2006/09/30 by Mustansir Barma, Marcelo D. Grynberg, Marcelo D Grynberg +2 · 1 citation
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Nonlinear Photonic Systems #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.1088/0953-8984/19/6/065112
published as J. Phys. Condens. Matter 19, 065112 (2007) · 10 pages, 6 figures. Slight corrections, one added reference. To appear in J. Phys. Cond. Matt. (2007). Special issue on chemical kinetics
arxiv created 2006/12/18 · openalex publication_date 2007/01/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.