We study the solutions of a generalized Allen–Cahn equation deduced from a Landau energy functional, endowed with a non–constant higher order stiffness. We analytically solve the stationary problem and deduce the existence of so-called compactons, namely, connections on a finite interval between the two phases. The dynamics problem is numerically solved and compacton formation is described.
Compacton formation under Allen–Cahn dynamics / Cirillo, Emilio Nicola Maria; Ianiro, Nicoletta; Sciarra, Giulio. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON. SERIES A. - ISSN 1364-5021. - STAMPA. - 472:2188(2016). [10.1098/rspa.2015.0852]
Compacton formation under Allen–Cahn dynamics
CIRILLO, Emilio Nicola Maria
;IANIRO, Nicoletta
;SCIARRA, Giulio
2016
Abstract
We study the solutions of a generalized Allen–Cahn equation deduced from a Landau energy functional, endowed with a non–constant higher order stiffness. We analytically solve the stationary problem and deduce the existence of so-called compactons, namely, connections on a finite interval between the two phases. The dynamics problem is numerically solved and compacton formation is described.| File | Dimensione | Formato | |
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