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Further results on self-avoiding walks

Author

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  • Temperley, H.N.V.

Abstract

A Gaussian model of self-avoiding walks is studied. Not only is any cluster integral exactly evaluable, but whole sub-series can be evaluated exactly in terms of associated Riemann zeta functions. The results are compared with information recently obtained on self-avoiding walks on the plane square and simple cubic lattices and, as expected, are very similar. Use is made of the author's recent result that the reciprocal of the walks generating function is the generating function for irreducible cluster-sums. This is split into sub-series all of which have the same radius of convergence, and the significance of this is discussed.

Suggested Citation

  • Temperley, H.N.V., 1994. "Further results on self-avoiding walks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 206(3), pages 350-358.
    • Handle: RePEc:eee:phsmap:v:206:y:1994:i:3:p:350-358
    DOI: 10.1016/0378-4371(94)90311-5
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