IDEAS home Printed from https://ideas.repec.org/a/eee/spapps/v115y2005i9p1451-1474.html
   My bibliography  Save this article

Regularity of diffusion coefficient for nearest neighbor asymmetric simple exclusion on

Author

Listed:
  • Beltrán, Johel

Abstract

We consider the nearest neighbor asymmetric exclusion process on , in which particles jump with probability p(1) to the right and p(-1) to the left. Let q=p(1)/p(-1) and denote by [nu]q an ergodic component of the reversible Bernoulli product measure which places a particle at x with probability qx/(1+qx). It is well known that under some hypotheses on a local function V, converges to a normal distribution with variance [sigma]2=[sigma]2(q), which depends on q. We prove in this article that [sigma]2(q) is a C[infinity] function of q on (0,1).

Suggested Citation

  • Beltrán, Johel, 2005. "Regularity of diffusion coefficient for nearest neighbor asymmetric simple exclusion on," Stochastic Processes and their Applications, Elsevier, vol. 115(9), pages 1451-1474, September.
    • Handle: RePEc:eee:spapps:v:115:y:2005:i:9:p:1451-1474
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304-4149(05)00057-8
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Bernardin, Cédric, 2002. "Regularity of the diffusion coefficient for lattice gas reversible under Bernoulli measures," Stochastic Processes and their Applications, Elsevier, vol. 101(1), pages 43-68, September.
    2. Benjamini, I. & Ferrari, P. A. & Landim, C., 1996. "Asymmetric conservative processes with random rates," Stochastic Processes and their Applications, Elsevier, vol. 61(2), pages 181-204, February.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Gielis, G. & Koukkous, A. & Landim, C., 1998. "Equilibrium fluctuations for zero range processes in random environment," Stochastic Processes and their Applications, Elsevier, vol. 77(2), pages 187-205, September.
    2. Andjel, E. D. & Ferrari, P. A. & Guiol, H. & Landim *, C., 2000. "Convergence to the maximal invariant measure for a zero-range process with random rates," Stochastic Processes and their Applications, Elsevier, vol. 90(1), pages 67-81, November.
    3. Nagahata, Yukio, 2006. "Regularity of the diffusion coefficient matrix for generalized exclusion process," Stochastic Processes and their Applications, Elsevier, vol. 116(6), pages 957-982, June.
    4. Großkinsky, Stefan, 2008. "Equivalence of ensembles for two-species zero-range invariant measures," Stochastic Processes and their Applications, Elsevier, vol. 118(8), pages 1322-1350, August.
    5. Belitsky, V. & Schütz, G.M., 2018. "Self-duality and shock dynamics in the n-species priority ASEP," Stochastic Processes and their Applications, Elsevier, vol. 128(4), pages 1165-1207.
    6. Koukkous, A., 1999. "Hydrodynamic behavior of symmetric zero-range processes with random rates," Stochastic Processes and their Applications, Elsevier, vol. 84(2), pages 297-312, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:spapps:v:115:y:2005:i:9:p:1451-1474. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/505572/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.