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...

Dynamical equations for the Gibbs surface excesses and bulk fields are derived using linear response theory for one-component systems. Boundary conditions linking the dynamics of the gas and liquid phases to that of the surface are obtained. In the limit where the equilibrium interfacial profile...

A generalized mode-coupling theory of the hydrodynamic variable correlations in a nonconvective classical fluid where a large temperature gradient maintains a nonequilibrium steady state is presented. The light scattering spectrum of such a system is discussed. The results are equivalent to...

Techniques for deriving the equations of motion for a heavy particle immersed in a bath of light particles have been developed for quantum systems as long as the temperature is not too low. To lowest order we obtain a Langevin equation for the momentum of the heavy particle and a Fokker-Planck...

We have investigated the relationship between Markovian master equations (m.e.) and the corresponding stochastic differential equations (s.d.e.) for closed systems, i.e., systems not subjected to external pumping. We show that the form of the fluctuations in the s.d.e., i.e., additive or...

The hydrodynamic equations for a system of inelastic granular particles are derived from first principles of statistical mechanical theory by applying projection operator techniques. An effective Liouvillian operator for the granular distribution function is derived by exploiting the fact that...

A systematic theory for the dynamics of hard-sphere suspensions of interacting Brownian particles with both hydrodynamic and direct interactions is presented. A generalized diffusion equation is derived for concentrated suspensions. The volume fraction (φ) dependence of the short- and long-time...

The study of generalized transport coefficients in two dimensions is continued. In this article, the thermal conductivity coefficient is examined. The Mori formalism is used and the set of variables consists of all finite multilinear products of two collective conserved variables, the energy...