Attractive and repulsive interactions in the one-dimensional swarmalator model
arXiv:2309.02342 · doi:10.1103/PhysRevE.108.064214
Abstract
We study a population of swarmalators, mobile variants of phase oscillators, which run on a ring and have both attractive and repulsive interactions. This one-dimensional (1D) swarmalator model produces several of collective states: the standard sync and async states as well as a splaylike "polarized" state and several unsteady states such as active bands or swirling. The model's simplicity allows us to describe some of the states analytically. The model can be considered as a toy model for real-world swarmalators such as vinegar eels and sperm which swarm in quasi-1D geometries.
References in corpus (22)
- Chimera States for Coupled Oscillators
- Oscillators that sync and swarm
- Odd dynamics of living chiral crystals
- Emergent vortices in populations of colloidal rollers
- Cooperation of Sperm in Two Dimensions: Synchronization, Attraction and Aggregation through Hydrodynamic Interactions
- Collective behaviour of swarmalators on a 1D ring
- Diverse Behaviors in Non-Uniform Chiral and Non-Chiral Swarmalators
- Ring states in swarmalator systems
- Velocity enhancement by synchronization of magnetic domain walls
- Sync and swarm: solvable model of non-identical swarmalators
- Synchronization and spatial patterns in forced swarmalators
- Pinning in a system of swarmalators
- Metachronal waves in concentrations of swimming Turbatrix aceti nematodes and an oscillator chain model for their coordinated motions
- Collective steady-state patterns of swarmalators with finite-cutoff interaction distance
- Synchronized oscillations in swarms of nematode Turbatrix aceti
- Cognitive swarming in complex environments with attractor dynamics and oscillatory computing
- Dynamics of swarmalators: A pedagogical review
- Activity-induced microswimmer interactions and cooperation in one-dimensional environments
- Vortices and the entrainment transition in the 2D Kuramoto model
- Swarmalators on a ring with uncorrelated pinning
- Fluid circulation driven by collectively organized metachronal waves in swimming T. aceiti nematodes
- Frequency Spirals