Journal of Statistical Physics

, Volume 82, Issue 1–2, pp 155–181 | Cite as

Monte carlo study of the interacting self-avoiding walk model in three dimensions

  • M. C. Tesi
  • E. J. Janse van Rensburg
  • E. Orlandini
  • S. G. Whittington


We consider self-avoiding walks on the simple cubic lattice in which neighboring pairs of vertices of the walk (not connected by an edge) have an associated pair-wise additive energy. If the associated force is attractive, then the walk can collapse from a coil to a compact ball. We describe two Monte Carlo algorithms which we used to investigate this collapse process, and the properties of the walk as a function of the energy or temperature. We report results about the thermodynamic and configurational properties of the walks and estimate the location of the collapse transition.

Key Words

Self-avoiding walks lattice models Markov chains Monte Carlo phase transitions 


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Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • M. C. Tesi
    • 1
  • E. J. Janse van Rensburg
    • 2
  • E. Orlandini
    • 3
  • S. G. Whittington
    • 1
  1. 1.Department of ChemistryUniversity of TorontoTorontoCanada
  2. 2.Department of MathematicsYork UniversityNorth YorkCanada
  3. 3.Theoretical PhysicsUniversity of OxfordOxfordUK

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