Stochastic Light-Cone CTMRG: a new DMRG approach to stochastic models
Abstract
We develop a new variant of the recently introduced stochastic transfer-matrix DMRG which we call stochastic light-cone corner-transfer-matrix DMRG (LCTMRG). It is a numerical method to compute dynamic properties of one-dimensional stochastic processes. As suggested by its name, the LCTMRG is a modification of the corner-transfer-matrix DMRG (CTMRG), adjusted by an additional causality argument. As an example, two reaction-diffusion models, the diffusion-annihilation process and the branch-fusion process, are studied and compared to exact data and Monte-Carlo simulations to estimate the capability and accuracy of the new method. The number of possible Trotter steps of more than 10^5 shows a considerable improvement to the old stochastic TMRG algorithm.
Keywords
Cite
@article{arxiv.cond-mat/0210487,
title = {Stochastic Light-Cone CTMRG: a new DMRG approach to stochastic models},
author = {A. Kemper and A. Gendiar and T. Nishino and A. Schadschneider and J. Zittartz},
journal= {arXiv preprint arXiv:cond-mat/0210487},
year = {2009}
}
Comments
15 pages, uses IOP style