Band structure in collective motion with quenched range of interaction
arXiv:1906.07954 · doi:10.1016/j.physa.2019.121733
Abstract
A variant of the well known Vicsek model of the collective motion of a group of agents has been studied where the range of interactions are spatially quenched and non-overlapping. To define such interactions, the underlying two dimensional space is discretized and is divided into the primitive cells of an imaginary square lattice. At any arbitrary time instant, all agents within one cell mutually interact with one another. Therefore, when an agent crosses the boundary of a cell, and moves to a neighboring cell, only then its influence is spread to the adjacent cell. Tuning the strength of the scalar noise it has been observed that the system makes a discontinuous transition from a random diffusive phase to an ordered phase through a critical noise strength where directed bands with high agent densities appear. Unlike the original Vicsek model here a host of different types of bands has been observed with different angles of orientation and different wrapping numbers. More interestingly, two mutually crossed independent sets of simultaneously moving bands are also observed. A prescription for the detailed characterization of different types of bands have been formulated.
arXiv comment13 figures
References in corpus (14)
- Novel type of phase transition in a system of self-driven particles
- Collective motion
- Interaction Ruling Animal Collective Behaviour Depends on Topological rather than Metric Distance: Evidence from a Field Study
- Collective motion of self-propelled particles interacting without cohesion
- Large-scale collective properties of self-propelled rods
- Boltzmann and hydrodynamic description for self-propelled particles
- Minimal model for active nematics: quasi-long-range order and giant fluctuations
- Spontaneously ordered motion of self-propelled particles
- Enhanced diffusion and ordering of self-propelled rods
- Phase transitions in systems of self-propelled agents and related network models
- Pattern Formation and Functionality in Swarm Models
- Collision statistics of driven granular materials
- Collective dynamics of self-propelled particles with variable speed
- Turning with the others: novel transitions in an SPP model with coupling of accelerations