activity
19992025
most citedNonequilibrium Steady States of Matrix Product Form: A Solver's Guide

715 citations · 2.3k across the 43 of their papers we have counts for

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Showing 2002Show all

5 papers · 1 filter

cond-mat.stat-mech2002★ 41 cited

Formal Solution of a Class of Reaction-Diffusion Models: Reduction to a Single-Particle Problem

Alan J. Bray, Satya N. Majumdar, Richard A. Blythe

We consider the trapping reaction A + B -> B in space dimension d<=2. By formally eliminating the B particles from the problem we derive an effective dynamics for the A particles f…

cond-mat.stat-mech2002★ 62 cited

Survival probability of a diffusing particle in the presence of Poisson-distributed mobile traps

R. A. Blythe, A. J. Bray

The problem of a diffusing particle moving among diffusing traps is analyzed in general space dimension d. We consider the case where the traps are initially randomly distributed i…

cond-mat.stat-mech2002★ 12 cited

Perturbation theory for the one-dimensional trapping reaction

R. A. Blythe, A. J. Bray

We consider the survival probability of a particle in the presence of a finite number of diffusing traps in one dimension. Since the general solution for this quantity is not known…

cond-mat.stat-mech2002★ 69 cited

Exact Asymptotics for One-Dimensional Diffusion with Mobile Traps

Alan J. Bray, Richard A. Blythe

We consider a diffusing particle, with diffusion constant D', moving in one dimension in an infinite sea of noninteracting mobile traps with diffusion constant D and density rho. W…

cond-mat.stat-mech2002★ 92 cited

Lee-Yang zeros and phase transitions in nonequilibrium steady states

R. A. Blythe, M. R. Evans

We consider how the Lee-Yang description of phase transitions in terms of partition function zeros applies to nonequilibrium systems. Here one does not have a partition function, i…