TY - JOUR
T1 - Solitary wave state in the nonlinear kramers equation for self-propelled particles
AU - Sakaguchi, Hidetsugu
AU - Ishibashi, Kazuya
N1 - Publisher Copyright:
© 2017 The Physical Society of Japan.
PY - 2017/11/15
Y1 - 2017/11/15
N2 - 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.
AB - 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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U2 - 10.7566/JPSJ.86.114003
DO - 10.7566/JPSJ.86.114003
M3 - Article
AN - SCOPUS:85036576975
SN - 0031-9015
VL - 86
JO - journal of the physical society of japan
JF - journal of the physical society of japan
IS - 11
M1 - 114003
ER -