Solvable model of driven matter with pinning

Sar, Gourab Kumar; Ghosh, Dibakar; O'Keeffe, Kevin

doi:10.1103/physreve.109.044603

Phys. Rev. E

2024

DOI: 10.1103/physreve.109.044603

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Solvable model of driven matter with pinning

Gourab Kumar Sar,

Dibakar Ghosh,

Kevin O'Keeffe

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2024

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Cited by 5 publications

References 42 publications

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Flocking and swarming in a multi-agent dynamical system

Sar,

Ghosh

2023

Chaos: An Interdisciplinary Journal of Nonlinear Science

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Over the past few decades, the research community has been interested in the study of multi-agent systems and their emerging collective dynamics. These systems are all around us in nature, such as bacterial colonies, fish schools, and bird flocks, as well as in technology, such as microswimmers and robotics, to name a few. Flocking and swarming are two key components of the collective behaviors of multi-agent systems. In flocking, the agents coordinate their direction of motion, but in swarming, they congregate in space to organize their spatial position. We propose a minimal mathematical model of a locally interacting multi-agent system where the agents simultaneously swarm in space and exhibit flocking behavior. Various cluster structures are found depending on the interaction range. When the coupling strength value exceeds a crucial threshold, flocking behavior is observed. We do in-depth simulations and report the findings by changing the other parameters and with the incorporation of noise.

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Flocking and swarming in a multi-agent dynamical system

Sar,

Ghosh

2023

Chaos: An Interdisciplinary Journal of Nonlinear Science

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Swarmalators on a ring with uncorrelated pinning

Sar,

O’Keeffe,

Ghosh

2023

Chaos: An Interdisciplinary Journal of Nonlinear Science

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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.

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A solvable two-dimensional swarmalator model

O’Keeffe,

Sar,

Anwar

et al. 2024

Proc. R. Soc. A.

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Swarmalators are oscillators that swarm through space as they synchronize in time. Introduced a few years ago to model many systems that mix synchrony with self-assembly, they remain poorly understood theoretically. Here, we obtain the first analytic results on swarmalators moving in two spatial dimensions by introducing a simplified model where the swarmalators have no hard-shell interaction terms and move on a periodic plane. These simplifications allow expressions for order parameters, stabilities and bifurcations to be derived exactly.

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Solvable model of driven matter with pinning

Cited by 5 publications

References 42 publications

Flocking and swarming in a multi-agent dynamical system

Flocking and swarming in a multi-agent dynamical system

Swarmalators on a ring with uncorrelated pinning

A solvable two-dimensional swarmalator model

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