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Nonequilibrium fluctuations for a tagged particle in mean-zero one-dimensional zero-range processes
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  • Published: 05 September 2008

Nonequilibrium fluctuations for a tagged particle in mean-zero one-dimensional zero-range processes

  • M. D. Jara1,
  • C. Landim1,2 &
  • S. Sethuraman3 

Probability Theory and Related Fields volume 145, pages 565–590 (2009)Cite this article

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Abstract

We prove a non-equilibrium functional central limit theorem for the position of a tagged particle in mean-zero one-dimensional zero-range process. The asymptotic behavior of the tagged particle is described by a stochastic differential equation governed by the solution of the hydrodynamic equation.

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Author information

Authors and Affiliations

  1. IMPA, Estrada Dona Castorina 110, Rio de Janeiro, CEP, 22460, Brazil

    M. D. Jara & C. Landim

  2. CNRS UMR 6085, Avenue de l’Université, Technopôle du Madrillet, BP 12, 76801, Saint-Étienne-du-Rouvray, France

    C. Landim

  3. Department of Mathematics, Iowa State University, 396 Carver Hall, Ames, IA, 50011, USA

    S. Sethuraman

Authors
  1. M. D. Jara
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  2. C. Landim
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  3. S. Sethuraman
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Corresponding author

Correspondence to M. D. Jara.

Additional information

C. Landim was partially supported by the John S. Guggenheim Memorial Foundation, FAPERJ and CNPq; M.D. Jara and S. Sethuraman were partially supported by NSA-H982300510041 and NSF-DMS-0504193.

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Cite this article

Jara, M.D., Landim, C. & Sethuraman, S. Nonequilibrium fluctuations for a tagged particle in mean-zero one-dimensional zero-range processes. Probab. Theory Relat. Fields 145, 565–590 (2009). https://doi.org/10.1007/s00440-008-0178-2

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  • Received: 07 March 2008

  • Revised: 24 July 2008

  • Published: 05 September 2008

  • Issue Date: November 2009

  • DOI: https://doi.org/10.1007/s00440-008-0178-2

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Keywords

  • Hydrodynamic limit
  • Tagged particle
  • Scaling limit
  • Nonequilibrium

Mathematics Subject Classification (2000)

  • Primary: 60K35
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