Solitary wave state in the nonlinear Kramers equation for self-propelled particles
Statistical Mechanics
2017-11-22 v1 Soft Condensed Matter
Pattern Formation and Solitons
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.
Keywords
Cite
@article{arxiv.1709.08919,
title = {Solitary wave state in the nonlinear Kramers equation for self-propelled particles},
author = {Hidetsugu Sakaguchi and Kazuya Ishibashi},
journal= {arXiv preprint arXiv:1709.08919},
year = {2017}
}
Comments
7 pages, 5 figures