An inversion procedure is used to obtain from the extended law of corresponding states the interaction potential over a range of reduced temperature extending from 0.5 to 25. This directly determined potential is in excellent agreement with the Lee potentials in the intermediate region. The...

The critical behaviour of systems with short-range interactions in which the free energy has divergent second derivatives is shown to be unstable under small perturbations. The perturbations can arise from additional terms in the hamiltonian with a long-range nature, but also from hidden...

The differential real space renormalization method, recently introduced by Hillhorst et al., is applied to the linear Ising chain. It is shown that chains with spatially homogeneous as well as inhomogeneous or quenched random interactions can be treated. For the first two cases the free energy...

This paper is devoted to the application of the projection methods of the nonrelativistic quantum theory of scattering (the method of Petrov-Bubnov-Galerkin (PBG) and the Bubnov-Galerkin (BG) method) in the statistical theory of liquids. By means of the projection PBG method we have found a new...

The theory developed in a previous paper is applied to the special case of rough surfaces. An existing controversy is discussed and resolved within the context of our theory. Formulae for the frequency dispersion of the scattered light due to motion of the interface are also given which makes...

An exact Markovian kinetic equation for a classical system of particles interacting via pair forces is derived by means of Bogoljubov's Generating Functional method. A nondiverging collision integral is obtained for Coulomb plasmas, which takes into account the screening effects and the energy...

We shall construct a hierarchy of subclasses of the 16-vertex model having qualitatively different symmetry properties. We determine the bifurcation points in the parameter space of the model where new symmetry elements are added to the invariance group of the partition function. In this paper...

The covariant entropy law is derived for an arbitrary choice of the hydrodynamic velocity field. The effects of the choices of Eckart and of Landau and Lifshits are shown.

We present a corresponding states analysis of existing data on sound velocity, transport coefficients and intermolecular interaction times of a number of simple fluids. With appropriate choices of parameters for the intermolecular pair potential, such properties as the adiabatic sound velocity,...

It is shown that the local existence of certain thermodynamic potentials allows for the complete diagonalization of thermodynamic stability conditions, so that only one-dimensional extrema have to be investigated.