Universal amplitude in the sizes of rings in two dimensions
- 21 August 1988
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 21 (16) , L797-L799
- https://doi.org/10.1088/0305-4470/21/16/003
Abstract
For self-avoiding rings of N steps in two dimensions, the limiting value as N to infinity of the combination NpN(R2)NxcN (where pN is the number of distinct rings, (R2)N is their mean square radius of gyration, and xc is the critical fugacity) is equal to a calculable lattice-dependent number times a universal amplitude. This latter quantity is calculated exactly using methods of conformal invariance. The value is in good agreement with the results of enumeration studies.Keywords
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