Effects of coupling range on the dynamics of swarmalators

TL;DR

This paper investigates how varying the interaction range in a one-dimensional swarmalator model leads to diverse collective behaviors, including synchronized clusters, wave patterns, and active oscillations, with analytical phase boundaries.

Contribution

It introduces a controllable interaction range into the swarmalator model and characterizes the resulting collective states and phase diagram, extending understanding from long-range to short-range interactions.

Findings

Identification of diverse states: sync dots, q-waves, active oscillations.

Analytical derivation of phase boundaries.

Potential relevance to biological and colloidal systems.

Abstract

We study a variant of the one-dimensional swarmalator model where the units' interactions have a controllable length scale or range. We tune the model from the long-range regime, which is well studied, into the short-range regime, which is understudied, and find diverse collective states: sync dots, where the swarmalators arrange themselves into k>1 delta points of perfect synchrony, q-waves, where the swarmalators form spatiotemporal waves with winding number q>1, and an active state where unsteady oscillations are found. We present the phase diagram and derive most of the threshold boundaries analytically. These states may be observable in real-world swarmalator systems with low-range coupling such as biological microswimmers or active colloids.