零分支率下多物种消散随机行走相变研究 - 自旋模型中的簇尺度行为
统计力学
2009-11-10 v3 软凝聚态物质
摘要
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.
引用
@article{arxiv.cond-mat/0308050,
title = {Study of the multi-species annihilating random walk transition at zero branching rate - cluster scaling behavior in a spin model},
author = {Nora Menyhard and Geza Odor},
journal= {arXiv preprint arXiv:cond-mat/0308050},
year = {2009}
}
备注
7 pages, 6 figures, final form to appear in PRE Nov.2003