Through a formalism previously developed by the author in connection with the static problem, the phenomenon of dielectric relaxation in polar liquids is described without employing the hypothesis of the dielectric continuum. The final equation of the theory, which predicts the correct high...

We study the time evolution of a large system consisting of two kinds of particles that can be transformed into each other by (a) an external potential with momentum mixing and (b) a uniform and random distribution of static, short-ranged scattering centers. Integral eqautions are solved exactly...

The concept of thermodynamic limit in a stronger sense is introduced for random systems. It is then shown that the thermodynamic limit exists in the stronger sense for the one-dimensional random Ising model, under the assumption that the exchange integrals take values within a bounded interval....

The diffusion coefficient for a mixture of electrons and electronic neutrinos is calculated as a function of the temperature.

The random mixture of the ferro- and antiferromagnetic exchange integrals (bonds) on a triangular cactus tree, which represents properties of the close packed lattices (and also of the Kagome lattice), such as the plane triangular lattice and the fcc lattice, is discussed. It is shown that the...

A complete description of the kinetic behavior of a moderately dense gas requires an assessment of the effects of three-particle correlations. These correlations are of both a statistical and a dynamical nature. For a gas of hard spheres they can be classified as related to sequences of one,...

We consider a non-equilibrium deviation of the one-particle distribution function satisfying the (modified) linearized Enskog equation and we prove that such a deviation disappears in the long term. Our proof reveals some interesting properties of the N-particle Liouville operator for hard spheres.

The time evolution of the phase space distribution function for a classical particle in contact with a heat bath and in an external force field can be described by a kinetic equation. From this starting point, for either Fokker-Planck or BGK (Bhatnagar-Gross-Krook) collision models, we derive,...

The Monte-Carlo method is used to investigate the statistical physics of the Maier-Saupe model on square and triangle lattices. These systems are found to exhibit higher than first order phase transitions except for the negative coupling square lattice case. The transition is signaled by a...

Transport processes in a rarefied gas are treated phenomenologically by means of generalized hydrodynamics with appropriate boundary conditions. The integral mass and heat flows through a capillary of arbitrary width are calculated from the differential constitutive laws and boundary conditions....