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Phys. Rev. B 61, R10598–R10601 (2000)

Fluctuations and scaling in aggregation phenomena

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C. Ratsch*
HRL Laboratories LLC, 3011 Malibu Canyon Road, Malibu, California 90265
Department of Mathematics, University of California, Los Angeles, California 90095-1555

M. F. Gyure
HRL Laboratories LLC, 3011 Malibu Canyon Road, Malibu, California 90265

S. Chen and M. Kang
Department of Mathematics, University of California, Los Angeles, California 90095-1555

D. D. Vvedensky†
HRL Laboratories LLC, 3011 Malibu Canyon Road, Malibu, California 90265
Department of Mathematics, University of California, Los Angeles, California 90095-1555

Received 14 January 2000; published in the issue dated 15 April 2000

We introduce a method which enables us to isolate different sources of fluctuations during a typical aggregation process. As an example, we focus on the evolution of islands during irreversible submonolayer epitaxy. We show that only spatial fluctuations in island nucleation are required to produce the scaling of their size distribution as determined by Monte Carlo simulations. In particular, once the islands are seeded, their growth can be described in a purely deterministic manner.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.61.R10598
DOI:
10.1103/PhysRevB.61.R10598
PACS:
68.55.Jk, 68.35.Bs, 68.35.Fx

*Author to whom correspondence should be addressed. Electronic address:cratsch@math.ucla.edu

†Permanent address: The Blackett Laboratory, Imperial College, London SW7 2BZ, United Kingdom.

 
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