We consider hydrodynamic interactions between N rigid bodies of arbitrary shape immersed in an incompressible fluid. When the bodies are carried along by an incident flow without exerting forces or torques on the fluid then their translational and rotational velocities are linearly related to...

The time-dependence of reversible diffusion-controlled reactions in a binary suspension of equal-sized spheres is studied on the basis of the time-correlation matrix of concentration fluctuations in thermal equilibrium. The transient effects are calculated in an Enskog-type approximation from...

We study the contribution of Brownian motion to the viscosity of a suspension of spherical particles immersed in an incompressible fluid. We evaluate expressions derived from linear response theory applied to the generalized Smoluchowski equation and from a cluster expansion of the response....

An expression of the Clausius-Mossotti type is derived for the macroscopic electric polarization in a medium of nonlinear polarizable point dipoles, followign the method proposed by Lorentz. The polarizing mechanism is assumed to have arbitrary nonlinear character, and no assumption on the...

We study the mechanism of small-amplitude swimming of a deformable body of finite size in a viscous incompressible fluid described by the Navier-Stokes equations. The theory is based on a perturbation expansion in powers of the amplitude of surface displacements. A nonvanishing swimming velocity...

The dipolar sound wave generated by a sudden impulse in an unbounded viscous compressible fluid is studied on the basis of the linearized Navier–Stokes equations. Due to viscosity the spherical wavefront is diffuse with a width which grows with the square root of time. The wavefront is...

We consider linear systems in which some of the variables evolve on a much faster time scale than the remaining ones. By means of a systematic perturbation theory in the time-scale ratio we extract a reduced dynamics in terms of the slow variables only, valid after an initial transient period....

We consider linear dynamical systems with motions characterized by two different time-scales. In practice the dynamical matrix in the phenomenological equations of motion often exhibits a strong coupling of the slow and fast variables. It is shown on the basis of the Onsager symmetry relations...

We study thermodynamic systems near equilibrium described by both slow and fast variables. A reduced relaxation matrix for the slow variables can be obtained from the full relaxation matrix by a systematic elimination of the fast variables. When the full relaxation matrix possesses...

The force and torque exerted on a body of arbitrary shape and constitution by a stationary radiation field are in principle given by integrals of Minkowski's stress tensor over a surface surrounding the body. Similarly the absorbed energy is given by an integral of the Poynting vector. These...