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Phys. Rev. Lett. 47, 1743–1746 (1981)

Droplet Theory of Low-Dimensional Ising Models

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A. D. Bruce and D. J. Wallace
Physics Department, University of Edinburgh, Scotland EH9 3J2, United Kingdom

See Also: Erratum

Received 5 October 1981; published in the issue dated 14 December 1981

A droplet theory of Ising systems is constructed, valid near space dimension d=1, and based on a model incorporating only the configurational energy of surface tension. The droplet distribution function is calculated explicitly, with use of renormalization-group methods to control the droplet-shape fluctuation effects essential to its scaling form. Universal quantities are calculated; those (e.g., β) which reflect the droplet concentration have an essential singularity in ε=d-1.

© 1981 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.47.1743
DOI:
10.1103/PhysRevLett.47.1743
PACS:
64.60.Fr, 05.50.+q

See Also

Erratum: A. D. Bruce and D. J. Wallace, Droplet Theory of Low-Dimensional Ising Models, Phys. Rev. Lett. 48, 446 (1982).