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Phys. Rev. Lett. 59, 2067–2070 (1987)

Some consequences of an equation of motion for diffusive growth

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Thomas C. Halsey
Service de Physique Théorique, Centre d’Etudes Nucleaires de Saclay, 91191 Gif-sur-Yvette Cedex, France

See Also: Erratum

Received 21 July 1987; published in the issue dated 2 November 1987

An equation of motion is derived for the surface harmonic measure and the surface Green’s function in a class of diffusive growth processes, including diffusion-limited aggregation as a special case. These equations, in conjunction with a scaling hypothesis, imply a relation between the ‘‘multifractal’’ spectrum of exponents and the mass scaling of the clusters generated by these processes. Under some circumstances, this relation is inconsistent with a scaling law proposed by Turkevich and Scher.

© 1987 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.59.2067
DOI:
10.1103/PhysRevLett.59.2067
PACS:
64.60.Ak, 05.20.Dd, 41.10.Dq

See Also

Erratum: Thomas C. Halsey, Some Consequences of an Equation of Motion for Diffusive Growth, Phys. Rev. Lett. 60, 76 (1988).