### Abstract

An Ising-type Vicsek model is proposed for collective motion and sudden direction change in a population of self-propelled particles. Particles move on a linear lattice with velocity +1 or -1 in the one-dimensional model. The probability of the velocity of a particle at the next step is determined by the number difference of the right- and left-moving particles at the present lattice site and its nearest-neighboring sites. A solitary wave appears also in our model similarly to previous models. In some parameter range, the moving direction of the solitary wave sometimes changes rather suddenly, which is like the sudden change of direction of a flock of birds. We study the average reversal time of traveling direction numerically and compare the results with a mean-field theory. The one-dimensional model is generalized to a two-dimensional model. Flip motion of a bandlike soliton is observed in the two-dimensional model.

Original language | English |
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Article number | 052113 |

Journal | Physical Review E |

Volume | 100 |

Issue number | 5 |

DOIs | |

Publication status | Published - Nov 14 2019 |

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### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics

### Cite this

*Physical Review E*,

*100*(5), [052113]. https://doi.org/10.1103/PhysRevE.100.052113

**Flip motion of solitary wave in an Ising-type Vicsek model.** / Sakaguchi, Hidetsugu; Ishibashi, Kazuya.

Research output: Contribution to journal › Article

*Physical Review E*, vol. 100, no. 5, 052113. https://doi.org/10.1103/PhysRevE.100.052113

}

TY - JOUR

T1 - Flip motion of solitary wave in an Ising-type Vicsek model

AU - Sakaguchi, Hidetsugu

AU - Ishibashi, Kazuya

PY - 2019/11/14

Y1 - 2019/11/14

N2 - An Ising-type Vicsek model is proposed for collective motion and sudden direction change in a population of self-propelled particles. Particles move on a linear lattice with velocity +1 or -1 in the one-dimensional model. The probability of the velocity of a particle at the next step is determined by the number difference of the right- and left-moving particles at the present lattice site and its nearest-neighboring sites. A solitary wave appears also in our model similarly to previous models. In some parameter range, the moving direction of the solitary wave sometimes changes rather suddenly, which is like the sudden change of direction of a flock of birds. We study the average reversal time of traveling direction numerically and compare the results with a mean-field theory. The one-dimensional model is generalized to a two-dimensional model. Flip motion of a bandlike soliton is observed in the two-dimensional model.

AB - An Ising-type Vicsek model is proposed for collective motion and sudden direction change in a population of self-propelled particles. Particles move on a linear lattice with velocity +1 or -1 in the one-dimensional model. The probability of the velocity of a particle at the next step is determined by the number difference of the right- and left-moving particles at the present lattice site and its nearest-neighboring sites. A solitary wave appears also in our model similarly to previous models. In some parameter range, the moving direction of the solitary wave sometimes changes rather suddenly, which is like the sudden change of direction of a flock of birds. We study the average reversal time of traveling direction numerically and compare the results with a mean-field theory. The one-dimensional model is generalized to a two-dimensional model. Flip motion of a bandlike soliton is observed in the two-dimensional model.

UR - http://www.scopus.com/inward/record.url?scp=85075781983&partnerID=8YFLogxK

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U2 - 10.1103/PhysRevE.100.052113

DO - 10.1103/PhysRevE.100.052113

M3 - Article

AN - SCOPUS:85075781983

VL - 100

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 5

M1 - 052113

ER -