PMID: 15245033Jul 13, 2004Paper

Quantitative phase diagrams of branching and annihilating random walks

Physical Review Letters
Léonie CanetBertrand Delamotte

Abstract

We demonstrate the full power of nonperturbative renormalization group methods for nonequilibrium situations by calculating the quantitative phase diagrams of simple branching and annihilating random walks and checking these results against careful numerical simulations. Specifically, we show, for the [see text] case, that an absorbing phase transition exists in dimensions d=1 to 6 and argue that mean-field theory is restored not in d=3, as suggested by previous analyses, but only in the limit d--> infinity.

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Citations

Jun 8, 2011·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Jean-Paul Blaizot
Dec 9, 2017·Physical Review Letters·Shunsuke Yabunaka, Bertrand Delamotte
Sep 28, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Géza Odor
Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Géza Odor
Oct 4, 2005·Physical Review Letters·Léonie CanetMiguel A Muñoz
Dec 13, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Vlad Elgart, Alex Kamenev
Nov 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·F BenitezN Wschebor
Apr 3, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·F BenitezN Wschebor
Aug 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ingo HomrighausenErwin Frey
Mar 18, 2017·Reports on Progress in Physics·Markus F Weber, Erwin Frey
Sep 28, 2017·Physical Review. E·Malo TarpinNicolás Wschebor
Dec 24, 2018·Physical Review Letters·Shunsuke Yabunaka, Bertrand Delamotte
Jan 11, 2020·Physical Review Letters·Ivan BalogNicolás Wschebor
Aug 3, 2016·Reports on Progress in Physics·L M SiebererS Diehl
Jan 20, 2018·Physical Review. E·Charlie Duclut, Bertrand Delamotte
Feb 7, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Léonie CanetNicolás Wschebor
Jun 19, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Federico Benitez, Nicolás Wschebor
Mar 4, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Damien GredatIvan Dornic
Feb 1, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Su-Chan Park, Hyunggyu Park
May 21, 2010·Physical Review Letters·Léonie CanetNicolás Wschebor
Mar 19, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Anton A Winkler, Erwin Frey
Sep 26, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Federico Benitez, Nicolás Wschebor

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