Relaxation and hysteresis in a periodically forced Swift-Hohenberg system

Kai Morino, Katsuya Ouchi, Syuji Miyazaki

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)1123-1132
Number of pages10
JournalProgress of Theoretical Physics
Issue number6
Publication statusPublished - Jun 2011
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)


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