Polar chiral active matter as a motile, disordered Josephson array: Information supercurrents and Goldstone spin waves
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arXiv
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| Natura: | Preprint |
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2025
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| _version_ | 1866917476139270144 |
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| author | Ivarsen, Magnus F |
| author_facet | Ivarsen, Magnus F |
| contents | We consider a minimalist model of polar chiral active matter consisting of a spatially distributed ensemble of phase-slaved, overdamped, self-propelled agents whose phase dynamics follow a localized Kuramoto-Sakaguchi coupling. Importantly, the agents' chirality is widely distributed, constituting noise for the ensemble. We derive a formal isomorphism between the model and the overdamped Langevin equation of a disordered, resistively shunted Josephson array, placing individual agents in a tilted washboard potential. Agents that are trapped in this potential are locally phase-synchronized, whereas `slipping' agents that are not trapped feature a quantifiable phase slip velocity, and are subsequently constantly accumulating phase. We demonstrate that phase rigidity is maintained by information supercurrents. We perform a linearisation of the underlying Vlasov-Fokker-Planck equation, which identifies a kinetic Turing instability in the agent ensemble that selects a finite wavelength for the reordering of the active bath. Varying the dispersion in intrinsic oscillator frequencies, we perform a Monte-Carlo simulation that produces a disorder-broadened Adler-Ohmic crossover in the ensemble-averaged slip velocity, in agreement with the Josephson junction prediction. Lastly, we show that the polar alignment torque of the hypothesized 3D agent dynamics (going from $S^1$ to $S^3$ is equivalent to the Gilbert-damping term of the Landau-Lifshitz-Gilbert equation; azimuthal precession yields a Goldstone-mode in which the conservative response carries an effective inertia proportional to order parameter squared. This result provides a microscopic basis for the spin-wave transport assumed in inertial-spin models of flocking. Within its regime of validity (dry, polar, chiral agents under marginal synchronisation and with sufficient noise), the model is well-described as a dissipative spintronic fluid. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_16884 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Polar chiral active matter as a motile, disordered Josephson array: Information supercurrents and Goldstone spin waves Ivarsen, Magnus F Soft Condensed Matter Statistical Mechanics Superconductivity Adaptation and Self-Organizing Systems Quantum Physics We consider a minimalist model of polar chiral active matter consisting of a spatially distributed ensemble of phase-slaved, overdamped, self-propelled agents whose phase dynamics follow a localized Kuramoto-Sakaguchi coupling. Importantly, the agents' chirality is widely distributed, constituting noise for the ensemble. We derive a formal isomorphism between the model and the overdamped Langevin equation of a disordered, resistively shunted Josephson array, placing individual agents in a tilted washboard potential. Agents that are trapped in this potential are locally phase-synchronized, whereas `slipping' agents that are not trapped feature a quantifiable phase slip velocity, and are subsequently constantly accumulating phase. We demonstrate that phase rigidity is maintained by information supercurrents. We perform a linearisation of the underlying Vlasov-Fokker-Planck equation, which identifies a kinetic Turing instability in the agent ensemble that selects a finite wavelength for the reordering of the active bath. Varying the dispersion in intrinsic oscillator frequencies, we perform a Monte-Carlo simulation that produces a disorder-broadened Adler-Ohmic crossover in the ensemble-averaged slip velocity, in agreement with the Josephson junction prediction. Lastly, we show that the polar alignment torque of the hypothesized 3D agent dynamics (going from $S^1$ to $S^3$ is equivalent to the Gilbert-damping term of the Landau-Lifshitz-Gilbert equation; azimuthal precession yields a Goldstone-mode in which the conservative response carries an effective inertia proportional to order parameter squared. This result provides a microscopic basis for the spin-wave transport assumed in inertial-spin models of flocking. Within its regime of validity (dry, polar, chiral agents under marginal synchronisation and with sufficient noise), the model is well-described as a dissipative spintronic fluid. |
| title | Polar chiral active matter as a motile, disordered Josephson array: Information supercurrents and Goldstone spin waves |
| topic | Soft Condensed Matter Statistical Mechanics Superconductivity Adaptation and Self-Organizing Systems Quantum Physics |
| url | https://arxiv.org/abs/2512.16884 |