IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v309y2002i1p79-84.html
   My bibliography  Save this article

Exact result vs. dynamic renormalization group analysis for the non-local Kardar–Parisi–Zhang equation

Author

Listed:
  • Katzav, Eytan

Abstract

In this paper I discuss a generalization of the well-known Kardar–Parisi–Zhang (KPZ) equation that includes long-range interactions. This Non-local Kardar–Parisi–Zhang (NKPZ) equation has been suggested in the past to describe physical phenomena such as burning paper or deposition of colloids. I show that the steady state strong coupling solution for a subfamily of the NKPZ models can be solved exactly in one dimension, using the Fokker–Planck form of the equation, and yields a Gaussian distribution. This exact result does not agree with a previous result obtained by dynamic renormalization group (DRG) analysis. The reasons for this disagreement are not yet clear.

Suggested Citation

  • Katzav, Eytan, 2002. "Exact result vs. dynamic renormalization group analysis for the non-local Kardar–Parisi–Zhang equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 309(1), pages 79-84.
  • Handle: RePEc:eee:phsmap:v:309:y:2002:i:1:p:79-84
    DOI: 10.1016/S0378-4371(02)00597-6
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437102005976
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

    File URL: https://libkey.io/10.1016/S0378-4371(02)00597-6?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

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

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Katzav, Eytan, 2013. "Fixing the fixed-point system—Applying Dynamic Renormalization Group to systems with long-range interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(8), pages 1750-1755.
    2. Lu, Xinyu & Hao, Dapeng & Xia, Hui, 2022. "Kinetic roughening in the nonlocal Kardar–Parisi–Zhang growth: Pseudospectral versus finite difference schemes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).

    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:phsmap:v:309:y:2002:i:1:p:79-84. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.