Critical Motility-Induced Phase Separation in Three Dimensions is Consistent with Ising Universality

Abstract

Identifying the universality class of critical active phase transitions has been the subject of recent interest and controversy. Resolving these controversies will require robust numerical investigations to determine whether active critical exponents point to novel universality classes or are consistent with established ones. Here, we conduct large-scale computer simulations and a finite-size scaling analysis of the motility-induced phase separation (MIPS) of active Brownian hard spheres in three dimensions (3D), finding that the static and dynamic critical exponents all closely match those of the 3D Ising universality class with a conserved scalar order parameter. This finding is corroborated by a fluctuating hydrodynamic description of the critical dynamics of the order parameter field which flows to the Wilson-Fisher fixed point in three dimensions. Our work suggests that 3D MIPS and likely the entire phase diagram of active Brownian hard spheres is similar to that of molecular passive fluids despite the absence of Boltzmann statistics.

References in corpus (33)

• SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
• Motility-Induced Phase Separation
• Dynamical clustering and phase separation in suspensions of self-propelled colloidal particles
• Athermal Phase Separation of Self-Propelled Particles with no Alignment
• Statistical Mechanics of Interacting Run-and-Tumble Bacteria
• Universality classes in nonequilibrium lattice systems
• A continuum theory of phase separation kinetics for active Brownian particles
• Phase behaviour of active Brownian particles: The role of dimensionality
• Critical Coarsening without Surface Tension: the Voter Universality Class
• Scalar ${\varphi }^4$ field theory for active-particle phase separation
• Directed percolation criticality in turbulent liquid crystals
• Cooperative Motion of Active Brownian Spheres in Three-Dimensional Dense Suspensions
• Entropy production in field theories without time reversal symmetry: Quantifying the non-equilibrium character of active matter
• Cluster phases and bubbly phase separation in active fluids: Reversal of the Ostwald process
• Motility-induced temperature difference in coexisting phases
• Non-perturbative renormalization group for the Kardar-Parisi-Zhang equation
• A Reanalysis of the Hydrodynamic Theory of Fluid, Polar-Ordered Flocks
• Motility-Induced Microphase and Macrophase Separation in a Two-Dimensional Active Brownian Particle System
• Universal scaling of active nematic turbulence
• Critical behavior of active Brownian particles
• Phase Diagram of Active Brownian Spheres: Crystallization and the Metastability of Motility-Induced Phase Separation
• Self-Organized Critical Coexistence Phase in Repulsive Active Particles
• Critical motility-induced phase separation belongs to the Ising universality class
• Microscopic Origins of the Swim Pressure and the Anomalous Surface Tension of Active Matter
• Phase separation and multibody effects in three-dimensional active Brownian particles
• Universality class of the motility-induced critical point in large scale off-lattice simulations of active particles
• Mechanical Theory of Nonequilibrium Coexistence and Motility-Induced Phase Separation
• From bulk to microphase separation in scalar active matter: A perturbative renormalization group analysis
• Interparticle torques suppress motility-induced phase separation for rodlike particles
• The stability phase diagram of active Brownian particles
• Theory of Capillary Tension and Interfacial Dynamics of Motility-Induced Phases
• A new universality class describes Vicsek's flocking phase in physical dimensions
• Theory for the Anomalous Phase Behavior of Inertial Active Brownian Particles