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 |
|---|---|
| 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
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 journal › Article
}
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.
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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 -