We evaluate the wavevector dependent (short-time) diffusion coefficient D(k) for spherical particles in suspension, by extending a previous study of selfdiffusion (which corresponds to the case of large k). Our analysis is valid up to high concentrations and fully takes into account the...

We extend our previously developed scheme to evaluate the static mobility tensors of an arbitrary number of spheres in a viscous fluid, to the case of finite frequencies.

Fluctuation-dissipation theorems for the random force and the random torque on a Brownian particle of arbitrary shape immersed in a fluid close to its critical point are derived from fluctuating hydrodynamics, taking also into account the temperature fluctuations in the fluid. It is assumed that...

An extension of Faxén's theorem is given for the case that n spheres move with arbitrary velocities through a fluid in non-uniform steady flow. Explicit expressions for the friction- and mutual friction tensors, valid to order R-3, where R is a typical distance between spheres, are obtained...

We calculate the concentration-dependence of the short-time self-diffusion coefficient Ds for spherical particles in suspension. Our analysis is valid up to high densities and fully takes into account the many-body hydrodynamic interactions between an arbitrary number of spheres. The importance...

The frequency dependent friction coefficient of a spherical Brownian particle of radius a in a compressible fluid close to its critical point is evaluated taking into account the large correlation length ζ of the density fluctuations in the fluid. The expression found depends for finite...

A mean-field type expression for the short-time self-diffusion coefficient is proposed and compared to recent experimental data.

The reformulation of nonequilibrium thermodynamics, to include the treatment of thermodynamic fluctuations, is applied to the hydrodynamic fluctuations of a simple fluid. It is shown that the nonequilibrium thermodynamic scheme leads to the explicit form of the Fokker–Planck equation which...

The friction coefficient for a spherical Brownian particle neat the Bénard-Rayleigh convective instability is evaluated. It is shown that sufficiently close to the instability point this coefficient tends to zero as ϵ12 · ϵ = (Rc − R)⧸RC where R is the Rayleigh number and Rc its critical...

By considering an ensemble of Brownian particles suspended in a heat bath as a thermodynamic system with an internal degree of freedom it is possible to obtain the Fokker-Planck equation for Brownian motion in a temperature gradient, by applying the scheme of non-equilibrium thermodynamics. We...