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The exact enumeration of self-avoiding walks on a lattice

Published online by Cambridge University Press:  24 October 2008

J. L. Martin
Affiliation:
Mathematics DivisionNational Physical LaboratoryTeddington

Abstract

No adequate theory of self-avoiding walks on a regular lattice exists, and the only effective approach at present is numerical in character. An electronic computer has been used to enumerate prescribed sets of walks on the usual regular lattices; the method is described and some results are given.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1962

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References

REFERENCES

(1)Domb, C.Advances in Physics, 9 (1960), 149.CrossRefGoogle Scholar
(2)Fisher, M. E. and Sykes, M. F.Phys. Rev. 114 (1959), 45.CrossRefGoogle Scholar
(3)Hammersley, J. M.Proc. Cambridge Philos. Soc. 53 (1957), 642.CrossRefGoogle Scholar
(4)Rushbrooke, G. S. and Eve, J. J.Chem. Phys. 31 (1959), 1333.Google Scholar
(5)Sykes, M. F.J. Mathematical Phys. 2 (1961), 52.CrossRefGoogle Scholar
(6)Wall, F. T. and Erpenbeck, J. J.J. Chem. Phys. 30 (1959), 634.CrossRefGoogle Scholar