Exact solution of a reaction-diffusion process with three-site interactions
统计力学
2008-11-26 v1 高能物理 - 理论
数学物理
math.MP
可精确求解与可积系统
摘要
The one-dimensional reaction diffusion process AA->A and A0A->AAA is exactly solvable through the empty interval method if the diffusion rate equals the coagulation rate. Independently of the particle production rate, the model is always in the universality class of diffusion-annihilation. This allows us to check analytically the universality of finite-size scaling in a non-equilibrium critical point.
引用
@article{arxiv.cond-mat/0010062,
title = {Exact solution of a reaction-diffusion process with three-site interactions},
author = {Malte Henkel and Haye Hinrichsen},
journal= {arXiv preprint arXiv:cond-mat/0010062},
year = {2008}
}
备注
Latex, 12 pages, with 3 figures included