Onsager's integral expression for the distribution function of oppositely charged ion pairs in a weak electrolyte in the presence of a uniform external electric field is rewritten as a sum of ordinary Bessel functions ranging from order zero to order plus infinity. Starting from this result a...

A description of the low- and high-temperature behavior of liquid He is given in terms of an extended Matsubara-Matsuda lattice model. Paying particular attention to the kinematical interaction and to the hard core of the bosons leads to a unified theory for the low-temperature behavior and for...

A quantal counterpart of the theory of Zwanzig, and Mori and Fujisaka for the renormalization of kinetic coefficients is investigated. The relation between linear and bare kinetic coefficients is discussed quantum mechanically.

We develop formal solutions for the propagation of transient pulses on a variety of bi-lattice models. The lattices are composed of a finite homogeneous chain connected in series with a different semi-infinite homogeneous chain at a common location occupied by a single mass which is different...

A method to obtain the analytic form of limit cycles is presented from a viewpoint of constants of motion in dissipative systems. The method is applied to the Lorenz equation in the high-Rayleigh-number limit. The analytic form of the simplest limit cycle is obtained, which is in a good...

The main approximations used in the theory of dielectric liquids previously developed by the author (1976) are discussed. They are shown to be widely justifiable in the framework of the Yvon-Kirkwood model, treating the polarisability as a molecular constant, independent of the thermodynamical...

The conditions under which the phase space trajectories of a perturbed Hamiltonian system preserve conditional periodicity are investigated. It is shown that the sufficient and necessary condition for the stability of the system is the self-adjointness of the Liouville operator in the Hilbert...

Mishkin's analytical treatment of ultrashort light pulse propagation in a resonant two-level medium is extended to discuss quantitatively the behavior of the pulse area, pulse energy, pulse shape, and initial population inversion density. The relationship of these properties to physically...

Using accurate binary diffusion coefficients obtained over a temperature range of 275 to 323 K, together with some excellent second virial coefficients in the literature, (m, 6, 8) potential parameters have been obtained for the systems He-Ne, He-Ar, He-Kr, He-Xe, Ne-Ar, Ne-Kr, Ne-Xe, Ar-Kr and...

The Van Hove self-correlation function, the intermediate incoherent scattering function and its Laplace transform are determined asymptotically for a one component fluid in equilibrium, using the mode coupling theory. The results reproduce in the hydrodynamic limit the predictions from Fick's...