We compute the isotherms and phase diagram in the constant coupling approximation for an Ising metamagnet with various values for the ratio of the ferromagnetic to the antiferromagnetic coupling parameters. The constant coupling method is set up entirely with the internal fields as the variation...

The existence of the conditional entropy in the thermodynamic limit for a class of long range compatible observables operating on a quantum lattice is exhibited for the microcanonical ensemble. This limit is demonstrated first along a special sequence of cubes with a fixed contraction parameter....

A position-space renormalization transformation is obtained for the discrete gaussian model by a bond moving approximation. Our results can be translated in terms of the Coulomb gas, which is related to the discrete gaussian model, and yield in the low density regime of that model a behaviour...

In this paper we lay the groundwork for the molecular derivation of the macroscopic equations describing the temporal behavior of two-phase systems. A description of the system in terms of the bulk densities and the multipole moments of the surface excess densities is developed. The exact...

The second dielectric virial coefficient is evaluated for nonspherical polar fluids and compared with the experimental data of NH3 and CH3F.

We study the phase separation of binary ionic mixtures involving two species of classical point ions in a rigid uniform neutralizing background of degenerate electrons. The thermodynamic properties of the ionic fluid are calculated on the basis of the HNC integral equation for the three partial...

A thermodynamic analysis of the oscillatory convective instability in a binary liquid mixture subject to a vertical temperature gradient is presented. From this analysis it follows that the oscillatory convective instability arises from the competition between a stabilizing effect with a long...

The kinetic equations for the 2-time conditional probability density are derived for Coulomb systems and coupled one-dimensional harmonic oscillators. The coupled oscillators are also treated exactly. The exact second central moment of the space coordinate is compared with that derived from the...

A special type of reaction in a uniform system with two reactants is considered which is a generalization of the first Lotka scheme. Using the Poincaré-Bendixson theorem the analytical conditions for the existence of limit cycles are derived and some examples are treated numerically in the...

A generalized critical point is characterized by the vanishing of certain linear relationships. In particular, the dynamics near such a point are non-linear. In this paper, we study fluctuations at such points of spatially homogeneous systems. We discuss thermodynamic critical points as a...