23 citations · 23 across the 1 of their papers we have counts for
7 papers
Rigorous results on spontaneous symmetry breaking in a one-dimensional driven particle system
Stefan Grosskinsky, Gunter M. Schutz, Richard D. Willmann
We study spontaneous symmetry breaking in a one-dimensional driven two-species stochastic cellular automaton with parallel sublattice update and open boundaries. The dynamics are s…
Scaling behavior of the directed percolation universality class
S. Lubeck, R. D. Willmann
In this work we consider five different lattice models which exhibit continuous phase transitions into absorbing states. By measuring certain universal functions, which characteriz…
Universal scaling behavior of directed percolation around the upper critical dimension
S. Lubeck, R. D. Willmann
In this work we consider the steady state scaling behavior of directed percolation around the upper critical dimension. In particular we determine numerically the order parameter,…
Spontaneous Symmetry Breaking in a Non-Conserving Two-Species Driven Model
E. Levine, R. D. Willmann
A two species particle model on an open chain with dynamics which is non-conserving in the bulk is introduced. The dynamical rules which define the model obey a symmetry between th…
Localization of shocks in driven diffusive systems without particle number conservation
V. Popkov, A. Rakos, R. D. Willmann +2
We study the formation of localized shocks in one-dimensional driven diffusive systems with spacially homogeneous creation and annihilation of particles (Langmuir kinetics).We show…
Diffusion in a generalized Rubinstein-Duke model of electrophoresis with kinematic disorder
R. D. Willmann, G. M. Schütz, K. Jain
Using a generalized Rubinstein-Duke model we prove rigorously that kinematic disorder leaves the prediction of standard reptation theory for the scaling of the diffusion constant i…