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A simple derivation of the exponent γ for Gaussian chains with excluded volume

✍ Scribed by Andrzej Kloczkowski; James E. Mark; Burak Erman

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
286 KB
Volume
4
Category
Article
ISSN
1022-1344

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✦ Synopsis

Abstract

The exponent γ in the expression for the partition function Z ≅ μ^N^ · N^γ−1^ is derived for a Gaussian chain. The method of Ullman is adopted. Results of calculations show that for 1, 2, 3 and 4 dimensions, γ = 1, 1,25, 1,2 and 1, respectively. It is also shown that γ remains unity for all dimensions higher than four. These results are in better agreement with exact computer simulation results than the first‐order renomalization group theory calculations. The self consistency of the present method and possible improvements along the lines of the present study are discussed.

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