Collective diffusion of dense adsorbate at surfaces of arbitrary geometry

被引：3

作者：

Minkowski, Marcin ^{[1
]}

Zaluska-Kotur, Magdalena A. ^{[1
]}

机构：

[1] Polish Acad Sci, Inst Phys, Al Lotnikow 32-46, PL-02668 Warsaw, Poland

来源：

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2018年

关键词：

diffusion; stochastic particle dynamics; surface diffusion; LATTICE-GAS; THERMODYNAMICS; GRAPHENE; ADATOMS; LAYERS; FILMS;

D O I：

10.1088/1742-5468/aac142

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A convenient variational formula for collective diffusion of many particles adsorbed at lattices of arbitrary geometry is formulated. The approach allows us to find the expressions for the diffusion coeffcient for any value of the system's coverage. It is assumed that particles interact via on-site repulsion excluding double site occupancy. It is shown that the method can be applied to various systems of different geometry. Examples of real systems such as GaAs with specific energetic landscapes are also presented. Diffusion of Ga adatoms on GaAs(0 0 1) surface reconstructed in two different symmetries is studied. It is shown how increasing Ga coverage changes the character of diffusion from isotropic 2D into highly anisotropic, almost 1D. It is shown how important the role of the inter-particle correlations is, which influences the value of the collective diffusion coeffcient at higher coverages.

引用

页数：33

共 42 条

[11] Chemical diffusion in an interacting lattice gas: Analytic theory and simple applications [J].

Gortel, ZW ;

Zaluska-Kotur, MA .

PHYSICAL REVIEW B, 2004, 70 (12) :125431-1

[12] Low-coverage surface diffusion in complex periodic energy landscapes. II. Analytical solution for systems with asymmetric hops [J].

Gosalvez, Miguel A. ;

Otrokov, Mikhail M. ;

Ferrando, Nestor ;

Ryabishchenkova, Anastasia G. ;

Ayuela, Andres ;

Echenique, Pedro M. ;

Chulkov, Evgueni V. .

PHYSICAL REVIEW B, 2016, 93 (20)

[13] Low-coverage surface diffusion in complex periodic energy landscapes: Analytical solution for systems with symmetric hops and application to intercalation in topological insulators [J].

Gosalvez, Miguel A. ;

Otrokov, Mikhail M. ;

Ferrando, Nestor ;

Ryabishchenkova, Anastasia G. ;

Ayuela, Andres ;

Echenique, Pedro M. ;

Chulkov, Evgueni V. .

PHYSICAL REVIEW B, 2016, 93 (07)

[14] Toward the Controlled Synthesis of Hexagonal Boron Nitride Films [J].

Ismach, Ariel ;

Chou, Harry ;

Ferrer, Domingo A. ;

Wu, Yaping ;

McDonnell, Stephen ;

Floresca, Herman C. ;

Covacevich, Alan ;

Pope, Cody ;

Piner, Richard ;

Kim, Moon J. ;

Wallace, Robert M. ;

Colombo, Luigi ;

Ruoff, Rodney S. .

ACS NANO, 2012, 6 (07) :6378-6385

[15] Novel diffusion mechanism on the GaAs(001) surface: The role of adatom-dimer interaction [J].

Kley, A ;

Ruggerone, P ;

Scheffler, M .

PHYSICAL REVIEW LETTERS, 1997, 79 (26) :5278-5281

[16] Coupling of orthogonal diffusion modes in two-dimensional nonhomogeneous systems [J].

Krzyzewski, Filip ;

Zaluska-Kotur, Magdalena A. .

PHYSICAL REVIEW B, 2008, 78 (23)

[17] CHEMICAL DIFFUSION IN THE LATTICE GAS OF NON-INTERACTING PARTICLES [J].

KUTNER, R .

PHYSICS LETTERS A, 1981, 81 (04) :239-240

[18] Synthesis of Large-Area MoS2 Atomic Layers with Chemical Vapor Deposition [J].

Lee, Yi-Hsien ;

Zhang, Xin-Quan ;

Zhang, Wenjing ;

Chang, Mu-Tung ;

Lin, Cheng-Te ;

Chang, Kai-Di ;

Yu, Ya-Chu ;

Wang, Jacob Tse-Wei ;

Chang, Chia-Seng ;

Li, Lain-Jong ;

Lin, Tsung-Wu .

ADVANCED MATERIALS, 2012, 24 (17) :2320-2325

[19] Ab initio calculation of binding and diffusion of a Ga adatom on the GaAs(001)-c(4x4) surface [J].

LePage, JG ;

Alouani, M ;

Dorsey, DL ;

Wilkins, JW ;

Blochl, PE .

PHYSICAL REVIEW B, 1998, 58 (03) :1499-1505

[20] Controlled Synthesis of Topological Insulator Nanoplate Arrays on Mica [J].

Li, Hui ;

Cao, Jie ;

Zheng, Wenshan ;

Chen, Yulin ;

Wu, Di ;

Dang, Wenhui ;

Wang, Kai ;

Peng, Hailin ;

Liu, Zhongfan .

JOURNAL OF THE AMERICAN CHEMICAL SOCIETY, 2012, 134 (14) :6132-6135

← 1 2 3 4 5 →