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Exact Solution of 1D Asymmetric Exclusion Model with Variable Cluster Size

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Abstract

An one dimensional model for an open system with two kinds of particles which are driven in opposite directions by an external field is suggested. An exact solution for a steady state is given for the low density regime and it is shown that the model possesses what might be considered a phase transition from a gaseous to a liquid state. The relation to models with a fixed number of particles on a ring is discussed.

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Authors and Affiliations

  1. Department of Chemistry, H C Ørsted Institute, University of Copenhagen, Universitetsparken 5, DK-2100, Copenhagen Ø, Denmark

    Ole J. Heilmann

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  1. Ole J. Heilmann
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Heilmann, O.J. Exact Solution of 1D Asymmetric Exclusion Model with Variable Cluster Size. Journal of Statistical Physics 116, 855–879 (2004). https://doi.org/10.1023/B:JOSS.0000037248.12745.fa

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  • DOI: https://doi.org/10.1023/B:JOSS.0000037248.12745.fa

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