IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v14y2003i05ns0129183103004802.html
   My bibliography  Save this article

Monte Carlo Investigation Of Lattice Models Of Polymer Collapse In Five Dimensions

Author

Listed:
  • A. L. OWCZAREK

    (Department of Mathematics and Statistics, The University of Melbourne, 3010, Australia)

  • T. PRELLBERG

    (Institut für Theoretische Physik, Technische Universität Clausthal, Arnold Sommerfeld Straße 6, D-38678 Clausthal-Zellerfeld, Germany)

Abstract

Monte Carlo simulations, using the PERM algorithm, of interacting self-avoiding walks (ISAW) and interacting self-avoiding trails (ISAT) in five dimensions are presented which locate the collapse phase transition in those models. It is argued that the appearance of a transition (at least) as strong as apseudo-first-ordertransition occurs in both models. The values of various theoretically-conjectured dimension-dependent exponents are shown to be consistent with the data obtained. Indeed the first-order nature of the transition is even stronger in five dimensions than four. The agreement with the theory is better for ISAW than ISAT and it cannot be ruled out that ISAT have a true first-order transition in dimension five. This latter difference would be intriguing if true. On the other hand, since simulations are more difficult for ISAT than ISAW at this transition in high dimensions, any discrepancy may well be due to the inability of the simulations to reach the true asymptotic regime.

Suggested Citation

  • A. L. Owczarek & T. Prellberg, 2003. "Monte Carlo Investigation Of Lattice Models Of Polymer Collapse In Five Dimensions," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(05), pages 621-633.
  • Handle: RePEc:wsi:ijmpcx:v:14:y:2003:i:05:n:s0129183103004802
    DOI: 10.1142/S0129183103004802
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183103004802
    Download Restriction: Access to full text is restricted to subscribers

    File URL: https://libkey.io/10.1142/S0129183103004802?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. Perez, A.A, 2001. "Comment on “On the multinomial logic model” [Physica A 269 (1999) 9–15]," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 289(3), pages 606-606.
    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. Rouhang Chen & Bing Qiu & Chaoying Zhang & Lingjiang Kong & Muren Liu, 2007. "A Study On The Evacuation Of People In A Hall Using The Cellular Automaton Model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(03), pages 359-367.
    2. Bing Qiu & Huili Tan & Chaoying Zhang & Lingjiang Kong & Muren Liu, 2005. "Cellular Automaton Simulation Of The Escaping Pedestrian Flow In Corridor," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(02), pages 225-235.
    3. M. Ausloos & R. Lambiotte & A. Scharnhorst & I. Hellsten, 2008. "Andrzej Pȩkalski Networks Of Scientific Interests With Internal Degrees Of Freedom Through Self-Citation Analysis," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(03), pages 371-384.
    4. Tetsuya Takaishi, 2005. "Simulations Of Financial Markets In A Potts-Like Model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(08), pages 1311-1317.
    5. G. Corso & L. S. Lucena & Z. D. Thomé, 2003. "Are Social Structures Determined By The Economy?," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(01), pages 73-80.
    6. Denis Horváth & Martin Gmitra, 2004. "The Self-Organized Multi-Lattice Monte Carlo Simulation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 15(09), pages 1249-1268.
    7. G. R. Jafari & A. Bahraminasab & P. Norouzzadeh, 2007. "Why Does The Standard Garch(1, 1) Model Work Well?," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(07), pages 1223-1230.
    8. Fan Jia & Di Xie, 2011. "Dempster–Shafer Evidence Theory-Based Updating Rule For Continuous Opinions And Discrete Actions," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 22(06), pages 595-606.
    9. Takashi Shimada & Satoshi Yukawa & Nobuyasu Ito, 2003. "LIFE-SPAN OF FAMILIES IN FOSSIL DATA FORMSq-EXPONENTIAL DISTRIBUTION," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(09), pages 1267-1271.
    10. A. L. Ferreira & E. L. Prodanescu, 2005. "Fisher Scaling In Two-Dimensional Ising Magnetic Lattice-Gas," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(01), pages 45-60.
    11. J. R. R. Duarte & M. L. Lyra, 2010. "Optimal Directed Current Of A Brownian Motor Under A Non-Gaussian Noise Generated By A Multiplicative Process," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 21(06), pages 757-767.
    12. Junghoon Lee & Janghyuk Youn & Woojin Chang, 2011. "Market Impact And Order Book Characteristics In The Korean Futures Market," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 22(11), pages 1269-1279.
    13. Artur Cristea & Victor Sofonea, 2003. "Reduction Of Spurious Velocity In Finite Difference Lattice Boltzmann Models For Liquid–Vapor Systems," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(09), pages 1251-1266.
    14. Mingfeng He & Pu Li & Changquan Ni, 2006. "Model Odor-Oriented Predators And Prey," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 17(05), pages 711-720.
    15. Ismael Martínez-Martínez & Ricardo López-Ruiz, 2013. "Directed Random Markets: Connectivity Determines Money," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 24(01), pages 1-14.
    16. Victor Sofonea & Robert F. Sekerka, 2005. "Diffusivity Of Two-Component Isothermal Finite Difference Lattice Boltzmann Models," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(07), pages 1075-1090.
    17. Ph. Bronlet & M. Ausloos, 2003. "GENERALIZED(m, k)-ZipfLAW FOR FRACTIONAL BROWNIAN MOTION-LIKE TIME SERIES WITH OR WITHOUT EFFECT OF AN ADDITIONAL LINEAR TREND," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(03), pages 351-365.
    18. Carmen Pellicer-Lostao & Ricardo Lopez-Ruiz, 2011. "Transition From Exponential To Power Law Income Distributions In A Chaotic Market," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 22(01), pages 21-33.
    19. Mingfeng He & Hongbo Ruan & Changliang Yu, 2003. "A Predator–Prey Model Based On The Fully Parallel Cellular Automata," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(09), pages 1237-1249.
    20. J. F. L. Freitas & M. L. Lyra, 2003. "Optimal Transition Rate And Stochastic Resonance In A Bistable System Driven By Power-Law Noise," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(03), pages 303-310.

    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:wsi:ijmpcx:v:14:y:2003:i:05:n:s0129183103004802. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijmpc/ijmpc.shtml .

    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.