Relaxation and Hysteresis in a Periodically Forced Swift-Hohenberg System

The relaxation and hysteresis of a periodically forced Swift-Hohenberg (SH) equation as a phenomenological model for the magnetic domains of a garnet thin film in an oscillating magnetic field are studied. It is already known that the unforced SH equation settles down to a single type of spatial str...

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Bibliographic Details
Published in:Progress of theoretical and experimental physics 2011-06, Vol.125 (6), p.1123-1132
Main Authors: Morino, Kai, Ouchi, Katsuya, Miyazaki, Syuji
Format: Article
Language:English
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Summary:The relaxation and hysteresis of a periodically forced Swift-Hohenberg (SH) equation as a phenomenological model for the magnetic domains of a garnet thin film in an oscillating magnetic field are studied. It is already known that the unforced SH equation settles down to a single type of spatial structure called a stripe pattern, and that the relaxation process yields a scaling law for the structure factor. Two types of temporally oscillating spatial structure consisting of stripe and polka-dot patterns have also been asymptotically observed in the case of a periodically forced SH equation. Relaxation scaling behaviors are studied for these two patterns. It is also shown for the forced case that a hysteresis is observed in the vicinity of the boundary between two different spatial patterns in the phase diagram.
ISSN:0033-068X
2050-3911
1347-4081
DOI:10.1143/PTP.125.1123