TY - JOUR
T1 - Low-density series expansions for directed percolation
T2 - III. Some two-dimensional lattices
AU - Jensen, Iwan
PY - 2004/7/9
Y1 - 2004/7/9
N2 - We use very efficient algorithms to calculate low-density series for bond and site percolation on the directed triangular, honeycomb, kagomé and (4.82) lattices. Analysis of the series yields accurate estimates of the critical point pc and various critical exponents. The exponent estimates differ only in the 5th digit, thus providing strong numerical evidence for the expected universality of the critical exponents for directed percolation problems. In addition we also study the non-physical singularities of the series.
AB - We use very efficient algorithms to calculate low-density series for bond and site percolation on the directed triangular, honeycomb, kagomé and (4.82) lattices. Analysis of the series yields accurate estimates of the critical point pc and various critical exponents. The exponent estimates differ only in the 5th digit, thus providing strong numerical evidence for the expected universality of the critical exponents for directed percolation problems. In addition we also study the non-physical singularities of the series.
UR - http://www.scopus.com/inward/record.url?scp=3142619073&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/37/27/003
DO - 10.1088/0305-4470/37/27/003
M3 - Article
AN - SCOPUS:3142619073
VL - 37
SP - 6899
EP - 6915
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
SN - 0305-4470
IS - 27
ER -