Tricritical directed percolation
Statistical Mechanics
2009-11-11 v1
Abstract
We consider a modification of the contact process incorporating higher-order reaction terms. The original contact process exhibits a non-equilibrium phase transition belonging to the universality class of directed percolation. The incorporated higher-order reaction terms lead to a non-trivial phase diagram. In particular, a line of continuous phase transitions is separated by a tricritical point from a line of discontinuous phase transitions. The corresponding tricritical scaling behavior is analyzed in detail, i.e., we determine the critical exponents, various universal scaling functions as well as universal amplitude combinations.
Cite
@article{arxiv.cond-mat/0608339,
title = {Tricritical directed percolation},
author = {S. Lubeck},
journal= {arXiv preprint arXiv:cond-mat/0608339},
year = {2009}
}