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Chin. Phys. B, 2016, Vol. 25(1): 013601    DOI: 10.1088/1674-1056/25/1/013601

Mobility of large clusters on a semiconductor surface: Kinetic Monte Carlo simulation results

M Esen1, A T Tüzemen2, M Ozdemir3
1. Vocational School of Adana, Cukurova University, Adana 01160, Turkey;
2. Department of Science and Mathematics Education, Faculty of Education, Cumhuriyet University, Sivas 58140, Turkey;
3. Department of Physics, Cukurova University, Adana 01330, Turkey
Abstract  The mobility of clusters on a semiconductor surface for various values of cluster size is studied as a function of temperature by kinetic Monte Carlo method. The cluster resides on the surface of a square grid. Kinetic processes such as the diffusion of single particles on the surface, their attachment and detachment to/from clusters, diffusion of particles along cluster edges are considered. The clusters considered in this study consist of 150-6000 atoms per cluster on average. A statistical probability of motion to each direction is assigned to each particle where a particle with four nearest neighbors is assumed to be immobile. The mobility of a cluster is found from the root mean square displacement of the center of mass of the cluster as a function of time. It is found that the diffusion coefficient of clusters goes as D= A(T)Nα where N is the average number of particles in the cluster, A(T) is a temperature-dependent constant and α is a parameter with a value of about -0.64< α <-0.75. The value of α is found to be independent of cluster sizes and temperature values (170-220 K) considered in this study. As the diffusion along the perimeter of the cluster becomes prohibitive, the exponent approaches a value of -0.5. The diffusion coefficient is found to change by one order of magnitude as a function of cluster size.
Keywords:  diffusion constant      cluster mobility      Monte Carlo method  
Received:  15 June 2015      Revised:  04 August 2015      Accepted manuscript online: 
PACS:  36.40.Sx (Diffusion and dynamics of clusters)  
  68.43.Jk (Diffusion of adsorbates, kinetics of coarsening and aggregation)  
  68.43.Mn (Adsorption kinetics ?)  
  05.10.Ln (Monte Carlo methods)  
Corresponding Authors:  M Esen     E-mail:

Cite this article: 

M Esen, A T Tüzemen, M Ozdemir Mobility of large clusters on a semiconductor surface: Kinetic Monte Carlo simulation results 2016 Chin. Phys. B 25 013601

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