NUMERICAL STUDY OF A FIELD-THEORY FOR DIRECTED PERCOLATION

A numerical method is devised for the 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 fluctuations attending 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. © 1994 The American Physical Society.