Solitary wave state in the nonlinear kramers equation for self-propelled particles

Hidetsugu Sakaguchi, Kazuya Ishibashi

研究成果: Contribution to journalArticle査読

2 被引用数 (Scopus)

抄録

We study collective phenomena of self-propagating particles using the nonlinear Kramers equation. A solitary wave state appears from an instability of the spatially uniform ordered state with nonzero average velocity. Two solitary waves with different heights merge into a larger solitary wave. An approximate solution of the solitary wave is constructed using a self-consistent method. The phase transition to the solitary wave state is either first-order or second-order, depending on the control parameters.

本文言語英語
論文番号114003
ジャーナルjournal of the physical society of japan
86
11
DOI
出版ステータス出版済み - 11 15 2017

All Science Journal Classification (ASJC) codes

  • 物理学および天文学(全般)

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