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On the critical behaviour of a surface interacting linear polymer chain

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  • Kumar, Sanjay
  • Singh, Yashwant

Abstract

A method based on a real space renormalization group transformation is developed to describe the critical behaviour of a surface interacting linear flexible polymer chain, represented by a self-avoiding walk. It is shown that a lattice model based on a central rule in which the starting point of the walk and the surface are taken to be in the middle of one cell, provides a suitable framework to study both the penetrable and impenetrable surfaces. In contrast to this, a method based on a corner rule in which the starting point of the walk and the surface are fixed to be one corner of a cell cannot describe the behaviour of a chain interacting with an impenetrable surface. The value of crossover exponent found by us for a square lattice are in agreement with those expected to be exact for both the cases.

Suggested Citation

  • Kumar, Sanjay & Singh, Yashwant, 1996. "On the critical behaviour of a surface interacting linear polymer chain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 229(1), pages 61-71.
    • Handle: RePEc:eee:phsmap:v:229:y:1996:i:1:p:61-71
    DOI: 10.1016/0378-4371(95)00420-3
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    1. Dickinson, H. & Flanagan, I. M. & Whittington, H. W., 1982. "Hydroelectric power in China," Energy Policy, Elsevier, vol. 10(4), pages 354-356, December.
    2. Binder, Arnold & Binder, Virginia L., 1982. "Juvenile diversion and the constitution," Journal of Criminal Justice, Elsevier, vol. 10(1), pages 1-24.
    3. Joanny, J.-F. & De Gennes, P.G., 1987. "Bursting of a soap film in a viscous environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 147(1), pages 238-255.
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