### 抄録

We study self-propelled particles by direct numerical simulation of the nonlinear Kramers equation for self-propelled particles. In our previous paper, we studied self-propelled particles with velocity variables in one dimension. In this paper, we consider another model in which each particle exhibits directional motion. The movement direction is expressed with a variable ϕ. We show that one-dimensional solitary wave states appear in direct numerical simulations of the nonlinear Kramers equation in one- and two-dimensional systems, which is a generalization of our previous result. Furthermore, we find two-dimensionally localized states in the case that each self-propelled particle exhibits rotational motion. The center of mass of the two-dimensionally localized state exhibits circular motion, which implies collective rotating motion. Finally, we consider a simple one-dimensional model equation to qualitatively understand the formation of the solitary wave state.

元の言語 | 英語 |
---|---|

記事番号 | 064001-1 |

ジャーナル | journal of the physical society of japan |

巻 | 87 |

発行部数 | 6 |

DOI | |

出版物ステータス | 出版済み - 1 1 2018 |

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### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

### これを引用

**One- and two-dimensional solitary wave states in the nonlinear kramers equation with movement direction as a variable.** / Sakaguchi, Hidetsugu; Ishibashi, Kazuya.

研究成果: ジャーナルへの寄稿 › 記事

}

TY - JOUR

T1 - One- and two-dimensional solitary wave states in the nonlinear kramers equation with movement direction as a variable

AU - Sakaguchi, Hidetsugu

AU - Ishibashi, Kazuya

PY - 2018/1/1

Y1 - 2018/1/1

N2 - We study self-propelled particles by direct numerical simulation of the nonlinear Kramers equation for self-propelled particles. In our previous paper, we studied self-propelled particles with velocity variables in one dimension. In this paper, we consider another model in which each particle exhibits directional motion. The movement direction is expressed with a variable ϕ. We show that one-dimensional solitary wave states appear in direct numerical simulations of the nonlinear Kramers equation in one- and two-dimensional systems, which is a generalization of our previous result. Furthermore, we find two-dimensionally localized states in the case that each self-propelled particle exhibits rotational motion. The center of mass of the two-dimensionally localized state exhibits circular motion, which implies collective rotating motion. Finally, we consider a simple one-dimensional model equation to qualitatively understand the formation of the solitary wave state.

AB - We study self-propelled particles by direct numerical simulation of the nonlinear Kramers equation for self-propelled particles. In our previous paper, we studied self-propelled particles with velocity variables in one dimension. In this paper, we consider another model in which each particle exhibits directional motion. The movement direction is expressed with a variable ϕ. We show that one-dimensional solitary wave states appear in direct numerical simulations of the nonlinear Kramers equation in one- and two-dimensional systems, which is a generalization of our previous result. Furthermore, we find two-dimensionally localized states in the case that each self-propelled particle exhibits rotational motion. The center of mass of the two-dimensionally localized state exhibits circular motion, which implies collective rotating motion. Finally, we consider a simple one-dimensional model equation to qualitatively understand the formation of the solitary wave state.

UR - http://www.scopus.com/inward/record.url?scp=85046907603&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85046907603&partnerID=8YFLogxK

U2 - 10.7566/JPSJ.87.064001

DO - 10.7566/JPSJ.87.064001

M3 - Article

AN - SCOPUS:85046907603

VL - 87

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 6

M1 - 064001-1

ER -