Stochastic dynamics of collective modes for Brownian dipoles

Abstract

The individual motion of a colloidal particle is described by an overdamped Langevin equation. When rotational degrees of freedom are relevant, these are described by a corresponding Langevin process. Our purpose is to show that the microscopic local density of colloids, in terms of a space and rotation state, also evolves according to a Langevin equation. The latter can then be used as the starting point of a variety of approaches, ranging from dynamical density functional theory to mode-coupling approximations.

References in corpus (16)

• Langevin Equation for the Density of a System of Interacting Langevin Processes
• Ideal glass transitions for hard ellipsoids
• Dynamical field theory for glass-forming liquids, self-consistent resummations and time-reversal symmetry
• Dynamical density functional theory for colloidal particles with arbitrary shape
• Magnetization dynamics: path-integral formalism for the stochastic Landau-Lifshitz-Gilbert equation
• Mode-coupling theory and the fluctuation-dissipation theorem for nonlinear Langevin equations with multiplicative noise
• Magnetic relaxation of a system of superparamagnetic particles weakly coupled by dipole-dipole interactions
• Dynamics of a homogeneous active dumbbell system
• Field theories and exact stochastic equations for interacting particle systems
• Equilibrium dynamics of the Dean-Kawasaki model: MCT and beyond
• On the controversy over the stochastic density functional equations
• Differently Shaped Hard Body Colloids in Confinement: From passive to active particles
• On the Brownian gas: a field theory with a Poissonian ground state
• Mode coupling theory in the FDR-preserving field theory of interacting Brownian particles
• Derivation of the nonlinear fluctuating hydrodynamic equation from underdamped Langevin equation
• Geometrical interpretation of fluctuating hydrodynamics in diffusive systems

Cited by in corpus (6)

• Classical dynamical density functional theory: from fundamentals to applications
• Dipole-dipole correlations and the Debye process in the dielectric response of non-associating glass forming liquids
• Linear complex susceptibility of long range interacting dipoles acted on by thermal agitation and weak external ac fields
• Theory of Capillary Tension and Interfacial Dynamics of Motility-Induced Phases
• Stochastic dynamics and thermodynamics around a metastable state based on the linear Dean-Kawasaki equation
• Phase Separation, Capillarity, and Odd Surface Flows in Chiral Active Matter