English

Linearly Coupled Directed Percolation in the Strong Coupling Regime

Soft Condensed Matter 2007-05-23 v1

Abstract

We consider directed percolation processes for particle types A and B coupled unidirectionally by a transmutation reaction A -> B. It is shown that the strong coupling regime of this recently introduced problem defines a universality class with upper critical dimension d=6. Exact expressions are derived for the scaling dimensions in the inactive phase above d=4. Below d=4 the interactions of the normal directed percolation also get relevant.

Keywords

Cite

@article{arxiv.cond-mat/0402316,
  title  = {Linearly Coupled Directed Percolation in the Strong Coupling Regime},
  author = {R. Dengler},
  journal= {arXiv preprint arXiv:cond-mat/0402316},
  year   = {2007}
}

Comments

6 pages, 1 figure

R2 v1 2026-07-22T10:59:47.644Z