., Schildt, G., Stanley, H. (1988). On the field dependence of random walks in the presence of random fields. JOURNAL OF STATISTICAL PHYSICS, 50(5-6), 1271-1276 [10.1007/BF01019166].

On the field dependence of random walks in the presence of random fields

Roman H. E.;
1988

Abstract

Numerical simulations and scaling arguments are used to study the field dependence of a random walk in a one-dimensional system with a bias field on each site. The bias is taken randomly with equal probability to be +E or -E. The probability density -P(x, t) is found to scale asymptotically as {Mathematical expression} with A(E)=ln[(1+E)/(1-E)], β=4.25, and α=1.25. The mean square displacement scales as {Mathematical expression}, where F(u)∼ln4u asymptotically. © 1988 Plenum Publishing Corporation.
Articolo in rivista - Articolo scientifico
anomalous diffusion; density distribution; fluctuations; random fields; Random walks
English
1988
50
5-6
1271
1276
none
Bunde, A., Havlin, S., Roman, H., Schildt, G., Stanley, H. (1988). On the field dependence of random walks in the presence of random fields. JOURNAL OF STATISTICAL PHYSICS, 50(5-6), 1271-1276 [10.1007/BF01019166].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/326808
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