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Critical Exponents for Branching Annihilating Random Walks with an Even Number of Offspring | | Iwan Jensen
; | | Date: |
4 May 1994 | | Subject: | cond-mat | | Abstract: | Recently, Takayasu and Tretyakov [Phys. Rev. Lett. {f 68}, 3060 (1992)], studied branching annihilating random walks (BAW) with $n=1$-5 offspring. These models exhibit a continuous phase transition to an absorbing state. For odd $n$ the models belong to the universality class of directed percolation. For even $n$ the particle number is conserved modulo 2 and the critical behavior is not compatible with directed percolation. In this article I study the BAW with $n=4$ using time-dependent simulations and finite-size scaling obtaining precise estimates for various critical exponents. The results are consistent with the conjecture: $eta/
uh = {1/2}$, $
uv/
uh = {7/4}$, $gamma = 0$, $delta = {2/7}$, $eta = 0$, $z = {8/7}$, and $delta_{h} = {9/2}$. | | Source: | arXiv, cond-mat/9405006 | | Services: | Forum | Review | PDF | Favorites | |
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