Study of the multi-species annihilating random walk transition at zero branching rate - cluster scaling behavior in a spin model

Details Study of the multi-species annihilating random walk transition at zero branching rate - cluster scaling behavior in a spin model Study of the multi-species annihilating random walk transition at zero branching rate - cluster scaling behavior in a spin model

2003-08-04

arxiv.org/abs/cond-mat/0308050v3

Phys. Rev. E 68 (2003) 056106.

Physics

Condensed Matter

Statistical Mechanics

7 pages, 6 figures, final form to appear in PRE Nov.2003

Scientific paper

10.1103/PhysRevE.68.056106

Numerical and theoretical studies of a one-dimensional spin model with locally broken spin symmetry are presented. The multi-species annihilating random walk transition found at zero branching rate previously is investigated now concerning the cluster behaviour of the underlying spins. Generic power law behaviors are found, besides the phase transition point, also in the active phase with fulfillment of the hyperscaling law. On the other hand scaling laws connecting bulk- and cluster exponents are broken - a possibility in no contradiction with basic scaling assumptions because of the missing absorbing phase.

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