We consider a minimalist model of polar chiral active matter: overdamped, self-propelled agents coupled through a localized Kuramoto-Sakaguchi interaction, which causes alignment. Intrinsic frustration drawn from a broad distribution constitutes a temperature for the ensemble. In the comoving frame of the local order parameter, the agent dynamics reduce exactly to the Adler equation, placing each agent in a tilted washboard potential: trapped agents are phase-synchronized, and we demonstrate thereby that synchronization (phase rigidity) is maintained by information supercurrents; agents that are running in this potential form a resistive bath. The model is therefore formally isomorphic to a disordered, resistively shunted Josephson array, and a Monte Carlo sweep over the frequency dispersion empirically recovers the disorder-broadened Adler-Ohmic crossover of the ensemble-averaged slip velocity. Lifting the dynamics from $S^1$ to $S^2$, the polar alignment torque (the Kuramoto term) is geometrically equivalent to the Gilbert-damping term of the Landau-Lifshitz-Gilbert equation; the mapping establishes an effortless azimuthal precession, yielding a Goldstone-mode dispersion that carries an effective inertia $\propto R^2$, where $R$ is the local order parameter. This furnishes a microscopic basis for the spin-wave transport assumed in inertial-spin models of flocking. Within its regime of validity, i.e., dry, polar, chiral agents under marginal synchronization with sufficient frustration, the model is well-described as a dissipative spintronic fluid.

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• Bifurcations
• Biological fluid dynamics
• Chaos
• Complex systems
• Critical current
• Critical phenomena
• Dynamical phase transitions
• Dynamics of networks
• Entropy
• Josephson effect
• Living matter & active matter
• Noise
• Noise-induced transitions
• Nonequilibrium & irreversible thermodynamics
• Nonequilibrium statistical mechanics
• Patterns in complex systems
• Phase separation
• Phase slips
• Phase transitions
• Self-organized criticality
• Self-organized systems
• Spin dynamics
• Superconducting phase transition
• Superconductivity
• Superfluid density
• Thermal properties
• Thermodynamics
• Transport phenomena
• Vortices in superfluids
• Wave chaos
• Superconductors
• Topological materials
• Approximation methods for many-body systems
• Chaos & nonlinear dynamics
• Data analysis
• Langevin equation
• Monte Carlo methods
• Numerical approximation & analysis
• Theories of collective dynamics & active matter
• Time series analysis
• Vicsek model
• XY model