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...

In this paper a general hydrodynamic mode coupling theory of equilibrium fluctuations in simple liquids is developed from molecular considerations. The approach developed here avoids the shortcomings of previous mode coupling theories by adopting a complete hierarchy of equations for the slow...

In this paper we examine the role of mode coupling in nonequilibrium granular flow systems and derive mode coupling equations for equal-time multi-linear correlation functions in general nonequilibrium systems. By applying N-ordering analysis and projection operator techniques, the hierarchy of...

The equation of motion for the reduced density matrix of a system weakly coupled to a bath is obtained using projection operator techniques. The exact equation of motion reduces to a generalized master equation when the bath relaxation is faster than the relaxation of the system induced by the...

Within the context of a general mode-coupling theory previously developed for the description of equilibrium fluctuations in simple classical fluids, we derive an expression for the effective longitudinal viscosity includings couplings to currents so that certain key assumptions inherent in...

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...

A comparison has been made between the deterministic and stochastic (master equation) formulation of nonlinear chemical rate processes with multiple stationary states. We have shown, via two specific examples of chemical reaction schemes, that the master equations have quasi-stationary state...

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...