Iwan Jensen 2005 J. Phys. A: Math. Gen. 38 1441 doi:10.1088/0305-4470/38/7/003
Iwan Jensen
Show affiliationsWe 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.
05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
82B43 Percolation (See also 60K35)
82B80 Numerical methods (Monte Carlo, series resummation, etc.) (See also 65-XX, 81T80)
Issue 7 (18 February 2005)
Received 22 October 2004
Published 2 February 2005
Iwan Jensen 2005 J. Phys. A: Math. Gen. 38 1441
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