IDEAS home Printed from https://ideas.repec.org/a/spr/eurphb/v62y2008i2p209-214.html
   My bibliography  Save this article

Average crossing number of Gaussian and equilateral chains with and without excluded volume

Author

Listed:
  • P. M. Diesinger
  • D. W. Heermann

Abstract

We study the influence of excluded volume interactions on the behaviour of the mean average crossing number (mACN) for random off-lattice walks. We investigated Gaussian and equilateral off-lattice random walks with and without ellipsoidal excluded volume up to chain lengths of N=1500 and equilateral random walks on a cubic lattice up to N=20000. We find that the excluded volume interactions have a strong influence on the behaviour of the local crossing number 〈 a(l 1 ,l 2 ) 〉 at very short distances but only a weak one at large distances. This behaviour is the basis of the proof in [ Y. Diao et al., Math. Gen. 36, 11561 (2003); Y. Diao and C. Ernst, Physical and Numerical Models in Knot Theory Including Applications to the Life Sciences] for the dependence of the mean average crossing number on the chain length N. We show that the data is compatible with an Nln(N)-bahaviour for the mACN, even in the case with excluded volume. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2008

Suggested Citation

  • P. M. Diesinger & D. W. Heermann, 2008. "Average crossing number of Gaussian and equilateral chains with and without excluded volume," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 62(2), pages 209-214, March.
    • Handle: RePEc:spr:eurphb:v:62:y:2008:i:2:p:209-214
    DOI: 10.1140/epjb/e2008-00145-6
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1140/epjb/e2008-00145-6
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1140/epjb/e2008-00145-6?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.

    More about this item

    Keywords

    61.82.Pv Polymers; organic compounds;

    Statistics

    Access and download statistics

    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:spr:eurphb:v:62:y:2008:i:2:p:209-214. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.