English

Equation of state for directed percolation

Statistical Mechanics 2009-10-31 v1

Abstract

Using field-theoretic renormalization group methods we calculate the equation of state for non-equilibrium systems belonging to the universality class of directed percolation (Gribov process) to second order in epsilon = 4-d. By introducing a parametric representation the result can be written to this order in a very simple form. We use our result to obtain a universal amplitude ratio to second order in epsilon.

Cite

@article{arxiv.cond-mat/9810309,
  title  = {Equation of state for directed percolation},
  author = {H. K. Janssen and Ue. Kutbay and K. Oerding},
  journal= {arXiv preprint arXiv:cond-mat/9810309},
  year   = {2009}
}

Comments

12 pages, LaTeX (IOP style), 7 figures included

R2 v1 2026-07-22T12:07:20.421Z