Interface roughening in nonequilibrium phase-separated systems

Abstract

Interfaces of phase-separated systems roughen in time due to capillary waves. Because of fluxes in the bulk, their dynamics is nonlocal in real space and is not described by the Edwards-Wilkinson or Kardar-Parisi-Zhang (KPZ) equations, nor their conserved counterparts. We show that in the absence of detailed balance, the phase-separated interface is described by a new universality class that we term |q|KPZ. We compute the associated critical exponents via one-loop renormalization group, and corroborate the results by numerical integration of the |q|KPZ equation. Deriving the effective interface dynamics from a minimal field theory of active phase separation, we finally argue that the |q|KPZ universality class generically describes liquid-vapor interfaces in active systems.

arXiv comment6 pages, 3 figures, 1 supplemental

References in corpus (29)

• 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
• The 2019 Motile Active Matter Roadmap
• Phase behaviour of active Brownian particles: The role of dimensionality
• Scalar ${\varphi }^4$ field theory for active-particle phase separation
• State-dependent diffusion: thermodynamic consistency and its path integral formulation
• Negative interfacial tension in phase-separated active suspensions
• Generalized Thermodynamics of Phase Equilibria in Scalar Active Matter
• 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
• Interrupted Motility Induced Phase Separation in Aligning Active Colloids
• A self-driven phase transition drives Myxococcus xanthus fruiting body formation
• Traveling fronts in active-passive particle mixtures
• On Critical Exponents and the Renormalization of the Coupling Constant in Growth Models with Surface Diffusion
• Critical motility-induced phase separation belongs to the Ising universality class
• Soft yet sharp interfaces in a vertex model of confluent tissue
• Capillary interfacial tension in active phase separation
• Curvature-dependent tension and tangential flows at the interface of motility-induced phases
• Interface stability, interface fluctuations, and the Gibbs-Thomson relation in motility-induced phase separations
• Interface Fluctuations, Burgers Equations, and Coarsening under Shear
• Activity-suppressed phase separation
• Strong coupling in conserved surface roughening: A new universality class?
• Stochastic Hydrodynamics of Complex Fluids: Discretisation and Entropy Production
• The Non-local Kardar-Parisi-Zhang Equation With Spatially Correlated Noise
• Critical behavior of quorum-sensing active particles
• Phase Transition in a Out-of-equilibrium Monolayer of Dipolar Vibrated Grains
• Periodic patterns displace active phase separation

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• Active phase separation: new phenomenology from non-equilibrium physics
• Theory of Capillary Tension and Interfacial Dynamics of Motility-Induced Phases
• Nonequilibrium interfacial properties of chemically driven fluids
• Phase Coexistence in Nonreciprocal Quorum-Sensing Active Matter
• Traveling waves at the surface of active liquid crystals
• Non-equilibrium coexistence between a fluid and a hotter or colder crystal of granular hard disks
• Hyperuniform interfaces in non-equilibrium phase coexistence
• Interface dynamics of wet active systems
• Logarithmic or algebraic: roughening of an active Kardar-Parisi-Zhang surface
• Modeling growing confluent tissues using a lattice Boltzmann method: interface stability and fluctuations
• Scale-dependent sharpening of interfacial fluctuations in shape-based models of dense cellular sheets
• Conservation laws and slow dynamics determine the universality class of interfaces in active matter
• Shape-specific fluctuations of an active colloidal interface
• Active Cahn-Hilliard theory for nonequilibrium phase separation: quantitative macroscopic predictions and a microscopic derivation
• Hyperuniformity in active fluids reshapes nucleation and capillary-wave dynamics