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Roughening transition, surface tension and equilibrium droplet shapes in a two-dimensional Ising system

Avron, J. E. and van Beijeren, H. and Schulman, L. S. and Zia, R. K. P. (1982) Roughening transition, surface tension and equilibrium droplet shapes in a two-dimensional Ising system. Journal of Physics A: Mathematical and General, 15 (2). L81-L86. ISSN 0305-4470. http://resolver.caltech.edu/CaltechAUTHORS:AVRjpa82

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Abstract

The exact surface tension for all angles and temperatures is given for the two-dimensional square Ising system with anisotropic nearest-neighbour interactions. Using this in the Wulff construction, droplet shapes are computed and illustrated. Letting temperature approach zero allows explicit study of the roughening transition in this model. Results are compared with those of the solid-on-solid approximation.


Item Type:Article
Additional Information:Copyright © Institute of Physics and IOP Publishing Limited 1982. Received 27 October 1981. We wish to acknowledge useful discussions with K Binder, M E Fisher and J Slawny. We are grateful to A Dekel for help with computers. Work supported in part by US NSF Grant MCS 78-01885 and US-Israel BSF grant No. 1573. A corrigendum for this article has been published in 1982 J. Phys. A: Math. Gen. 15 1055.
Record Number:CaltechAUTHORS:AVRjpa82
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:AVRjpa82
Alternative URL:http://dx.doi.org/10.1088/0305-4470/15/2/006
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:8939
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:03 Oct 2007
Last Modified:26 Dec 2012 09:43

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