By using the irreducible double-time temperature Green functions a Dyson equation for the transverse Ising paramagnet has been derived. In the lowest order approximation the results are in agreement with one-dimensional exact results and series expansion methods.

Static properties of a particle moving in an anharmonic potential in equilibrium with a temperature bath and an external field are discussed in the framework of classical statistical mechanics. This model system represents the basic unit in current theories of structural phase transitions....

We establish necessary and sufficient conditions for a certain class of multicomponent Gaussian generalized stochastic fields to have the Markov property proposed by Wong. In an earlier paper by the present author, Wong's notion of Markov property was compared with another notion of Markov...

The theory of non-equilibrium thermodynamics is applied to a multi-component system containing an interface using a method developed by Bedeaux, Albano, and Mazur. A singular mass density is allowed at the interface as well as singular densities of energy and entropy. All currents are also...

An expression for the force on a sphere moving with a time-dependent velocity through an incompressible fluid in nonstationary, nonhomogeneous flow is obtained for the case of arbitrary slip on the surface of the sphere.

The Van der Waals model for transport properties which forms a very satisfactory basis for the interpretation of dense-gas transport-coefficient data, is applied to dilute gases to determine the effect of attractive forces between real molecules on the values of transport coefficients. It is...

A cluster analysis optimization technique for partitioning data is applied to a class of distributions which are functions of a single variable. It is shown that under certain realizable conditions an infinitesimal change in the data distribution causes a large, abrupt change in the location of...

The fluctuation in the number of collision suffered by particles as they slow down in a moderating medium is studied via a probability balance equation. The equation describes the collision history of foreign particles slowing down in a host medium and also accounts for the recoil particles...

Supergravity is described in terms of Schwinger's formalism for Fermi-Bose transformations.