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Title: STASTICAL THERMODYNAMICS OF MIXTURES. II. CONVERGENCE OF THE QUASI- CHEMICAL METHOD FOR THE ISING SQUARE LATTICE

Abstract

The quasi-chemical approximation of Guggenheim for calculating the thermodynamic properties of the Ising model is discussed. The Ising model is where a system of atoms is arranged on a lattice with simple nearestneighbor interactions. This model provides a more or less realistic description of many physical systems. For convenience a calculation is made of a mixture of two kinds of atoms, A and B, the forces between the atoms being such that a (nearest- neighbor) AB pair has an energy larger by an amount epsilon than the average of an AA or BB pair. The method was chosen because it provides a sequence of approximations which is believed to converge to the exact solution. (N.W.R.)

Authors:
Publication Date:
Research Org.:
Univ. of California, Livermore
Sponsoring Org.:
USDOE
OSTI Identifier:
4039984
Report Number(s):
UCRL-5842-T
Journal ID: JCPSA; 0021-9606
NSA Number:
NSA-15-023500
Resource Type:
Journal Article
Journal Name:
Journal of Chemical Physics (U.S.)
Additional Journal Information:
Journal Volume: Vol: 34; Other Information: UCRL-5842-T. Orig. Receipt Date: 31-DEC-61
Country of Publication:
United States
Language:
English
Subject:
CHEMISTRY; ALLOYS; INTERACTIONS; ISING MODEL; LATTICES; MIXING; STATISTICS; THERMODYNAMICS

Citation Formats

Brush, S G. STASTICAL THERMODYNAMICS OF MIXTURES. II. CONVERGENCE OF THE QUASI- CHEMICAL METHOD FOR THE ISING SQUARE LATTICE. United States: N. p., 1961. Web. doi:10.1063/1.1701101.
Brush, S G. STASTICAL THERMODYNAMICS OF MIXTURES. II. CONVERGENCE OF THE QUASI- CHEMICAL METHOD FOR THE ISING SQUARE LATTICE. United States. doi:10.1063/1.1701101.
Brush, S G. Sun . "STASTICAL THERMODYNAMICS OF MIXTURES. II. CONVERGENCE OF THE QUASI- CHEMICAL METHOD FOR THE ISING SQUARE LATTICE". United States. doi:10.1063/1.1701101.
@article{osti_4039984,
title = {STASTICAL THERMODYNAMICS OF MIXTURES. II. CONVERGENCE OF THE QUASI- CHEMICAL METHOD FOR THE ISING SQUARE LATTICE},
author = {Brush, S G},
abstractNote = {The quasi-chemical approximation of Guggenheim for calculating the thermodynamic properties of the Ising model is discussed. The Ising model is where a system of atoms is arranged on a lattice with simple nearestneighbor interactions. This model provides a more or less realistic description of many physical systems. For convenience a calculation is made of a mixture of two kinds of atoms, A and B, the forces between the atoms being such that a (nearest- neighbor) AB pair has an energy larger by an amount epsilon than the average of an AA or BB pair. The method was chosen because it provides a sequence of approximations which is believed to converge to the exact solution. (N.W.R.)},
doi = {10.1063/1.1701101},
journal = {Journal of Chemical Physics (U.S.)},
number = ,
volume = Vol: 34,
place = {United States},
year = {1961},
month = {1}
}