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On the relation between the Coulomb gas and the lattice XY model

Fucito, F. and Solomon, S. (1986) On the relation between the Coulomb gas and the lattice XY model. Journal of Physics A: Mathematical and General, 19 (12). L739-L743. ISSN 0305-4470. http://resolver.caltech.edu/CaltechAUTHORS:FUCjpa86

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Abstract

By using Monte Carlo methods, the authors study the Coulomb gas in two dimensions. They focus their measurements in the regime in which an area law is expected. Their results confirm such a behaviour. The authors compare these results with those obtained for the vorticity in the lattice XY model: the comparison shows a sharp contrast in the behaviour of these two models. They conclude that, contrary to the common belief, the topological vortices of the XY model are not correctly described by a dilute Coulomb gas. Their results were obtained using an 8-node concurrent processor built at Caltech.


Item Type:Article
Additional Information:Copyright © Institute of Physics and IOP Publishing Limited 1986. Received 13 June 1985, in final form 5 July 1985. We thank G. Fox for helpful discussions on the parallel algorithm for long range forces. Work supported in part by the US Department of Energy under Contract DEAC-03-81-ER40050. [F.F. was a] Weingart Fellow in Theoretical Physics. [S.S. was a] Bantrell Fellow in Theoretical Physics.
Record Number:CaltechAUTHORS:FUCjpa86
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:FUCjpa86
Alternative URL:http://dx.doi.org/10.1088/0305-4470/19/12/008
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10277
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:21 Apr 2008
Last Modified:26 Dec 2012 09:58

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