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...

A general mode-mode coupling theory is developed for the microscopic mass, energy and momentum densities of a simple classical fluid. A projection operator method is employed to derive a generalized Langevin equation that contains nonlinearities of all orders with both convective and dissipative...

Under the assumption that structural relaxation is dominated by the decay of clusters of particles, we develop a microscopic theory for transport in a strongly supercooled liquid. By introducing a local order parameter that describes the geometry of particle aggregates in addition to the number...

In this paper a mode coupling theory for equilibrium tagged particle correlation functions in simple fluids is developed from molecular considerations. The mode coupling formalism developed in a previous paper [Physica A 181 (1992) 89] to describe equilibrium fluctuations in simple liquids is...

Slow dynamics of equilibrium hard-sphere colloidal suspensions near the glass transition is discussed from a new viewpoint by numerically solving a cubic nonlinear stochastic diffusion equation for the density fluctuation recently proposed by one of the present authors (MT). The important role...

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...

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...

The rotational Brownian motion of a large particle is considered in terms of mode-mode coupling theory. A modified Debye law for the rotational diffusion coefficient is obtained.

We construct a formal mode coupling theory for hydrodynamic systems which includes contributions from all powers of the hydrodynamic variables. This theory is applied to nonequilibrium steady state systems. A generalization of the local equilibrium distribution is used to describe the...