Intermittent relaxation and avalanches in extremely persistent active matter

We use numerical simulations to study the dynamics of dense assemblies of self-propelled particles in the limit of extremely large, but finite, persistence times. In this limit, the system evolves intermittently between mechanical equilibria where active forces balance interparticle interactions. We develop an efficient numerical strategy allowing us to resolve the statistical properties of elastic and plastic relaxation events caused by activity-driven fluctuations. The system relaxes via a succession of scale-free elastic events and broadly distributed plastic events that both depend on the system size. Correlations between plastic events lead to emergent dynamic facilitation and heterogeneous relaxation dynamics. Our results show that dynamical behaviour in extremely persistent active systems is qualitatively similar to that of sheared amorphous solids, yet with some important differences.

Automated summary

In this study, we simulate the dynamics of dense assemblies of self-propelled particles with extremely large but finite persistence times. The system undergoes intermittent evolution between mechanical equilibria and active force balance, leading to elastic and plastic relaxation events. These events are scale-free and dependent on system size, and the correlations between plastic events result in emergent dynamic facilitation and heterogeneous relaxation dynamics.