Iwan Jensen 2005 J. Phys. A: Math. Gen. 38 1441 doi:10.1088/0305-4470/38/7/003
Low-density series expansions for directed percolation: IV. Temporal disorder
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.
- PACS
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05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
- MSC
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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)
- Subjects
- Dates
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Issue 7 (18 February 2005)
Received 22 October 2004
Published 2 February 2005
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Low-density series expansions for directed percolation: IV. Temporal disorder
Iwan Jensen 2005 J. Phys. A: Math. Gen. 38 1441
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