Directed diffusion of reconstituting dimers

Details Directed diffusion of reconstituting dimers Directed diffusion of reconstituting dimers

2006-09-02

arxiv.org/abs/cond-mat/0609041v2

J. Phys. Condens. Matter 19, 065112 (2007)

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1088/0953-8984/19/6/065112

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.

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