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Modified Fisher Droplet Model

Published online by Cambridge University Press:  21 February 2011

J. Marro and
R. Toral
J. Marro
Affiliation:
Departamento de Fĺsica Teórica, Universidad de Barcelona, Diagonal 647, Barcelona-28, Spain
R. Toral
Affiliation:
Departamento de Fĺsica Teórica, Universidad de Barcelona, Diagonal 647, Barcelona-28, Spain
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Abstract

We propose a simple modification of the Fisher droplet model which, unlike classical nucleation theory, reproduces very well some Monte Carlo equilibrium cluster distributions P1 for the three-dimensional Ising or lattice gas model. It then follows that p1(h) /p1(h=0) = A exp(− η l) where η ∝hl/Y, y≃0.45, when the magnetic field h is small enough, as suggested from the consideration of an effective cluster size ly , while η seems rather proportional to h at larger values of the field, as implied by some exact results.

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Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 21: Symposium GREECE – Phase Transformations in Solids , 1983, 13
Copyright
Copyright © Materials Research Society 1984

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References

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