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A two-dimensional lattice gas of two species, driven in opposite directions by an external force, undergoes a jamming transition if the filling fraction is sufficiently high. Using Monte Carlo simulations, we investigate the growth of these jams (clouds), as the system approaches a non-equilibrium steady state from a disordered initial state. We monitor the dynamic structure factor $S(k_x,k_y;t)$ and find that the $k_x=0$ component exhibits dynamic scaling, of the form $S(0,k_y;t)=t^beta tilde{S}(k_yt^alpha)$. Over a significant range of times, we observe excellent data collapse with $alpha=1/2$ and $beta=1$. The effects of varying filling fraction and driving force are discussed.
In recent years statistical physicists have developed {it discrete} particle-hopping models of vehicular traffic, usually formulated in terms of {it cellular automata}, which are similar to the microscopic models of interacting charged particles in t
We find a breakdown of the critical dynamic scaling in the coarsening dynamics of an antiferromagnetic {em XY} model on the kagome lattice when the system is quenched from disordered states into the Kosterlitz-Thouless ({em KT}) phases at low tempera
Understanding and classifying nonequilibrium many-body phenomena, analogous to the classification of equilibrium states of matter into universality classes, is an outstanding problem in physics. Any many-body system, from stellar matter to financial
In this Letter we show that the diffusion kinetics of kinetic energy among the atoms in non- equilibrium crystalline systems follows universal scaling relation and obey Levy-walk properties. This scaling relation is found to be valid for systems no matter how far they are driven out of equilibrium.
The observable properties of topological quantum matter are often described by topological field theories. We here demonstrate that this principle extends beyond thermal equilibrium. To this end, we construct a model of two-dimensional driven open dy