2008年1月
Transverse front instability in bistable systems with long-range interactions
PROGRESS OF THEORETICAL PHYSICS
- ,
- ,
- 巻
- 119
- 号
- 1
- 開始ページ
- 1
- 終了ページ
- 8
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1143/PTP.119.1
- 出版者・発行元
- PROGRESS THEORETICAL PHYSICS PUBLICATION OFFICE
Using the Ginzburg-Landau equation with a long-range interaction, we study the stability of a planar front with respect to transverse perturbations in bistable systems. It is well known that when a bistable system has competiting short-range and long-range interactions, the front connecting two stable states can exhibit transverse instability. We focus on the effects of the nonlocal nature of the interaction, using long-range interactions with exponential decay (weak nonlocality) and power-law decay (strong nonlocality). It is found that in the former case, the planar front can be stabilized by varying a parameter value, while in the latter case, the strong nonlocal nature of the interaction prevents stabilization of the front.
- リンク情報
- ID情報
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- DOI : 10.1143/PTP.119.1
- ISSN : 0033-068X
- CiNii Articles ID : 110006570677
- Web of Science ID : WOS:000253268800001