Spatially modulated nonreciprocity in McKean-Vlasov equations produces travelling waves via Hopf bifurcations even in the weak-nonreciprocity regime, unlike uniform nonreciprocity which yields only stationary instabilities.
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Polar chiral active matter is formally isomorphic to a disordered resistively shunted Josephson array, supporting information supercurrents and providing a microscopic derivation of Goldstone spin waves for inertial flocking models.
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Nonreciprocal McKean-Vlasov Equations: From Stationary Instabilities to Travelling Waves
Spatially modulated nonreciprocity in McKean-Vlasov equations produces travelling waves via Hopf bifurcations even in the weak-nonreciprocity regime, unlike uniform nonreciprocity which yields only stationary instabilities.
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Polar chiral active matter as a motile, disordered Josephson array: Information supercurrents and Goldstone spin waves
Polar chiral active matter is formally isomorphic to a disordered resistively shunted Josephson array, supporting information supercurrents and providing a microscopic derivation of Goldstone spin waves for inertial flocking models.