TY - JOUR
T1 - Directed polymer - Directed percolation transition
T2 - The strong disorder case
AU - Perlsman, E.
AU - Havlin, S.
PY - 2005/2
Y1 - 2005/2
N2 - The transition of physical properties in disordered systems from strong disorder characteristics to weak disorder characteristics is studied for the directed polymer case. It is shown analytically that this transition is governed by the ratio ρ(pc)/k, where ρ is the probability density of the maximal bond of the optimal Min-Max path, pc is the critical probability of directed percolation, and k is the degree of disorder. This analytic result is found to be in agreement with numerical results related to this transition.
AB - The transition of physical properties in disordered systems from strong disorder characteristics to weak disorder characteristics is studied for the directed polymer case. It is shown analytically that this transition is governed by the ratio ρ(pc)/k, where ρ is the probability density of the maximal bond of the optimal Min-Max path, pc is the critical probability of directed percolation, and k is the degree of disorder. This analytic result is found to be in agreement with numerical results related to this transition.
UR - http://www.scopus.com/inward/record.url?scp=17444376464&partnerID=8YFLogxK
U2 - 10.1140/epjb/e2005-00085-7
DO - 10.1140/epjb/e2005-00085-7
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:17444376464
SN - 1434-6028
VL - 43
SP - 517
EP - 520
JO - European Physical Journal B
JF - European Physical Journal B
IS - 4
ER -