IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v216y1995i1p1-19.html
   My bibliography  Save this article

Diffusion on random comblike structures: field-induced trapping effects

Author

Listed:
  • Pottier, Noëlle

Abstract

An analytic study of diffusion in random comblike structures in which field-induced trapping effects enter into play is presented. In order to mimic at best a percolation cluster above pc, the distribution of the lengths of the branches is taken as exponential. The branches act as traps of efficiency growing with the applied bias. The asymptotic behaviour at large time of the probability of presence of the particle at its initial site and on the backbone, and of its position and dispersion are computed in an exact manner. As a result, when the field exceeds a certain critical value, anomalous behaviours emerge, characterized by exponents depending continuously on the field.

Suggested Citation

  • Pottier, Noëlle, 1995. "Diffusion on random comblike structures: field-induced trapping effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 216(1), pages 1-19.
    • Handle: RePEc:eee:phsmap:v:216:y:1995:i:1:p:1-19
    DOI: 10.1016/0378-4371(95)00037-8
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437195000378
    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/10.1016/0378-4371(95)00037-8?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.

    References listed on IDEAS

    as
    1. Aslangul, C. & Pottier, N. & Chvosta, P., 1994. "Analytic study of a model of diffusion on a random comblike structure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 203(3), pages 533-565.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Kotak, Jesal D. & Barma, Mustansir, 2022. "Bias induced drift and trapping on random combs and the Bethe lattice: Fluctuation regime and first order phase transitions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 597(C).

    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. Pottier, N., 1994. "Analytic study of a model of biased diffusion on a random comblike structure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 208(1), pages 91-123.
    2. Kotak, Jesal D. & Barma, Mustansir, 2022. "Bias induced drift and trapping on random combs and the Bethe lattice: Fluctuation regime and first order phase transitions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 597(C).

    More about this item

    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:eee:phsmap:v:216:y:1995:i:1:p:1-19. 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.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.