Reaction–diffusion processes and non-perturbative renormalization group
Reaction–diffusion processes and non-perturbative renormalization group
复制标题
反应扩散过程和非微扰重正化群
DOI：
10.1088/0305-4470/39/25/s07
复制
发表时间：
2005
期刊：
影响因子：
--
通讯作者：
L. Canet
中科院分区：
文献类型：
--
作者：
L. Canet
本文研究了反应扩散过程中常见的向吸收态的非平衡相变。这是一篇综述，基于Canet，Delamotte，Deloubriere和Wschebor（2004年物理评论快报）。92 195703）; Canet，Chate和Delamotte（2004 Phys. Rev. Lett. 92 255703）和Canet等人（2005 Phys.Rev.Lett. 95 100601），非微扰重整化群方法允许该领域的最新进展。我们主要关注分支和零化随机游动，并表明它们的临界性质强烈依赖于非微扰特征，因此使用非微扰方法对于正确理解这些模型的物理性质至关重要。
This paper is devoted to investigating non-equilibrium phase transitions to an absorbing state, which are generically encountered in reaction–diffusion processes. It is a review, based on Canet, Delamotte, Deloubriere and Wschebor (2004 Phys. Rev. Lett. 92 195703); Canet, Chate and Delamotte (2004 Phys. Rev. Lett. 92 255703) and Canet et al (2005 Phys. Rev. Lett. 95 100601), of recent progress in this field that has been allowed by a non-perturbative renormalization group approach. We mainly focus on branching and annihilating random walks and show that their critical properties strongly rely on non-perturbative features and that hence the use of a non-perturbative method turns out to be crucial to get a correct picture of the physics of these models.