IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v127y1984i3p659-666.html
   My bibliography  Save this article

Biased random walk on a multidimensional lattice with absorbing boundaries

Author

Listed:
  • Prasad, M.A.
  • Unnikrishnan, K.

Abstract

This paper deals with continuous-time random walk on a hypercubic lattice with absorbing boundaries along the axial planes through the origin. Possible bias in the transition probabilities along any axis is allowed for. Any dynamical model which is solvable in the case of an infinite lattice is shown to be tractable also in the present case. As an example, the exponential holding time model is solved explicitly. Representative numerical results for the probability of return to the starting point and the probability of absorption are presented for the one-dimensional case. It is found that, unlike the absorption which increases with bias towards the boundary, the return probability is independent of the direction of the bias.

Suggested Citation

  • Prasad, M.A. & Unnikrishnan, K., 1984. "Biased random walk on a multidimensional lattice with absorbing boundaries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 127(3), pages 659-666.
    • Handle: RePEc:eee:phsmap:v:127:y:1984:i:3:p:659-666
    DOI: 10.1016/0378-4371(84)90049-9
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437184900499
    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(84)90049-9?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. James S. Plaxico & Daryll E. Ray, 1973. "Implications for Agricultural Economists," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 55(3), pages 399-403.
    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. Masoliver, Jaume & Lindenberg, Katja & Weiss, George H., 1989. "A continuous-time generalization of the persistent random walk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 157(2), pages 891-898.
    2. Halpern, V., 1996. "Anti-persistent correlated random walks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 223(3), pages 329-336.
    3. Shibata, Fumiaki & Ezaki, Hiromi, 1988. "Expansion formulae for time-correlation functions and transport coefficients," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 149(3), pages 472-506.
    4. Cáceres, Manuel O. & Reyes, Eduardo R., 1996. "AC conductivity in dispersed ionic conductors: the effective medium approximation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 227(3), pages 277-290.
    5. Kehr, K.W. & Haus, J.W., 1978. "On the equivalence between multistate-trapping and continuous-time random walk models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 93(3), pages 412-426.

    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:127:y:1984:i:3:p:659-666. 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.