Electronic Resource
Springer
The European physical journal
29 (2002), S. 305-309
ISSN:
1434-6036
Keywords:
PACS. 05.45.Yv Solitons – 47.20.Ky Nonlinearity – 47.54.+r Pattern selection; pattern formation
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract: We develop a new technique describing the non linear growth of interfaces. We apply this analytical approach to the one dimensional Cahn-Hilliard equation. The dynamics is captured through a solvability condition performed over a particular family of quasi-static solutions. The main result is that the dynamics along this particular class of solutions can be expressed in terms of a simple ordinary differential equation. The density profile of the stationary regime found at the end of the non-linear growth is also well characterized. Numerical simulations are compared in a satisfactory way with the analytical results through three different fitting methods and asymptotic dynamics are well recovered, even far from the region where the approximations hold.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1140/epjb/e2002-00306-7
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