TY - JOUR
T1 - Low-density series expansions for directed percolation
T2 - IV. Temporal disorder
AU - Jensen, Iwan
PY - 2005/2/18
Y1 - 2005/2/18
N2 - We introduce a model for temporally disordered directed percolation in which the probability of spreading from a vertex (t, x), where t is the time and x is the spatial coordinate, is independent of x but depends on t. Using a very efficient algorithm we calculate low-density series for bond percolation on the directed square lattice. Analysis of the series yields estimates for the critical point pc and various critical exponents which are consistent with a continuous change of the critical parameters as the strength of the disorder is increased.
AB - We introduce a model for temporally disordered directed percolation in which the probability of spreading from a vertex (t, x), where t is the time and x is the spatial coordinate, is independent of x but depends on t. Using a very efficient algorithm we calculate low-density series for bond percolation on the directed square lattice. Analysis of the series yields estimates for the critical point pc and various critical exponents which are consistent with a continuous change of the critical parameters as the strength of the disorder is increased.
UR - http://www.scopus.com/inward/record.url?scp=14544287270&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/38/7/003
DO - 10.1088/0305-4470/38/7/003
M3 - Article
AN - SCOPUS:14544287270
SN - 0305-4470
VL - 38
SP - 1441
EP - 1449
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
IS - 7
ER -