We assess the validity of a generalized Nyquist relation connecting the imaginary part of the dynamic susceptibility with the fluctuation in the dipole moment. This equation is shown to apply only when the static limit of the dynamic susceptibility is eqaul to the corresponding isothermal...

The ergodic properties of linear and quadratic phase functions of the classical linear chain are studied for the uniform statistical distributions on the energy surface and in the manifold belonging to fixed values of the energy and the total momentum. This is done for the finite chain by using...

We present the general solution of the linear Navier-Stokes equation for incompressible viscous flow about a sphere with mixed slip-stick boundary conditions. Explicit results are obtained in cartesian coordinates. The relation with Lamb's method is indicated. We derive expressions for a set of...

The previously developed theory for the renormalization of the diffusion coefficient is applied to a particle of finite size. In the zero-wavenumber, zero-frequency limit the usual Stokes-Einstein result is obtained. The frequency-dependent Burnett coefficients are discussed and it is shown that...

We present calculations of the coarse-grained entropy Scg(t) for the model of a classical point particle enclosed in a two-dimensional box with perfectly reflecting walls. We find in comparison with the one-dimensional case that the fluctuations of Scg(t) and of the expectation values of the...

A transport equation approach is developed for the linear response of the electron-phonon system in a vibrating isotopically disordered crystal to a frequency dependent electric field. The smallness of the mutual differences of the various masses is taken into account to derive a microscopic set...

Covariant transport equations are derived for the Wigner function matrices describing the massive components of a non-degenerate eeveve-mixture. The collision terms pertaining to the various collision processes involve spin-dependent transition amplitudes which are specified in terms of an...

The two-dimensional spin one half XY model may undergo an unusual type of phase transition. A formulation of the renormalization group approach of Niemeijer and van Leeuwen suitable for quantum-mechanical systems is presented. The method is applied to the spin one half XY model on the triangular...

The identity between the exact screening length obtained from the static charge density correlation function and the one which appears in the Einstein relation between the transport coefficients of electrical conductivity and mass diffusion is demonstrated from first principles. For the...

A general treatment has been given of the problem of diagonalizing a hamiltonian which is a homogeneous quadratic expression in a finite number of boson construction operators. The treatment provides us with several systematic procedures to diagonalize such hamiltonians in practice; each algorithm...