Directed diffusion of reconstituting dimers

Abstract

We discuss dynamical aspects of an asymmetric version of assisted diffusion of hard core particles on a ring studied by G. I. Menon {\it et al.} in J. Stat Phys. {\bf 86}, 1237 (1997). The asymmetry brings in phenomena like kinematic waves and effects of the Kardar-Parisi-Zhang nonlinearity, which combine with the feature of strongly broken ergodicity, a characteristic of the model. A central role is played by a single nonlocal invariant, the irreducible string, whose interplay with the driven motion of reconstituting dimers, arising from the assisted hopping, determines the asymptotic dynamics and scaling regimes. These are investigated both analytically and numerically through sector-dependent mappings to the asymmetric simple exclusion process.

10 pages, 6 figures. Slight corrections, one added reference. To appear in J. Phys. Cond. Matt. (2007). Special issue on chemical kinetics

References in corpus (6)

• Universality classes in nonequilibrium lattice systems
• The totally asymmetric exclusion process with extended objects, a model for protein synthesis
• Scaling Limit for the Space-Time Covariance of the Stationary Totally Asymmetric Simple Exclusion Process
• Exclusion process for particles of arbitrary extension: Hydrodynamic limit and algebraic properties
• Slow Relaxation in a Model with Many Conservation Laws : Deposition and Evaporation of Trimers on a Line
• Conservation Laws and Integrability of a One-dimensional Model of Diffusing Dimers

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• Phase separation transition of reconstituting k-mers in one dimension
• Phase coexistence and spatial correlations in reconstituting k-mer models
• Simulations of driven and reconstituting lattice gases
• Roughening of $k$-mer growing interfaces in stationary regimes