Hostname: page-component-586b7cd67f-vdxz6 Total loading time: 0 Render date: 2024-11-26T08:45:55.401Z Has data issue: false hasContentIssue false

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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