The Fokker–Planck equation for the translational modes of an inelastic system of Brownian particles in a non-equilibrium bath of light particles is derived from first principles of statistical mechanics. The bath and internal modes relax on a time scale that is much shorter than that of the...

The Fokker-Planck equation of a system of several Brownian particles immersed in a non-equilibrium bath of light particles is derived from first principles of statistical mechanics using time-dependent projection operators. The Fokker-Planck equation contains the usual equilibrium streaming and...

By introducing an order parameter that describes the geometry of clusters of particles, Liu and Oppenheim [Physica A 247 (1997) 183] developed a microscopic theory for hopping transport in glass-forming liquids. In this work we bring this theory within the frame of mode coupling theories in the...

We consider a system consisting of n Brownian particles of arbitrary shape, with internal degrees of freedom, in a both of N spherical bath particles. We obtain a generalized Fokker-Planck equation for the distribution function, W(Qn,Pn,t), where Qn and Pn denote the generalized coordinates and...

The effects of spatial heterogeneities on the slow dynamics of density fluctuations are discussed both in an equilibrium colloidal suspension and in a slightly nonequilibrium colloidal suspension. The long-lived, heterogeneous glassy domains appear near the glass transition and influence the...

Fluctuations of a large and heavy spherical Brownian particle (B) in an equilibrium fluid are rigorously studied by using two kinds of methods for asymptotic evaluation proposed by Mori; a projection operator method and a scaling method. It is shown that depending on the relative magnitudes of...

Thermodynamic implications of various forms for the electromagnetic stress tensor are examined for polarizable media subject to an electromagnetic field. It is found that the Minkowski stress tensor for ponderable matter yields the simplest mathematical structure for constructing a theory of...

The low density form of the generalized frequency (s) and wavevector (k) dependent self-diffusion coefficient D(k, s) is calculated, from which the low density forms of related quantities, e.g. the velocity autocorrelation function, are derived. Agreement is obtained with the low density kinetic...