Metastability of Discrete-Symmetry Flocks

Alexandre Solon; Brieuc Benvegnen; David Mukamel; Hugues Chat\'e; Julien Tailleur; Omer Granek; Ran Yaacoby; Sunghan Ro; Yariv Kafri

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arxiv 2306.01156 v1 pith:LMT7X2UX submitted 2023-06-01 cond-mat.soft cond-mat.stat-mech

Metastability of Discrete-Symmetry Flocks

Brieuc Benvegnen , Omer Granek , Sunghan Ro , Ran Yaacoby , Hugues Chat\'e , Yariv Kafri , David Mukamel , Alexandre Solon

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Julien Tailleur

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classification cond-mat.soft cond-mat.stat-mech

keywords flocksdiscrete-symmetrydropletsorderedphaseactiveanalyticallyanisotropy

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We study the stability of the ordered phase of flocking models with a scalar order parameter. Using both the active Ising model and a hydrodynamic description, we show that droplets of particles moving in the direction opposite to that of the ordered phase nucleate and grow. We characterize analytically this self-similar growth and demonstrate that droplets spread ballistically in all directions. Our results imply that, in the thermodynamic limit, discrete-symmetry flocks -- and, by extension, continuous-symmetry flocks with rotational anisotropy -- are metastable in all dimensions.

Metastability of Discrete-Symmetry Flocks

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