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

Hidetsugu Sakaguchi, Kazuya Ishibashi

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Abstract

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.

Original languageEnglish
Article number114003
Journaljournal of the physical society of japan
Volume86
Issue number11
DOIs
Publication statusPublished - Nov 15 2017

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All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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