Work

Branching-rate expansion around annihilating random walks

Year: 2012

Type: article

Abstract: We present some exact results for branching and annihilating random walks. We compute the nonuniversal threshold value of the annihilation rate for having a phase transition in the simplest reaction-diffusion system belonging to the directed percolation universality class. Also, we show that the accepted scenario for the appearance of a phase transition in the parity conserving universality class must be improved. In order to obtain these results we perform an expansion in the branching rate around pure annihilation, a theory without branching. This expansion is possible because we manage to solve pure annihilation exactly in any dimension.

Source: Physical Review E

DOI: 10.1103/physreve.86.010104

Authors: Federico Benitez, Nicolás Wschebor

Institutions: Centre National de la Recherche Scientifique, Universidad de la República de Uruguay, Laboratoire de Physique Théorique de la Matière Condensée, Université Pierre-et-Marie-Curie

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2050756412

FWCI: 1.946

Cites: 26

Cited by: 14

Related to: 10