Critical behaviour in active lattice models of motility-induced phase separation

Florian Dittrich, Thomas Speck, Peter Virnau

Published 2020-10-16Version 1

As for the study of equilibrium phase transitions, coarse-grained discrete lattice models feature a computationally more efficient route to investigate the motility-induced phase separation (MIPS) of active particles compared to off-lattice systems. Simulations are less demanding and thus bigger systems with higher accuracy and better statistics can be accessed. Nevertheless, at least in equilibrium the properties of critical points are not affected and fall into the same universality class. Whether this hallmark of statistical physics holds also for active particles is an open challenge. Here, we examine two recently proposed active lattice systems that undergo MIPS with respect to their critical behaviour. We also take a more detailed look on the influence and role of rotational diffusion and active velocity in these systems.