Perimeter Generating Functions For The Mean-Squared Radius Of Gyration Of Convex Polygons

Details Perimeter Generating Functions For The Mean-Squared Radius Of Gyration Of Convex Polygons Perimeter Generating Functions For The Mean-Squared Radius Of Gyration Of Convex Polygons

2005-09-28

arxiv.org/abs/cond-mat/0509714v1

J. Phys. A: Math. Gen. 38, L769-L775 (2005).

Physics

Condensed Matter

Statistical Mechanics

8 pages, 1 figure

Scientific paper

10.1088/0305-4470/38/46/L01

We have derived long series expansions for the perimeter generating functions
of the radius of gyration of various polygons with a convexity constraint.
Using the series we numerically find simple (algebraic) exact solutions for the
generating functions. In all cases the size exponent $\nu=1$.

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