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• W4280560085 abstract "We consider the off-lattice two-dimensional $q$-state active clock model (ACM) as a natural discretization of the Vicsek model (VM) describing flocking. The ACM consists of particles able to move in the plane in a discrete set of $q$ equidistant angular directions, as in the active Potts model (APM), with an alignment interaction inspired by the ferromagnetic equilibrium clock model. We find that for a small number of directions, the flocking transition of the ACM has the same phenomenology as the APM, including macrophase separation and reorientation transition. For a larger number of directions, the flocking transition in the ACM becomes equivalent to the one of the VM and displays microphase separation and only transverse bands, i.e. no re-orientation transition. Concomitantly also the transition of the $qtoinfty$ limit of the ACM, the active XY model (AXYM), is in the same universality class as the VM. We also construct a coarse-grained hydrodynamic description for the ACM and AXYM akin to the VM." @default.
• W4280560085 created "2022-05-22" @default.
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• W4280560085 date "2022-05-01" @default.
• W4280560085 modified "2023-09-29" @default.
• W4280560085 title "Polar flocks with discretized directions: The active clock model approaching the Vicsek model" @default.
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• W4280560085 doi "https://doi.org/10.1209/0295-5075/ac6e4b" @default.
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