Coherent-Anomaly Method in Polymer Physics

  • Xiao Hu
  • M. Suzuki
Conference paper
Part of the Springer Series in Synergetics book series (SSSYN, volume 43)


A coherent-anomaly method (CAM) in cooperative phenomena has been proposed by SUZUKI [1,2,3]. Here in this article, we report an application of this new theory to self-avoiding walk problem (SAW)[4]. SAW has been introduced as a model of linear polymer chain in good solvents, and takes into account the excluded volume effect. We investigate one of the most interesting aspects of SAW, namely the asymptotic behavior of the total number of N-step SAWs.


Markov Process Asymptotic Formula Fixed Curve Classical Approximation Envelope Curve 
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    M. Katori and M. Suzuki: J.Phys.Soc.Jpn. 57 (1988) 807.CrossRefADSMathSciNetGoogle Scholar
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    X. Hu and M. Suzuki: Physica A150 (1988) 310.CrossRefGoogle Scholar
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    C. Domb and F.T. Hioe: J.Phys. C3 (1970) 2223.ADSGoogle Scholar

Copyright information

© Springer-Verlag Berlin, Heidelberg 1989

Authors and Affiliations

  • Xiao Hu
    • 1
  • M. Suzuki
    • 1
  1. 1.Department of Physics, Faculty of ScienceUniversity of TokyoBunkyo-ku, TokyoJapan

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