Numerical Study of a Field Theory for Directed Percolation

Details Numerical Study of a Field Theory for Directed Percolation Numerical Study of a Field Theory for Directed Percolation

1994-07-12

arxiv.org/abs/cond-mat/9407051v1

Physics

Condensed Matter

18 pages, LaTeX, 6 figures available upon request LC-CM-94-002

Scientific paper

10.1103/PhysRevE.50.4404

A numerical method is devised for study of stochastic partial differential equations describing directed percolation, the contact process, and other models with a continuous transition to an absorbing state. Owing to the heightened sensitivity to fluctuationsattending multiplicative noise in the vicinity of an absorbing state, a useful method requires discretization of the field variable as well as of space and time. When applied to the field theory for directed percolation in 1+1 dimensions, the method yields critical exponents which compare well against accepted values.

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