Dynamical density functional theory for colloidal particles with arbitrary shape

Abstract

Starting from the many-particle Smoluchowski equation, we derive dynamical density functional theory for Brownian particles with an arbitrary shape. Both passive and active (self-propelled) particles are considered. The resulting theory constitutes a microscopic framework to explore the collective dynamical behavior of biaxial particles in nonequilibrium. For spherical and uniaxial particles, earlier derived dynamical density functional theories are recovered as special cases. Our study is motivated by recent experimental progress in preparing colloidal particles with many different biaxial shapes.

9 pages, 1 figure

References in corpus (12)

• Phase diagram of patchy colloids: towards empty liquids
• Disordered, Quasicrystalline and Crystalline Phases of Densely Packed Tetrahedra
• Non-equilibrium clustering of self-propelled rods
• Derivation of the phase field crystal model for colloidal solidification
• Dynamical density functional theory for molecular and colloidal fluids: a microscopic approach to fluid mechanics
• Dynamical density functional theory with hydrodynamic interactions and colloids in unstable traps
• Anisotropic colloids through non-trivial buckling
• Gel-forming patchy colloids and network glass formers: Thermodynamic and Dynamic analogies
• Exotic fluids and crystals of soft polymeric colloids
• Phase diagram of self-assembled rigid rods on two-dimensional lattices: Theory and Monte Carlo simulations
• Entropy-driven enhanced self-diffusion in confined reentrant supernematics
• Microscale swimming: The molecular dynamics approach

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• Collective dynamics of active Brownian particles in three spatial dimensions: a predictive field theory
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• Controlling the microstructure and phase behavior of confined soft colloids by active interaction switching
• Introduction to colloidal dispersions in external fields
• Arrested States in Persistent Active Matter: Gelation without Attraction
• Jerky active matter: a phase field crystal model with translational and orientational memory
• Multi-species dynamical density functional theory for microswimmers: derivation, orientational ordering, trapping potentials, and shear cells
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• Particle-scale statistical theory for hydrodynamically induced polar ordering in microswimmer suspensions
• Isotropic-nematic transition of self-propelled rods in three dimensions
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• Monolayers of hard rods on planar substrates: II. Growth
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• Dynamical density functional theory for the diffusion of injected Brownian particles
• Colloidal suspensions of C-particles: Entanglement, percolation and microrheology
• Biaxial nematic order in fundamental measure theory
• Hard rectangles near curved hard walls: tuning the sign of the Tolman length
• Well-Posedness and Equilibrium Behaviour of Overdamped Dynamic Density Functional Theory
• Precisely controlled colloids: A playground for path-wise non-equilibrium physics
• Spatially heterogeneous dynamics and locally arrested density fluctuations from first-principles
• Effect of anisotropy on the formation of active particle films
• Dynamic Density Functional Theory with Inertia and Background Flow
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• Active Cahn-Hilliard theory for nonequilibrium phase separation: quantitative macroscopic predictions and a microscopic derivation
• Inertial dynamics of an active Brownian particle
• Dynamical phase transitions in two-dimensional Brownian Matter