Real-space renormalisation group approach to driven diffusive systems

Abstract

We introduce a real-space renormalisation group procedure for driven diffusive systems which predicts both steady state and dynamic properties. We apply the method to the boundary driven asymmetric simple exclusion process and recover exact results for the steady state phase diagram, as well as the crossovers in the relaxation dynamics for each phase.

10 pages, 5 figures

References in corpus (7)

• Bethe Ansatz Solution of the Asymmetric Exclusion Process with Open Boundaries
• Density Matrix Renormalization Group and Reaction-Diffusion Processes
• Critical properties of the reaction - diffusion model 2A -> 3A, 2A ->0
• A DMRG study of the q-symmetric Heisenberg chain
• The one-dimensional contact process: duality and renormalisation
• Quantum Scaling Approach to Nonequilibrium Models
• A Position-Space Renormalization-Group Approach for Driven Diffusive Systems Applied to the Asymmetric Exclusion Model

Cited by in corpus (1)

• Slowest relaxation mode of the partially asymmetric exclusion process with open boundaries