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 (5)

• Dynamics of a homogeneous active dumbbell system
• Field theories and exact stochastic equations for interacting particle systems
• On the Brownian gas: a field theory with a Poissonian ground state
• Derivation of the nonlinear fluctuating hydrodynamic equation from underdamped Langevin equation
• Geometrical interpretation of fluctuating hydrodynamics in diffusive systems

Cited by in corpus (4)

• 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
• Theory of Capillary Tension and Interfacial Dynamics of Motility-Induced Phases
• Phase Separation, Capillarity, and Odd Surface Flows in Chiral Active Matter