High-precision Monte-Carlo study of the two-dimensional contact process

POSTER

Abstract

We investigate the absorbing-state nonequilibrium phase transition in the two-dimensional contact process by means of large-scale Monte-Carlo simulations. We perform spreading runs starting from a single active site in an otherwise inactive host and combine a reweighting technique with a careful extrapolation of the effective exponents to infinite time. This allows us to determine the critical behavior in the two-dimensional directed percolation universality class with unprecedented accuracy.

*This work has been supported in part by the NSF under grants nos. DMR-0906566 and DMR-1205803

Authors

  • Stephen Kraus

    • Missouri University of Science and Technology
  • Thomas Vojta

    • Missouri University of Science and Technology