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Related Experiment Videos

Corner-transfer-matrix renormalization-group method for two-dimensional self-avoiding walks and other O(n) models.

D P Foster1, C Pinettes

  • 1Laboratoire de Physique Théorique et Modélisation (CNRS UMR 8089), Université de Cergy-Pontoise, 5 mail Gay Lussac, 95035 Cergy-Pontoise cedex, France.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 6, 2003
PubMed
Summary

We extended the corner-transfer-matrix renormalization-group (CTMRG) method for O(n) invariant models. This efficient technique is ideal for studying two-dimensional self-avoiding walk problems.

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Area of Science:

  • Statistical mechanics
  • Condensed matter physics
  • Computational physics

Background:

  • The corner-transfer-matrix renormalization-group (CTMRG) is a powerful numerical technique.
  • Studying O(n) invariant models, particularly self-avoiding walks, presents computational challenges.

Purpose of the Study:

  • To extend the CTMRG method to O(n) invariant models.
  • To demonstrate the CTMRG method's applicability to self-avoiding walk models.

Main Methods:

  • Extension of the corner-transfer-matrix renormalization-group (CTMRG) method.
  • Application to an interacting self-avoiding walk model.

Main Results:

  • The CTMRG method is successfully extended to O(n) invariant models.

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  • The method proves efficient and versatile for self-avoiding walk problems.

    • Conclusions:

    • The CTMRG method is a superior choice for two-dimensional self-avoiding walk problems.
    • This extension broadens the applicability of CTMRG in statistical and computational physics.