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math-ph2026
Critical coupling thresholds for tilted Kuramoto-Vicsek models with a confining potential
Benedetta Bertoli, Benjamin D. Goddard, Grigorios A. Pavliotis
We study a Kuramoto-Vicsek model of self-propelled particles with periodic boundary conditions subject to a constant angular tilt and a confining potential, and its mean-field (Fok…
math-ph2024★ 1 cited
Stability of stationary states for mean field models with multichromatic interaction potentials
Benedetta Bertoli, Benjamin D. Goddard, Grigorios A. Pavliotis
We consider weakly interacting diffusions on the torus, for multichromatic interaction potentials. We consider interaction potentials that are not H-stable, leading to phase transi…