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arXiv · 1709.08919

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.

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BibTeXRIS

Hidetsugu Sakaguchi, Kazuya Ishibashi. 2017-09-26. Solitary wave state in the nonlinear Kramers equation for self-propelled particles. https://doi.org/10.7566/jpsj.86.114003

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