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most citedApplications of Field-Theoretic Renormalization Group Methods to Reaction-Diffusion Problems

285 citations

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9 papers · 1 filter

cond-mat.stat-mech200537 cited

Spurious phase in a model for traffic on a bridge

David W. Erickson, Gunnar Pruessner, B. Schmittmann +1

We present high-precision Monte Carlo data for the phase diagram of a two-species driven diffusive system, reminiscent of traffic across a narrow bridge. Earlier studies reported t…

cond-mat.stat-mech200511 cited

Will jams get worse when slow cars move over?

B. Schmittmann, J. Krometis, R. K. P. Zia

Motivated by an analogy with traffic, we simulate two species of particles (`vehicles'), moving stochastically in opposite directions on a two-lane ring road. Each species prefers…

cond-mat.stat-mech200528 cited

Anomalous nucleation far from equilibrium

Ivan T. Georgiev, Beate Schmittmann, Royce K. P. Zia

We present precision Monte Carlo data and analytic arguments for an asymmetric exclusion process, involving two species of particles driven in opposite directions on a

cond-mat.stat-mech2005285 cited

Applications of Field-Theoretic Renormalization Group Methods to Reaction-Diffusion Problems

Uwe C. Tauber, Martin Howard, Benjamin P. Vollmayr-Lee

We review the application of field-theoretic renormalization group (RG) methods to the study of fluctuations in reaction-diffusion problems. We first investigate the physical origi…

cond-mat.stat-mech200410 cited

Exact dynamics of a reaction-diffusion model with spatially alternating rates

M. Mobilia, B. Schmittmann, R. K. P. Zia

We present the exact solution for the full dynamics of a nonequilibrium spin chain and its dual reaction-diffusion model, for arbitrary initial conditions. The spin chain is driven…

cond-mat.stat-mech200465 cited

Voting and Catalytic Processes with Inhomogeneities

Mauro Mobilia, Ivan T. Georgiev

We consider the dynamics of the voter model and of the monomer-monomer catalytic process in the presence of many ``competing'' inhomogeneities and show, through exact calculations…