Simulations of driven and reconstituting lattice gases

Abstract

We discuss stationary aspects of a set of driven lattice gases in which hard-core particles with spatial extent, covering more than one lattice site, diffuse and reconstruct in one dimension under nearest-neighbor interactions. As in the uncoupled case [ M. Barma et al., J. Phys. Condens. Matter 19, 065112 (2007) ], the dynamics of the phase space breaks up into an exponentially large number of mutually disconnected sectors labeled by a non-local construct, the irreducible string. Depending on whether the particle couplings are taken attractive or repulsive, simulations in most of the studied sectors show that both steady state currents and pair correlations behave quite differently at low temperature regimes. For repulsive interactions an order-by-disorder transition is suggested.

Phase coexistence and spatial correlations in reconstitutingk-mer models

“…Interestingly, in the continuum limit, the scaling behavior of the spatial correlation is found to be same as obtained for a driven tonks gas [20,30]. Various polydispersed models consisting of particles of different sizes and hence as many conservation laws have also been studied [31][32][33][34]. Their phase behavior in general show strongly broken ergodicity and the dynamical critical behavior.…”

Phase separation transition of reconstitutingk-mers in one dimension

“…The spatial correlation functions in models with diffusing k-mers show oscillatory behaviour which decays for large distance [16]; in the continuum limit, the exact scaling functions in such a model are the same as obtained for a driven Tonks gas [17] Reconstitution dynamics has been studied for one dimensional systems consisting of only monomers and dimers [18,19]; these systems generally show strong ergodicity breaking. Later studies [20,21] generalized these models to include asymmetric diffusion of k-mers up to a maximum length k max . This brings into picture kinematic waves and KPZ non-linearity in general.…”

“…Reconstitution dynamics has been studied for one-dimensional systems consisting only of monomers and dimers [18,19]; these systems generally show strong ergodicity breaking. Later studies [20,21] generalized these models to include the asymmetric diffusion of kmers up to a maximum length k max . This brings into the picture kinematic waves and KPZ non-linearity in general.…”