Abstract

The present paper studies the spontaneous velocity alignment and the time-intermittency of the kinetic-energy in dense phases of active matter. The dynamical properties are described by considering the spatial velocity correlations and constructing a non-equilibrium phase diagram of active force and density which explores homogeneous and inhomogeneous phases

Highlights

  • The dynamics of colloidal particles at high densities have been widely explored, theoretically, numerically, and experimentally, in the last decades [1,2]

  • When the persistence is smaller than the time scale associated with the potential, i.e., when τ (∇ · F(x)/γ )−1, we expect the same behavior as in passive Brownian particles [69,70]: particles are homogeneously distributed in the box and arranged in the solid, hexatic, or liquid phase, as shown in [25], depending on the interplay between φ and τ

  • We have shown that the spatial correlation of velocity orientations increases with τ, even in the presence of crystalline defects or large voids

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Summary

INTRODUCTION

The dynamics of colloidal particles at high densities have been widely explored, theoretically, numerically, and experimentally, in the last decades [1,2]. Most of the experimental studies have so far focused on the low-density regime, some novel experiments have investigated Janus particles in the case of very dense suspensions [15] Another interesting class of high-density nonequilibrium systems is represented by driven granular media where monodisperse polar grains under shaking [16] display persistent motion. Given the relevance of dense active phases in both experimental and theoretical studies, the present paper is entirely devoted to understanding the nonequilibrium features of dense phases of self-propelled disks: we show that the peculiarity of active dense systems lies in their dynamical properties and, in particular, in their interplay with the structural properties In this framework, the presence of translational and/or orientational orders plays a fundamental role

Summary of results
THE SYSTEM OF INTERACTING SELF-PROPELLED PARTICLES
Effective velocity dynamics of the particle
Known results and positional order
ORDER IN THE VELOCITIES
Velocity orientation
Kinetic energy and intermittency
Vectorial velocity field
DISCUSSION AND PERSPECTIVES
Velocity correlation function
Bond angle order and ψ6 field in the harmonic crystal
Full Text
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