IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v545y2020ics0378437119320448.html
   My bibliography  Save this article

How the overlap of excluded volume determines the configurational energy landscape and “thermodynamics” in the “one to five hard disks in a box” system

Author

Listed:
  • Huerta, Adrián
  • Toledo-Marín, J. Quetzalcóatl
  • Naumis, Gerardo G.

Abstract

In this work, the effects of excluded volume are studied in the “one to five hard disks in a box” system, based in writing an exact equation of state in which the excluded volume overlap is related with the spare volume. For one and two disks in different types of cages, the attractive and repulsive forces are calculated analytically. These attractive forces are due to excluded volume overlap allowing second neighbors to have an effective interaction, a fact that is usually neglected when considering only collisions with first-neighbors. The same effects are observed for numerical computations with five-disks in a box, as the distributions of distances between disks and disks to walls suggest. Also, numerically exact equations of state are presented for the one to five hard disks in a box system from a direct-sampling Monte Carlo procedure. All these results indicate that first and second-neighbor excluded volume interactions are essential to determine the energy landscape topology. This work supports previous observations which suggests that second-neighbor excluded volume interactions in hard-core systems are related with phase transitions.

Suggested Citation

  • Huerta, Adrián & Toledo-Marín, J. Quetzalcóatl & Naumis, Gerardo G., 2020. "How the overlap of excluded volume determines the configurational energy landscape and “thermodynamics” in the “one to five hard disks in a box” system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    • Handle: RePEc:eee:phsmap:v:545:y:2020:i:c:s0378437119320448
    DOI: 10.1016/j.physa.2019.123666
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437119320448
    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/j.physa.2019.123666?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. Bowles, Richard K. & Speedy, Robin J., 1999. "Five discs in a box," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 262(1), pages 76-87.
    2. Yufeng Wang & Yu Wang & Dana R. Breed & Vinothan N. Manoharan & Lang Feng & Andrew D. Hollingsworth & Marcus Weck & David J. Pine, 2012. "Colloids with valence and specific directional bonding," Nature, Nature, vol. 491(7422), pages 51-55, November.
    3. Speedy, Robin J., 1994. "Two disks in a box," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 210(3), pages 341-351.
    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. Hoover, W.G., 1995. "Comment on “Two disks in a box” [R.J. Speedy, Physica A 210 (1994) 341]," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 216(1), pages 195-195.

    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:545:y:2020:i:c:s0378437119320448. 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.