A Monte Carlo study of non‐self‐intersecting chains on a four‐choice cubic lattice is undertaken with the help of a recently described “dimerization” method. This method permits to avoid the difficulty of “sample attrition,” enabling the construction of relatively long chains. Certain improvements of the method are described and its validity is substantiated. The distribution and average values of the end to end, as well as of various intrachain distances, are determined for chain lengths varying from to 8192. The results indicate that the basic assumptions of several theories on excluded volume need to be revised.
REFERENCES
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F. T. Wall, S. Windwer, and P. J. Gans, in Methods in Computational Physics. I (Academic, New York, 1963).
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For recent references see
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Z. Alexandrowicz, J. Chem. Phys. (to be published).
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The approximate line is used in subsequent articles:
J. Polymer Sci. Pt. C
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(1968
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J. Chem. Phys.
47
, 4377
(1967
). Actually the line refers to α defined as ratio of most probable values of but, a computation (unpublished) shows that the behavior of the ratio of is the same.14.
15.
The integrated form has been pointed out by P. J. Roberts of the University of Manchester in private communication to one of the authors (Z.A.).
16.
See, for example,
M.
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and W. H.
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(1963
).
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© 1971 American Institute of Physics.
1971
American Institute of Physics
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