Swarmalators on a ring with uncorrelated pinning

Abstract

We present a case study of swarmalators (mobile oscillators) that move on a 1D ring and are subject to pinning. Previous work considered the special case where the pinning in space and the pinning in the phase dimension were correlated. Here, we study the general case where the space and phase pinning are uncorrelated, both being chosen uniformly at random. This induces several new effects, such as pinned async, mixed states, and a first-order phase transition. These phenomena may be found in real world swarmalators, such as systems of vinegar eels, Janus matchsticks, electrorotated Quincke rollers, or Japanese tree frogs.

Collective dynamics of swarmalators with higher-order interactions

“…Analyses of the emerging states had been possible when the model is studied with nonidentical velocities and frequencies 34 , distributed couplings 35 , random pinning 36,37 , thermal noise 38 , phase lags 39 , etc. All these prior research on swarmalators has predominantly focused on a thorough exploration of their behavior within the framework of pairwise interactions among the constituent entities of the system.…”