English

Dimensional reduction in a model with infinitely many absorbing states

Statistical Mechanics 2009-10-31 v1

Abstract

Using Monte Carlo method we study a two-dimensional model with infinitely many absorbing states. Our estimation of the critical exponent beta=0.273(5) suggests that the model belongs to the (1+1) rather than (2+1) directed-percolation universality class. We also show that for a large class of absorbing states the dynamic Monte Carlo method leads to spurious dynamical transitions.

Keywords

Cite

@article{arxiv.cond-mat/9910029,
  title  = {Dimensional reduction in a model with infinitely many absorbing states},
  author = {Adam Lipowski},
  journal= {arXiv preprint arXiv:cond-mat/9910029},
  year   = {2009}
}

Comments

6 pages, 4 figures, Phys.Rev. E, Dec. 1999

R2 v1 2026-07-22T12:15:20.592Z