GENERAL STRUCTURE OF THE THOMAS-FERMI EQUATION OF STATE

被引:17
作者
BAKER, GA
JOHNSON, JD
机构
[1] Theoretical Division, Los Alamos National Laboratory, University of California, Los Alamos
来源
PHYSICAL REVIEW A | 1991年 / 44卷 / 04期
关键词
D O I
10.1103/PhysRevA.44.2271
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We derive the behavior of the Thomas-Fermi equation of state near both the "hot-curve" (the limit as T --> infinity for a fixed de Broglie length) and the "cold-curve" (the zero-temperature isotherm) by using perturbation methods. We derive efficient computational formulas for the coefficients in these expansions using Pade methods. We are able to meld all of these results into a structurally correct representation of the Thomas-Fermi fluid pressure. We indicate how this representational structure can be used to construct the equation of state for realistic materials over large ranges of temperature and pressure. We also discuss the computation of the degree of ionization with and without the exchange correction.
引用
收藏
页码:2271 / 2283
页数:13
相关论文
共 13 条
[1]  
Abrikosov A. A., 1963, METHODS QUANTUM FIEL
[2]  
BAKER GA, 1981, PADE APPROXIMANTS 2, V14
[3]  
BAKER GA, 1990, 13TH P INT WORKSH CO
[4]  
BAKER GA, 1981, PADE APPROXIMANTS 1, V13
[5]   EXTENSION OF THE THOMAS-FERMI-DIRAC STATISTICAL THEORY OF THE ATOM TO FINITE TEMPERATURES [J].
COWAN, RD ;
ASHKIN, J .
PHYSICAL REVIEW, 1957, 105 (01) :144-157
[6]  
Dirac PAM, 1930, P CAMB PHILOS SOC, V26, P376
[7]   A statistical Method for Determining some Properties of the Atoms and its Application to the Theory of the periodic Table of Elements [J].
Fermi, E. .
ZEITSCHRIFT FUR PHYSIK, 1928, 48 (1-2) :73-79
[8]   EQUATIONS OF STATE OF ELEMENTS BASED ON THE GENERALIZED FERMI-THOMAS THEORY [J].
FEYNMAN, RP ;
METROPOLIS, N ;
TELLER, E .
PHYSICAL REVIEW, 1949, 75 (10) :1561-1573
[9]  
GELLMANN M, 1957, PHYS REV, V106, P364, DOI 10.1103/PhysRev.106.364
[10]  
HUANG K, 1963, STATISTICAL MECHANIC