IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v232y1996i1p145-161.html
   My bibliography  Save this article

Anomalous non-gaussian diffusion in small disordered rings

Author

Listed:
  • Smirnov, Anatoly Yu.
  • Dubkov, Alexander A.

Abstract

We analyze an equilibrium classical diffusion of a Brownian particle confined to a ring coated on a two-dimensional disordered film. The random potential modeling the interaction with the inhomogeneous medium is assumed to be Gaussian with a finite correlation length. With a microscopic method, we derive the second and fourth cumulant function of the particle's displacement at large times. It is shown that the disorder gives rise to a quadratic time dependence of the fourth cumulant (anomalous non-Gaussian diffusion), whereas the usual diffusion covered by the second cumulant remains normal. This points to the fact that the motion of a Brownian particle along the disordered ring is attended by nonergodic fluctuations in its diffusion coefficient.

Suggested Citation

  • Smirnov, Anatoly Yu. & Dubkov, Alexander A., 1996. "Anomalous non-gaussian diffusion in small disordered rings," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 232(1), pages 145-161.
    • Handle: RePEc:eee:phsmap:v:232:y:1996:i:1:p:145-161
    DOI: 10.1016/0378-4371(96)00042-8
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437196000428
    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(96)00042-8?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. Nelkin, Dorothy & Brown, Michael S., 1984. "Workers At Risk," University of Chicago Press Economics Books, University of Chicago Press, number 9780226571270, November.
    2. Nelkin, Dorothy, 1981. "Some Social and Political Dimensions of Nuclear Power: Examples from Three Mile Island," American Political Science Review, Cambridge University Press, vol. 75(1), pages 132-142, March.
    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. Nieuwenhuizen, Th.M., 1989. "Dynamical properties of 2D systems with site disorder," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 157(3), pages 1101-1138.
    2. Alejandro Donado, 2015. "Why Do Unionized Workers Have More Nonfatal Occupational Injuries?," ILR Review, Cornell University, ILR School, vol. 68(1), pages 153-183, January.
    3. Brown, Judy, 2009. "Democracy, sustainability and dialogic accounting technologies: Taking pluralism seriously," CRITICAL PERSPECTIVES ON ACCOUNTING, Elsevier, vol. 20(3), pages 313-342.
    4. Fremeth, Adam R. & Holburn, Guy L. F. & Piazza, Alessandro, 2021. "Activist Protest Spillovers into the Regulatory Domain: Theory and Evidence from the U.S. Nuclear Power Generation Industry," OSF Preprints s39h2, Center for Open Science.
    5. Vivienne Walters & Ted Haines, 1988. "Workers' Use and Knowledge of the 'Internal Responsibility System': Limits to Participation in Occupational Health and Safety," Canadian Public Policy, University of Toronto Press, vol. 14(4), pages 411-423, December.
    6. Alessandro Piazza & Fabrizio Perretti, 2020. "Firm behavior and the evolution of activism: Strategic decisions and the emergence of protest in US communities," Strategic Management Journal, Wiley Blackwell, vol. 41(4), pages 681-707, April.
    7. Alan Hall & Rebecca Hall & Nicole Bernhardt, 2022. "Dealing with ‘vulnerable workers’ in precarious employment: Front-line constraints and strategies in employment standards enforcement," Economic and Industrial Democracy, Department of Economic History, Uppsala University, Sweden, vol. 43(1), pages 469-494, February.
    8. Piazza, Alessandro & Perretti, Fabrizio, 2019. "Firm Behavior and the Evolution of Activism: Strategic Decisions and the Emergence of Protest in U.S. Communities," OSF Preprints dnhgw, Center for Open Science.

    More about this item

    Keywords

    Brownian motion; Anomalous diffusion;

    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:232:y:1996:i:1:p:145-161. 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.