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28 March 2024
 
  » arxiv » 1911.6042

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Velocity and Speed Correlations in Hamiltonian Flocks
Mathias Casiulis ; Marco Tarzia ; Leticia F. Cugliandolo ; Olivier Dauchot ;
Date 14 Nov 2019
AbstractWe study a $2d$ Hamiltonian fluid made of particles carrying spins coupled to their velocities. At low temperatures and intermediate densities, this conservative system exhibits phase coexistence between a collectively moving droplet and a still gas. The particle displacements within the droplet have remarkably similar correlations to those of birds flocks. The center of mass behaves as an effective self-propelled particle, driven by the droplet’s total magnetization. The conservation of a generalized angular momentum leads to rigid rotations, opposite to the fluctuations of the magnetization orientation that, however small, are responsible for the shape and scaling of the correlations.
Source arXiv, 1911.6042
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