Skip to main content

Advertisement

SpringerLink
Log in
Menu
Find a journal Publish with us
Search
Cart
  1. Home
  2. Probability Theory and Related Fields
  3. Article
Hydrodynamical limit for spatially heterogeneous simple exclusion processes
Download PDF
Download PDF
  • Article
  • Published: March 1998

Hydrodynamical limit for spatially heterogeneous simple exclusion processes

  • C. Bahadoran1 

Probability Theory and Related Fields volume 110, pages 287–331 (1998)Cite this article

  • 108 Accesses

  • 10 Citations

  • Metrics details

Summary.

We prove hydrodynamical limit for spatially heterogeneous, asymmetric simple exclusion processes on Z d. The jump rate of particles depends on the macroscopic position x through some nonnegative, smooth velocity profile α(x). Hydrodynamics are described by the entropy solution to a spatially heterogeneous conservation law of the form

To derive this result, we prove an alternative characterization of entropy solutions involving stationary solutions, and work with macroscopically stationary states rather than the unknown stationary measures of the process. The method can be extended to spatially heterogeneous, asymmetric misanthrope processes with slow birth and death.

Download to read the full article text

Working on a manuscript?

Avoid the common mistakes

Author information

Authors and Affiliations

  1. Ecole Polytechnique, Centre de Mathématiques Appliquées, F-91128, Palaiseau, France e-mail: bahador@cmapx.polytechnique.fr, , , , , , FR

    C. Bahadoran

Authors
  1. C. Bahadoran
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 11 November 1996/In revised form: 10 October 1997

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Bahadoran, C. Hydrodynamical limit for spatially heterogeneous simple exclusion processes. Probab Theory Relat Fields 110, 287–331 (1998). https://doi.org/10.1007/s004400050150

Download citation

  • Issue Date: March 1998

  • DOI: https://doi.org/10.1007/s004400050150

Share this article

Anyone you share the following link with will be able to read this content:

Sorry, a shareable link is not currently available for this article.

Provided by the Springer Nature SharedIt content-sharing initiative

  • Mathematics Subject Classification (1991): 60K35
  • 82C22
Download PDF

Working on a manuscript?

Avoid the common mistakes

Advertisement

Search

Navigation

  • Find a journal
  • Publish with us

Discover content

  • Journals A-Z
  • Books A-Z

Publish with us

  • Publish your research
  • Open access publishing

Products and services

  • Our products
  • Librarians
  • Societies
  • Partners and advertisers

Our imprints

  • Springer
  • Nature Portfolio
  • BMC
  • Palgrave Macmillan
  • Apress
  • Your US state privacy rights
  • Accessibility statement
  • Terms and conditions
  • Privacy policy
  • Help and support

167.114.118.210

Not affiliated

Springer Nature

© 2023 Springer Nature