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Roughening and inclination of competition interfaces.

Abstract:

We study the competition interface between two clusters growing over a random vacant sector of the plane in a simple setup which allows us to perform formal computations and obtain analytical solutions. We demonstrate that a phase transition occurs for the asymptotic inclination of this interface when the final macroscopic shape goes from curved to noncurved. In the first case it is random while in the second one it is deterministic. We also show that the flat case (stationary growth) is a cr...

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Publication status:
Published

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Publisher copy:
10.1103/physreve.73.031602

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Institution:
University of Oxford
Department:
Oxford, MPLS, Statistics
Role:
Author
Journal:
Physical review. E, Statistical, nonlinear, and soft matter physics
Volume:
73
Issue:
3 Pt 1
Pages:
031602
Publication date:
2006-03-05
DOI:
EISSN:
1550-2376
ISSN:
1539-3755
URN:
uuid:4eabba87-7544-4130-9d33-dcf77d4156a5
Source identifiers:
97452
Local pid:
pubs:97452
Language:
English
Keywords:

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