TY - JOUR
T1 - Lévy walk approach to anomalous diffusion
AU - Klafter, J.
AU - Blumen, A.
AU - Zumofen, G.
AU - Shlesinger, M. F.
N1 - Funding Information:
A grant of computetri mefrom the Rechenzentrudme r ETH-Ziirich and the supporto f the DeutscheF orschungsgemeinsch(SaFftB 213) and of the Fonds der ChemischenIn dustrie(grant of an IRIS-workstationa) re gratefullya c-knowledgedJ.. K. acknowledgetsh e supporto f the Fund for Basic Research administerebdy the Israel Academyo f Sciencesa nd Humanities.
PY - 1990/9/1
Y1 - 1990/9/1
N2 - The transport properties of Lévy walks are discussed in the framework of continuous time random walks (CTRW) with coupled memories. This type of walks may lead to anomalous diffusion where the mean squared displacement 〈r2(t)〉∼tα with α≠1. We focus on the enhanced diffusion limit, α>1, in one dimension and present our results on 〈r2(t)〉, the mean number of distinct sites visited S(t) and P(r, t), the probability of being at position r at time t.
AB - The transport properties of Lévy walks are discussed in the framework of continuous time random walks (CTRW) with coupled memories. This type of walks may lead to anomalous diffusion where the mean squared displacement 〈r2(t)〉∼tα with α≠1. We focus on the enhanced diffusion limit, α>1, in one dimension and present our results on 〈r2(t)〉, the mean number of distinct sites visited S(t) and P(r, t), the probability of being at position r at time t.
UR - http://www.scopus.com/inward/record.url?scp=0001245943&partnerID=8YFLogxK
U2 - 10.1016/0378-4371(90)90416-P
DO - 10.1016/0378-4371(90)90416-P
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AN - SCOPUS:0001245943
SN - 0378-4371
VL - 168
SP - 637
EP - 645
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 1
ER -