- 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...
Expand abstract - Publication status:
- Published
- Publisher copy:
- 10.1103/physreve.73.031602
-
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- 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:
- Copyright date:
- 2006
- Notes:
- 4 pages, 3 figures
Journal article
Roughening and inclination of competition interfaces.
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