A generalized Kirkwood-Salsburg equation for a classical system of particles with an arbitrary stable interaction in an external potential σ(x) such that exp (- βσ) is integrable is derived. It is shown that the spectrum of the generalized Kirkwood-Salsburg operator consists of the inverses...

By introducing a collective variable the two-dimensional Landau-Ginzburg-Wilson model (classical order parameter of non-rigid magnitude) may, if the order parameter dimension exceeds one, be solved at absolute zero. A low temperature expansion about this solution is developed. The low...

A characterization of the more general De Donder-Meixner transformations in irreversible thermodynamics was performed, and some new properties of these transformations were obtained.

The mode-mode coupling theoretical expression for the decay rate of order-parameter fluctuations in simple fluids near the critical point is evaluated with the aid of the recently extended Ornstein-Zernike theory. This gives that ψ⩽ν for the critical-point exponent ψ which characterize the...

We present the complete calculation of the partition function and correlation functions of a linear array of classical spins coupled by a nearest neighbour logarithmic pair potential. In the case of a ferromagnetic coupling there occurs a phase transition at Tc 0. The critical exponents of the...

The general scaling theory of transient phenomena near the instability point, which has been proposed by one of the present authors (M.S.), is applied to investigate the fluctuation and relaxation of superradiance near the complete inversion (or instability point). An exact solution for a simple...

The local order in liquids is characterized by a set of spatially varying parameters defining a certain local lattice structure at every point in the liquid. The correlations between these parameters at different spatial positions are obtained, in the spirit of the “structural diffusion”...

Les valeurs de la viscosité des gaz rares denses mesurées par les auteurs, à la température ambiante, jusqu'à des pressions de 6000 bar, bar sont comparées à celles obtenues avec des modèles statistiques de fluides denses: Lennard-Jones, Van der Waals, sphères dures.

In this memoir we embark upon a systematic development of the theory of bundle representations and their physical applications, following the ideas which have been presented earlier. The definition of bundle representations is slightly improved (as regards continuity) and remaining gaps in the...

A relation between the second moment of the orientational correlation function: g(t) = 〈u(0)·Σu(t)〉 and the complex dielectric constant ϵ of a liquid is obtained without using dielectric theories. This relation is correct for a statistically homogeneous fluid. When the fluid shows a local...