NONLINEAR DIFFUSION AND DENSITY FUNCTIONAL THEORY

被引：40

作者：

DIETERICH, W ^{[1
]}

FRISCH, HL ^{[1
]}

MAJHOFER, A ^{[1
]}

机构：

[1] SUNY ALBANY, DEPT CHEM, ALBANY, NY 12222 USA

来源：

ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER | 1990年 / 78卷 / 02期

关键词：

D O I：

10.1007/BF01307852

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

A phenomenological dynamic extension of the classical density functional theory is proposed. Our evolution equation for the density has the form of a generalized Smoluchowski equation which involves a correlation potential to be derived from the microscopic theory. By means of an expansion in terms of generalized Hermite polynomials we also present numerical results for simple cases of nonlinear diffusion. © 1990 Springer-Verlag.

引用

收藏

页码：317 / 323

页数：7

相关论文

共 16 条

[1]

[Anonymous], 1926, FONCTIONS HYPERGEOME

[2] ON SPINODAL DECOMPOSITION [J].

CAHN, JW .

ACTA METALLURGICA, 1961, 9 (09) :795-801

[3] FREE ENERGY OF A NONUNIFORM SYSTEM .1. INTERFACIAL FREE ENERGY [J].

CAHN, JW ;

HILLIARD, JE .

JOURNAL OF CHEMICAL PHYSICS, 1958, 28 (02) :258-267

[4] INTEGRAL-EQUATIONS FOR FLUIDS WITH LONG-RANGE AND SHORT-RANGE POTENTIALS - APPLICATION TO A CHARGED-PARTICLE SYSTEM [J].

CHIHARA, J .

PROGRESS OF THEORETICAL PHYSICS, 1973, 50 (02) :409-423

[5]

Crank J., 1979, MATH DIFFUSION, V2nd

[6] THEORETICAL-MODELS FOR SUPERIONIC CONDUCTORS [J].

DIETERICH, W ;

FULDE, P ;

PESCHEL, I .

ADVANCES IN PHYSICS, 1980, 29 (03) :527-605

[7] NATURE OF THE LIQUID-VAPOR INTERFACE AND OTHER TOPICS IN THE STATISTICAL-MECHANICS OF NONUNIFORM, CLASSICAL FLUIDS [J].

EVANS, R .

ADVANCES IN PHYSICS, 1979, 28 (02) :143-200

[8] THE PROFILE OF A STEADY PLANE SHOCK WAVE [J].

GRAD, H .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1952, 5 (03) :257-300

[9] ON THE KINETIC THEORY OF RAREFIED GASES [J].

GRAD, H .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1949, 2 (04) :331-407

[10] NOTE ON N-DIMENSIONAL HERMITE POLYNOMIALS [J].

GRAD, H .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1949, 2 (04) :325-330