Nanosize pattern formation in overdamped stochastic reaction-diffusion systems with interacting adsorbate

被引:24
作者
Kharchenko, Vasyl O. [1 ,2 ]
Kharchenko, Dmitrii O. [1 ]
机构
[1] Natl Acad Sci Ukraine, Inst Appl Phys, UA-40000 Sumy, Ukraine
[2] Univ Augsburg, Inst Phys, D-86135 Augsburg, Germany
来源
PHYSICAL REVIEW E | 2012年 / 86卷 / 04期
关键词
SELF-ORGANIZATION; HYPERBOLIC MODEL; GROWTH; NANOSTRUCTURES; SURFACES; EPITAXY;
D O I
10.1103/PhysRevE.86.041143
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We study overdamped stochastic model describing adsorption or desorption processes with nonequilibrium chemical reactions on the surface. It is shown that internal noise satisfying the fluctuation-dissipation relation at small intensities governs transitions between ordered thermodynamical dense and diluted phases. These phase transitions are characterized by an increase of fluctuations of the coverage filed and correlation radius of spatial modulation. At large noise intensity a transition towards disordered phase with chaotic spatial configuration is realized. We have shown that organized stationary patterns are of nanometer range. We define that both period of stationary structures and corresponding correlation radius depend on the noise intensity.
引用
收藏
页数:12
相关论文
共 45 条
[1]  
[Anonymous], 1991, Materials science and technology Phase transformations of materials
[2]  
BATOGKH D, 1997, PHYS REP, V288, P435
[3]  
BESENBACHER F, 1997, CHEM PHYS SOLID SURF, V8, P207
[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]  
Brune H, 1998, SURF SCI REP, V31, P121, DOI 10.1016/S0167-5729(99)80001-6
[6]   TRANSITION FROM ONE-DIMENSIONAL TO 2-DIMENSIONAL GROWTH OF CU ON PD(110) PROMOTED BY CROSS-EXCHANGE MIGRATION [J].
BUCHER, JP ;
HAHN, E ;
FERNANDEZ, P ;
MASSOBRIO, C ;
KERN, K .
EUROPHYSICS LETTERS, 1994, 27 (06) :473-478
[7]   Phase transitions and adsorption isotherm in multilayer adsorbates with lateral interactions [J].
Casal, SB ;
Wio, HS ;
Mangioni, S .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2002, 311 (3-4) :443-457
[8]   Ordering of nanostructures in a Si/Ge0.3Si0.7/Ge system during molecular beam epitaxy [J].
Cirlin, GE ;
Egorov, VA ;
Sokolov, LV ;
Werner, P .
SEMICONDUCTORS, 2002, 36 (11) :1294-1298
[9]   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
[10]   Pattern formation and localized structures in reaction-diffusion systems with non-Fickian transport [J].
Clerc, M. G. ;
Tirapegui, E. ;
Trejo, M. .
PHYSICAL REVIEW LETTERS, 2006, 97 (17)