Physical Sciences and Mathematics Commons^™

Spin Systems On Hierarchical Lattices. Introduction And Thermodynamic Limit, Robert B. Griffiths, Miron Kaufman

Miron Kaufman

A number of exactly soluble models in statistical mechanics can be produced with the use of spins interacting with nearest neighbors on a hierarchical lattice. A general definition and several examples of such lattices are given, and the topological properties of one of these, the "diamond" lattice, are discussed in detail. It is shown that the free energy has a well-defined thermodynamic limit for a large class of discrete spin models on hierarchical lattices.

First-Order Transitions In Defect Structures At A Second-Order Critical Point, Miron Kaufman, Robert B. Griffiths

Miron Kaufman

On certain hierarchical lattices the order parameter on a defect line increases discontinuously at the bulk critical temperature for q-state Potts models when q is sufficiently large, even though the bulk order parameter increases continuously. It is suggested that the same behavior may occur for two-dimensional lattices with 2 < q <= 4.

Study Of Lattice Instabilities In Snx Euy-X Mo6s8 (Y=1.0 And 1.2), Paul D. Hambourger, J. C. Ho, C. Y. Huang, H. L. Luo

Physics Faculty Publications

An anomaly in the heat capacity of Eu_1.2Mo₆S₈ at ∼120 K (T₀) has been observed and identified as a structural transformation. The heat capacity, electrical resistance, and Hall coefficient for the Eu-rich pseudoternaries have been measured under pressure to obtain the pressure dependence of T₀. The depression of T₀ by pressure is used to explain the pressure dependence of the superconducting transition temperature and the anomalous temperature dependence of the critical field.

Thermodynamic Model For Tricritical Mixtures With Application To Ammonium, Miron Kaufman, Robert B. Griffiths

Miron Kaufman

Procedures are developed for using composition data in the three-phase region and variations of meniscus heights to determine the parameters needed to relate a classical thermodynamic model for fluid mixtures near tricritical points to actual experiments. In the case of the mixture ammonium sulfate + water + ethanol + benzene the result is a reasonably good fit to a variety of data, including light scattering measurements of intensity and correlation length. There is some evidence for deviations from the classical theory, but it is not unambiguous.

Infinite Susceptibility At High Temperatures In The Migdal-Kadanoff Scheme, Miron Kaufman, Robert B. Griffiths

Miron Kaufman

The Migdal-Kadanoff real-space renormalisation group scheme applied to the Ising and classical XY (and probably other) ferromagnetic models yields an infinite susceptibility at all temperatures above the critical temperature for a hypercubic lattice of dimension d > 2.

The Gamut: A Journal Of Ideas And Information, No. 05, Winter 1982, Cleveland State University

The Gamut Archives

CONTENTS OF ISSUE NO.5, WINTER, 1982

Dennis Eckart interviewed by Louis Milic, 3

A freshman member of Congress describes his day-to-day work in the House of Representatives.

Richard Feinberg. Muskrats of Brady Lake: A Case of American Totemism, 20

In this Ohio community, representing a cross-section of Middle-America, may be observed a number of practices that in a primitive society an anthropologist would label as "totemism."

Jack A. Soules: Building the Energy House, 27

Physics professor tells the pains, prices, and rewards of designing and building his own energy-efficient house.

Prudence Tucker Heller: Collecting Islands, 40 …