IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v392y2013i4p680-688.html
   My bibliography  Save this article

Residual entropy of ice nanotubes and ice layers

Author

Listed:
  • Kirov, Mikhail V.

Abstract

A relatively simple algorithm is presented for the complete enumeration of all H-bond networks in finite fragments of ice nanotubes and ice layers with periodic boundary conditions. This algorithm is based on the well-known transfer matrix method and it includes a convenient procedure for calculation of the elements of transfer matrices themselves. To facilitate this, it is necessary to specify only very small local matrices of sizes 2×2 or 4×4. We present exhaustive statistics of H-bonds arrangements for finite-size zigzag- and armchair-like ice nanotubes, for the fragments of hexagonal monolayer and bilayer and also for ice nanotubes consisting of stacked n-membered rings. Using the new algorithm, we have also calculated the specific residual entropy for the infinite two-dimensional lattices. The agreement with the well-known solution for a square ice model demonstrates the reliability of the obtained results.

Suggested Citation

  • Kirov, Mikhail V., 2013. "Residual entropy of ice nanotubes and ice layers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 680-688.
  • Handle: RePEc:eee:phsmap:v:392:y:2013:i:4:p:680-688 DOI: 10.1016/j.physa.2012.10.041
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437112009557
    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

    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. Jean-Pierre Nadal & Denis Phan & Mirta Gordon & Jean Vannimenus, 2005. "Multiple equilibria in a monopoly market with heterogeneous agents and externalities," Quantitative Finance, Taylor & Francis Journals, pages 557-568.
    2. D. Stauffer & S. Solomon, 2007. "Ising, Schelling and self-organising segregation," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 57(4), pages 473-479, June.
    3. Le Breton, Michel & Weber, Shlomo, 2011. "Games of social interactions with local and global externalities," Economics Letters, Elsevier, vol. 111(1), pages 88-90, April.
    4. Jean-Michel Dalle, 1997. "Heterogeneity vs. externalities in technological competition: A tale of possible technological landscapes," Journal of Evolutionary Economics, Springer, vol. 7(4), pages 395-413.
    5. Quentin Michard & Jean-Philippe Bouchaud, 2005. "Theory of collective opinion shifts: from smooth trends to abrupt swings," Science & Finance (CFM) working paper archive 500060, Science & Finance, Capital Fund Management.
    6. Denis Phan, 2006. "Discrete Choices under Social Influence:Generic Properties," Post-Print halshs-00105857, HAL.
    7. Masaki Tomochi & Hiroaki Murata & Mitsuo Kono, 2005. "A consumer-based model of competitive diffusion: the multiplicative effects of global and local network externalities," Journal of Evolutionary Economics, Springer, vol. 15(3), pages 273-295, August.
    8. Solomon, Sorin & Weisbuch, Gerard & de Arcangelis, Lucilla & Jan, Naeem & Stauffer, Dietrich, 2000. "Social percolation models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 277(1), pages 239-247.
    9. Sebastian Goncalves & M. F. Laguna & J. R. Iglesias, 2012. "Why, when, and how fast innovations are adopted," Papers 1208.2589, arXiv.org.
    10. Simona Cantono & Gerald Silverberg, 2008. "A percolation model of eco-innovation diffusion: the relationship between diffusion, learning economies and subsidies," MERIT Working Papers 025, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
    Full references (including those not matched with items on IDEAS)

    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:392:y:2013:i:4:p:680-688. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dana Niculescu). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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 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.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.