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Hydrodynamic Equation of Symmetric Simple Exclusion Processes

  • Chapter
Scaling Limits of Interacting Particle Systems

Part of the book series: Grundlehren der mathematischen Wissenschaften ((GL,volume 320))

  • 2004 Accesses

Abstract

In this chapter we prove the hydrodynamic behavior of nearest neighbor symmetric simple exclusion processes and show that the hydrodynamic equation is the heat equation:

$${\partial _t}\rho = \left( {1/2} \right)\Delta \rho .$$

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Author information

Authors and Affiliations

  1. Instituto de Matematica Pura e Aplicada, Estrada Dona Castorina 110, 22460-320, Rio de Janeiro, Brasil

    Claude Kipnis & Claudio Landim

  2. CNRS UPRES-A 6085, Université de Rouen, F-76128, Mont Saint Aignan Cedex, France

    Claude Kipnis & Claudio Landim

Authors
  1. Claude Kipnis
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  2. Claudio Landim
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© 1999 Springer-Verlag Berlin Heidelberg

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Kipnis, C., Landim, C. (1999). Hydrodynamic Equation of Symmetric Simple Exclusion Processes. In: Scaling Limits of Interacting Particle Systems. Grundlehren der mathematischen Wissenschaften, vol 320. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03752-2_5

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  • DOI: https://doi.org/10.1007/978-3-662-03752-2_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-08444-7

  • Online ISBN: 978-3-662-03752-2

  • eBook Packages: Springer Book Archive

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