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Exact results for the one dimensional asymmetric exclusion model

Author

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  • Derrida, B.
  • Evans, M.R.
  • Hakim, V.
  • Pasquier, V.

Abstract

The asymmetric exclusion model describes a system of particles hopping in a preferred direction with hard core repulsion. These particles can be thought of as charged particles in a field, as steps of an interface, as cars in a queue. Several exact results concerning the steady state of this system have been obtained recently. The solution consists of representing the weights of the configurations in the steady state as products of non-commuting matrices.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:200:y:1993:i:1:p:25-33
    DOI: 10.1016/0378-4371(93)90501-T
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    1. Nadal, Jordi, 1983. "Los Bonaplata, Tres generaciones de industriales Catalanes en la España del siglo XIX," Revista de Historia Económica / Journal of Iberian and Latin American Economic History, Cambridge University Press, vol. 1(1), pages 79-95, March.
    2. Lebowitz, M.A., 1992. "Analytical Marxism and the Marxian Theory of Crisis," Discussion Papers dp92-05, Department of Economics, Simon Fraser University.
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    Cited by:

    1. Nagatani, Takashi, 1994. "Dynamical jamming transition induced by a car accident in traffic-flow model of a two-lane roadway," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 202(3), pages 449-458.
    2. Barkema, G.T. & Newman, M.E.J., 1997. "The repton model of gel electrophoresis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 244(1), pages 25-39.
    3. Nagatani, Takashi, 1995. "Self-organized criticality in asymmetric exclusion model with noise for freeway traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 218(1), pages 145-154.
    4. Stinchcombe, R.B., 1996. "Stochastic non-equilibrium systems and quantum spin models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 224(1), pages 248-253.
    5. 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.
    6. Nagatani, Takashi & Seno, Tadachika, 1994. "Traffic jam induced by a crosscut road in a traffic-flow model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 207(4), pages 574-583.

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