2002/10/22 by A. Kemper, A Kemper, A Gendiar +7 · 2 citations
Mathematics · Physics and Astronomy · #Causality (physics) #Continuous-time stochastic process #Markov Chains and Monte Carlo Methods #Process (computing) #Quantum many-body systems #Random Matrices and Applications #Stochastic modelling #Stochastic optimization #Stochastic process #cond-mat.stat-mech
paper · pdf · doi:10.1088/0305-4470/36/1/303
published as J. Phys. A: Math. Gen. 36, 29-41 (2003) · 15 pages, uses IOP style
arxiv created 2002/10/22 · openalex publication_date 2002/12/12 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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, 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 with 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 on the old stochastic TMRG algorithm.