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Exact solutions for a partially asymmetric exclusion model with two species

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  • Kolomeisky, Anatoly B.

Abstract

We present a partially asymmetric exclusion model with two species. It consists of a one-dimensional lattice with two types of particles hopping with different rates in both directions. Exact solutions are given for some values of the parameters. A phase diagram is constructed. The model is found to show two phases, one of them a phase with a maximal current of the particles.

Suggested Citation

  • Kolomeisky, Anatoly B., 1997. "Exact solutions for a partially asymmetric exclusion model with two species," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 245(3), pages 523-533.
    • Handle: RePEc:eee:phsmap:v:245:y:1997:i:3:p:523-533
    DOI: 10.1016/S0378-4371(97)00332-4
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    References listed on IDEAS

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    1. Derrida, B. & Evans, M.R. & Hakim, V. & Pasquier, V., 1993. "Exact results for the one dimensional asymmetric exclusion model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 200(1), pages 25-33.
    2. Nutting, P.A. & Freeman, W.L. & Risser, D.R. & Helgerson, S.D. & Paisano, R. & Hisnanick, J. & Beaver, S.K. & Peters, I. & Carney, J.P. & Speers, M.A., 1993. "Cancer incidence among American Indians and Alaska Natives, 1980 through 1987," American Journal of Public Health, American Public Health Association, vol. 83(11), pages 1589-1598.
    3. Rickert, M. & Nagel, K. & Schreckenberg, M. & Latour, A., 1996. "Two lane traffic simulations using cellular automata," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 231(4), pages 534-550.
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    Cited by:

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    2. Gupta, Ankita & Gupta, Arvind Kumar, 2024. "Reservoir crowding in a dynamically disordered bidirectional system with narrow entrances," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).

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