Pattern formation and localized structures in monoatomic layer deposition

被引：8

作者：

Clerc, M. G.

Tirapegui, E.

Trejo, M.

机构：

[1] Univ Chile, Fac Ciencias Fis & Matemat, Dept Fis, Santiago, Chile

[2] Ecole Normale Super, Lab Phys Stat, F-75231 Paris 05, France

来源：

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS | 2007年 / 146卷 / 1期

关键词：

D O I：

10.1140/epjst/e2007-00196-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the nonlinear robust behaviors of a model for the deposition of a monolayer of molecules on a surface which takes into account the interactions of the adsorbed molecules. The transport properties of the model lead to non Fickian diffusion. It is shown that we have generically Turing structures coexisting with uniform concentrations and consequently localized structures through the pinning mechanism. The characteristic lengths are in the nanometer region in agreement with recent experiments.

引用

收藏

页码：407 / 425

页数：19

相关论文

共 30 条

[1] Coarsening dynamics of the one-dimensional Cahn-Hilliard model [J].

Argentina, M ;

Clerc, MG ;

Rojas, R ;

Tirapegui, E .

PHYSICAL REVIEW E, 2005, 71 (04)

[2] NONADIABATIC EFFECTS IN CONVECTION [J].

BENSIMON, D ;

SHRAIMAN, BI ;

CROQUETTE, V .

PHYSICAL REVIEW A, 1988, 38 (10) :5461-5464

[3] Localized states in bistable pattern-forming systems [J].

Bortolozzo, U. ;

Clerc, M. G. ;

Falcon, C. ;

Residori, S. ;

Rojas, R. .

PHYSICAL REVIEW LETTERS, 2006, 96 (21)

[4] Self-organized growth of nanostructure arrays on strain-relief patterns [J].

Brune, H ;

Giovannini, M ;

Bromann, K ;

Kern, K .

NATURE, 1998, 394 (6692) :451-453

[5] FREE ENERGY OF A NONUNIFORM SYSTEM .3. NUCLEATION IN A 2-COMPONENT INCOMPRESSIBLE FLUID [J].

CAHN, JW ;

HILLIARD, JE .

JOURNAL OF CHEMICAL PHYSICS, 1959, 31 (03) :688-699

[6]

CALE TS, 1996, THIN FILMS, V22, P175, DOI DOI 10.1016/S1079-4050(96)80006-8

[7] Bubbles interactions in the Cahn-Hilliard equation [J].

Calisto, H ;

Clerc, M ;

Rojas, R ;

Tirapegui, E .

PHYSICAL REVIEW LETTERS, 2000, 85 (18) :3805-3808

[8] Interface dynamics in liquid crystals [J].

Chevallard, C ;

Clerc, M ;

Coullet, P ;

Gilli, JM .

EUROPEAN PHYSICAL JOURNAL E, 2000, 1 (2-3) :179-188

[9] Zig-zag instability of an Ising wall in liquid crystals [J].

Chevallard, C ;

Clerc, M ;

Coullet, P ;

Gilli, JM .

EUROPHYSICS LETTERS, 2002, 58 (05) :686-692

[10] Interface effects on the growth of cobalt nanostructures on molybdenum-based substrates [J].

Clark, PG ;

Friend, CM .

JOURNAL OF CHEMICAL PHYSICS, 1999, 111 (15) :6991-6996