Pattern formation in a system with spontaneously-broken rotational symmetry

Hidetsugu Sakaguchi

doi:10.1143/PTP.99.33

Pattern formation in a system with spontaneously-broken rotational symmetry

Hidetsugu Sakaguchi

Research output: Contribution to journal › Article

4 Citations (Scopus)

Abstract

We propose a coupled equation consisting of the Ginzburg-Landau equation and the Swift-Hohenberg equation as a model of pattern-forming systems with spontaneously broken isotropy. Transitions to defect turbulence are investigated in the case that an external force is applied. Some intermediate states such as zigzag patterns, skewed-varicose patterns and oscillating zigzag patterns are found when the external force is changed. The Ginzburg-Landau equation has a vortex as a topological defect. Spiral patterns appear for the Swift-Hohenberg equation around a vortex of the Ginzburg-Landau equation.

Original language	English
Pages (from-to)	33-43
Number of pages	11
Journal	Progress of Theoretical Physics
Volume	99
Issue number	1
DOIs	https://doi.org/10.1143/PTP.99.33
Publication status	Published - Jan 1 1998

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All Science Journal Classification (ASJC) codes

Physics and Astronomy (miscellaneous)

Cite this

Sakaguchi, H. (1998). Pattern formation in a system with spontaneously-broken rotational symmetry. Progress of Theoretical Physics, 99(1), 33-43. https://doi.org/10.1143/PTP.99.33

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10.1143/PTP.99.33