English

Surface Critical Behavior in Systems with Absorbing States

Statistical Mechanics 2009-10-31 v1

Abstract

We present a general scaling theory for the surface critical behavior of non-equilibrium systems with phase transitions into absorbing states. The theory allows for two independent surface exponents which satisfy generalized hyperscaling relations. As an application we study a generalized version of directed percolation with two absorbing states. We find two distinct surface universality classes associated with inactive and reflective walls. Our results indicate that the exponents associated with these two surface universality classes are closely connected.

Keywords

Cite

@article{arxiv.cond-mat/9808335,
  title  = {Surface Critical Behavior in Systems with Absorbing States},
  author = {K. B. Lauritsen and P. Frojdh and M. Howard},
  journal= {arXiv preprint arXiv:cond-mat/9808335},
  year   = {2009}
}

Comments

latex, 4 pages, to appear in PRL

R2 v1 2026-07-22T12:06:13.801Z