Quantitative Phase Diagrams of Branching and Annihilating Random Walks

Details Quantitative Phase Diagrams of Branching and Annihilating Random Walks Quantitative Phase Diagrams of Branching and Annihilating Random Walks

2004-03-17

arxiv.org/abs/cond-mat/0403423v2

Phys.Rev.Lett. 92 (2004) 255703

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures, published version (some typos corrected)

Scientific paper

10.1103/PhysRevLett.92.255703

We demonstrate the full power of nonperturbative renormalisation 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 2A->0, A -> 2A 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 -> $\infty$.

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