Relaxation and Hysteresis in a Periodically Forced Swift-Hohenberg System

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Abstract

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.

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.

Journal

  • Progress of theoretical physics

    Progress of theoretical physics 125(6), 1123-1132, 2011-06-25

    Oxford University Press (OUP)

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Codes

  • NII Article ID (NAID)
    110008685824
  • NII NACSIS-CAT ID (NCID)
    AA00791455
  • Text Lang
    ENG
  • Article Type
    ART
  • ISSN
    0033068X
  • NDL Article ID
    11132106
  • NDL Source Classification
    ZM35(科学技術--物理学)
  • NDL Call No.
    Z53-A468
  • Data Source
    CJP  NDL  NII-ELS  IR  Crossref 
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