Title of article
Front-type solutions of fractional Allen–Cahn equation
Author/Authors
Nec، نويسنده , , Y. and Nepomnyashchy، نويسنده , , A.A. and Golovin، نويسنده , , A.A.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
15
From page
3237
To page
3251
Abstract
Super-diffusive front dynamics have been analysed via a fractional analogue of the Allen–Cahn equation. One-dimensional kink shape and such characteristics as slope at origin and domain wall dynamics have been computed numerically and satisfactorily approximated by variational techniques for a set of anomaly exponents 1 < γ < 2 . The dynamics of a two-dimensional curved front has been considered. Also, the time dependence of coarsening rates during the various evolution stages was analysed in one and two spatial dimensions.
Keywords
Fractional Allen–Cahn equation , Domain wall dynamics , Anomalous front
Journal title
Physica D Nonlinear Phenomena
Serial Year
2008
Journal title
Physica D Nonlinear Phenomena
Record number
1728803
Link To Document