
Accession Number : AD0630167
Title : EXACT SOLUTIONS FOR A SEMIINFINITE SQUARE LATTICE GAS,
Corporate Author : HARRY DIAMOND LABS WASHINGTON D C
Personal Author(s) : Karayianis,N. ; Morrison,C. A. ; Wortman,D. E.
Report Date : FEB 1966
Pagination or Media Count : 24
Abstract : The problem of a twodimensional lattice gad with nearest neighbor infinite repulsion is considered by obtaining exact solutions for a sequence of semiinfinite spaces. The exact solutions are obtained for M x infinity spaces with 2 < or = M < or = 14 in even steps, and although there are no phase transitions in these spaces, a criterion for the point of 'closet approach' to a phase transition is established. The values of the thermodynamic variables evaluated at this point for each M are extrapolated to obtain the properties of the twodimensionally infinite space. The data indicate a thirdorder phase transition occurring with probably infinite compressibility at an activity z = 3.799, a density = 0.7356, and a pressure = 0.7914. The density is obtained by a rigorous differentiation of the secular determinant that determines the value of the pressure for a given z, thus securing the accuracy of the calculations and enabling the extrapolated values of the thermodynamic variables to be estimated with good precision. (Author)
Descriptors : (*STATISTICAL MECHANICS, GASES), PHASE STUDIES, THERMODYNAMICS, SEQUENCES(MATHEMATICS)
Subject Categories : Physical Chemistry
Distribution Statement : APPROVED FOR PUBLIC RELEASE