Published July 9, 2004
| Version v1
Journal article
Coalescence in the 1D Cahn-Hilliard model
Creators
- 1. Centre de Physique Moleculaire Optique et Hertzienne, Universite Bordeaux I, 33406 Talence Cedex (France)
Description
We present an approximate analytical solution of the Cahn-Hilliard equation describing the coalescence during a first-order phase transition. We have identified all the intermediate profiles, stationary solutions of the noiseless Cahn-Hilliard equation. Using properties of the soliton lattices, periodic solutions of the Ginzburg-Landau equation, we have constructed a family of ansaetze describing continuously the process of destabilization and period doubling predicted in Langer's self-similar scenario (Langer 1971 Ann. Phys., NY 65 53)
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/37/6929/a4_27_005.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/37/6929/a4_27_005.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/37/27/005;
- PII
- S0305-4470(04)73397-1;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 37
- Journal Issue
- 27
- Journal Page Range
- p. 6929-6941
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 35070561
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ANALYTICAL SOLUTION; COALESCENCE; EQUATIONS; GINZBURG-LANDAU THEORY; PERIODICITY; PHASE TRANSFORMATIONS
- Descriptors DEC
- MATHEMATICAL SOLUTIONS; VARIATIONS