TY - JOUR
T1 - Trapping of random walks in two and three dimensions
AU - Havlin, Shlomo
AU - Dishon, Menachem
AU - Kiefer, James E.
AU - Weiss, George H.
PY - 1984
Y1 - 1984
N2 - We introduce an exact enumeration method for calculating the survival probability P(n) for the n-step random walker on a lattice with randomly distributed high-concentration traps, c. Using it we show that our data scale as lnP(n)a , where =[-ln(1-c)]2(D+2)nD(D+2), when 10 in D=2 and D=3 dimensions. This value of corresponds to P(n)10-13.
AB - We introduce an exact enumeration method for calculating the survival probability P(n) for the n-step random walker on a lattice with randomly distributed high-concentration traps, c. Using it we show that our data scale as lnP(n)a , where =[-ln(1-c)]2(D+2)nD(D+2), when 10 in D=2 and D=3 dimensions. This value of corresponds to P(n)10-13.
UR - http://www.scopus.com/inward/record.url?scp=35949020414&partnerID=8YFLogxK
U2 - 10.1103/physrevlett.53.407
DO - 10.1103/physrevlett.53.407
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AN - SCOPUS:35949020414
SN - 0031-9007
VL - 53
SP - 407
EP - 410
JO - Physical Review Letters
JF - Physical Review Letters
IS - 5
ER -