Coarsening of "clouds" and dynamic scaling in a far-from-equilibrium model system

Abstract

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 $S(0,k_y;t)=t^{\beta }\tilde{S}(k_y{t}^{\alpha })$. 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.

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Cited by in corpus (2)

• Travelling with/against the flow. Deterministic diffusive driven systems
• Signals of Detailed Balance Violation in Nonequilibrium Stationary States: Subtle, Manifest, and Extraordinary