Chemical diffusion in an interacting lattice gas: Analytic theory and simple applications

被引：23

作者：

Gortel, ZW ^{[1
]}

Zaluska-Kotur, MA

机构：

[1] Univ Alberta, Dept Phys, Edmonton, AB T6G 2J1, Canada

[2] Polish Acad Sci, Inst Phys, PL-02668 Warsaw, Poland

来源：

PHYSICAL REVIEW B | 2004年 / 70卷 / 12期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1103/PhysRevB.70.125431

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A variational approach to microscopic kinetics of an interacting lattice gas is presented. It accounts for the equilibrium correlations in the system and allows one to derive an algebraic expression for the particle density (coverage) dependent chemical diffusion coefficient for a wide variety of interaction models. Detailed derivation is presented for a one dimensional case for which the results are compared with the results of Monte Carlo simulations. Generalization and an application to the simplest case of the two dimensional lattice gas is briefly described.

引用

收藏

页码：125431 / 1

页数：25

相关论文

共 27 条

[1] Collective and single particle diffusion on surfaces [J].

Ala-Nissila, T ;

Ferrando, R ;

Ying, SC .

ADVANCES IN PHYSICS, 2002, 51 (03) :949-1078

[2] Transport of adsorbates at metal surfaces: From thermal migration to hot precursors [J].

Barth, JV .

SURFACE SCIENCE REPORTS, 2000, 40 (3-5) :75-149

[3] Lattice-gas theory of collective diffusion in adsorbed layers [J].

Danani, A ;

Ferrando, R ;

Scalas, E ;

Torri, M .

INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 1997, 11 (19) :2217-2279

[4] Step and island dynamics at solid/vacuum and solid/liquid interfaces [J].

Giesen, M .

PROGRESS IN SURFACE SCIENCE, 2001, 68 (1-3) :1-153

[5] DIFFUSION OF ADSORBATES ON METAL-SURFACES [J].

GOMER, R .

REPORTS ON PROGRESS IN PHYSICS, 1990, 53 (07) :917-1002

[6]

Gradshteyn Izrail Solomonovich, 2014, Table of Integrals, Series, andProducts, VEighth

[7] Intrarow diffusion of Au atoms in the Si(111)-(5x2)Au structure [J].

Hasegawa, T ;

Hosoki, S .

PHYSICAL REVIEW B, 1996, 54 (15) :10300-10303

[8] DIFFUSION IN REGULAR AND DISORDERED LATTICES [J].

HAUS, JW ;

KEHR, KW .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1987, 150 (5-6) :263-406

[9] Quasi-one-dimensional system of molecules inside carbon nanotubes: Exact solution for the lattice gas model and its application to fullerene-filled nanotubes [J].

Hodak, M ;

Girifalco, LA .

PHYSICAL REVIEW B, 2001, 64 (03)

[10] Growth of nanostructures by cluster deposition: Experiments and simple models [J].

Jensen, P .

REVIEWS OF MODERN PHYSICS, 1999, 71 (05) :1695-1735