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Microscopic structure of the k-step¶exclusion process

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Bulletin of the Brazilian Mathematical Society Aims and scope Submit manuscript

Abstract.

We review the hydrodynamics and discuss the shock, rarefaction fan and contact discontinuity at a microscopic level for a one-dimensional totally asymmetric k-step exclusion process. In particular we define a microscopical object that identifies the shock in the decreasing case.

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Authors and Affiliations

  1. IME-USP, Caixa Postal 66.281¶05311-970, São Paulo, SP¶BRASIL, , , , , , BR

    M. V. Freire

  2. IMA, EPFL¶Lausanne, CH 1015¶SUISSE, , , , , , CH

    H. Guiol

  3. Dep. of Mathematics, SUNY, College at New Paltz, NY, 12561, USA, , , , , , US

    K. Ravishankar

  4. CNRS, UMR 6085, Univ. Rouen, Site Colbert, 76821 Mont Saint Aignan, Cedex, FRANCE, , , , , , FR

    E. Saada

Authors
  1. M. V. Freire
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  2. H. Guiol
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  3. K. Ravishankar
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  4. E. Saada
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Received: 9 April 2002

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Freire, M., Guiol, H., Ravishankar, K. et al. Microscopic structure of the k-step¶exclusion process. Bull Braz Math Soc 33, 319–339 (2002). https://doi.org/10.1007/s005740200017

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  • DOI: https://doi.org/10.1007/s005740200017

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