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Author Dickman, R. ♦ Stell, G.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword PHYSICS ♦ GASES ♦ LATTICE PARAMETERS ♦ STRUCTURE FACTORS ♦ SELF-CONSISTENT FIELD ♦ THREE-DIMENSIONAL CALCULATIONS ♦ COMPRESSIBILITY ♦ SPECIFIC HEAT ♦ CRITICAL TEMPERATURE ♦ DENSITY ♦ CRITICALITY ♦ ISOTHERMAL PROCESSES ♦ CORRELATION FUNCTIONS ♦ LATTICE GAS ♦ CORRELATION LENGTH ♦ CRITICAL EXPONENTS
Abstract A self-consistent approximation for the structure factor of three-dimensional lattice gases yields remarkably accurate predictions (less than 3{percent} error over most of the temperature range) for the correlation length, isothermal compressibility, specific heat, and the coexistence curve. Critical temperatures agree to within 0.2{percent}, and other critical properties to within (1{endash}2){percent}, of the best numerical estimates. Until temperature and density are within 1{percent} of their critical values, the approximate {ital effective} critical exponents do not differ appreciably from their estimated exact form; they attain their limiting spherical-model values only much closer to critical. The method should prove useful for a variety of three-dimensional lattice-gas and fluid problems; it is inappropriate to two dimensions, where it predicts criticality at zero temperature. {copyright} {ital 1996 The American Physical Society.}
ISSN 00319007
Educational Use Research
Learning Resource Type Article
Publisher Date 1996-08-01
Publisher Place United States
Journal Physical Review Letters
Volume Number 77
Issue Number 6


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