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

Hidetsugu Sakaguchi, Kazuya Ishibashi

Research output: Contribution to journalArticle

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 languageEnglish
Article number052113
JournalPhysical Review E
Volume100
Issue number5
DOIs
Publication statusPublished - Nov 14 2019

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Flip
Solitary Waves
Ising
solitary waves
Motion
One-dimensional Model
two dimensional models
Collective Motion
Flock
birds
Model
Time Reversal
Mean-field Theory
Solitons
Range of data

All Science Journal Classification (ASJC) codes

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

Cite this

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

In: Physical Review E, Vol. 100, No. 5, 052113, 14.11.2019.

Research output: Contribution to journalArticle

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