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...

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...

The stochastic properties of the noise in Langevin type equations are studied. It is demonstrated that the noise is non-Gaussian and that the three point noise correlation function has an exponential decay on the slow time scale. Explicit calculations for systems containing one slow linear...

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...