Multicritical behavior in coupled directed percolation processes
Statistical Mechanics
2009-10-30 v2
Abstract
We study a hierarchy of directed percolation (DP) processes for particle species A, B, ..., unidirectionally coupled via the reactions A -> B, ... When the DP critical points at all levels coincide, multicritical behavior emerges, with density exponents \beta^{(k)} which are markedly reduced at each hierarchy level k >= 2. We compute the fluctuation corrections to \beta^{(2)} to O(\epsilon = 4-d) using field-theoretic renormalization group techniques. Monte Carlo simulations are employed to determine the new exponents in dimensions d <= 3.
Cite
@article{arxiv.cond-mat/9709057,
title = {Multicritical behavior in coupled directed percolation processes},
author = {Uwe C. Täuber and Martin J. Howard and Haye Hinrichsen},
journal= {arXiv preprint arXiv:cond-mat/9709057},
year = {2009}
}
Comments
5 pages, RevTex, no figures; final version, to appear in Phys. Rev. Lett. (1998)