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Crossover in coarsening rates for the monopole approximation of the Mullins-Sekerka model with kinetic drag

Abstract:

The Mullins-Sekerka sharp-interface model for phase transitions interpolates between attachment-limited and diffusion-limited kinetics if kinetic drag is included in the Gibbs-Thomson interface condition. Heuristics suggest that the typical length-scale of patterns may exhibit a crossover in coarsening rate from l(t) ∼ t 1/2 at short times to l(t) ∼ t 1/3 at long times. We establish rigorous, universal one-sided bounds on energy decay that parti...

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Publication status:
Published

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Publisher copy:
10.1017/S030821050900033X

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
Journal:
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
Volume:
140
Issue:
3
Pages:
553-571
Publication date:
2010-01-01
DOI:
EISSN:
1473-7124
ISSN:
0308-2105
URN:
uuid:272bbca4-827d-4bf8-9787-262bfa78d3a0
Source identifiers:
65307
Local pid:
pubs:65307
Language:
English

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