Numerical study of anomalous dynamic scaling behaviour of (1+1)-dimensional Das Sarma–Tamborenea model

In order to discuss the finite-size effect and the anomalous dynamic scaling behaviour of Das Sarma--Tamborenea growth model, the (1+1)-dimensional Das Sarma--Tamborenea model is simulated on a large length scale by using the kinetic Monte--Carlo method. In the simulation, noise reduction technique...

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Bibliographic Details
Published in:Chinese physics B 2010-07, Vol.19 (7), p.070516-070516
Main Authors: Zhi-Peng, Xun, Gang, Tang, Kui, Han, Da-Peng, Hao, Hui, Xia, Wei, Zhou, Xi-Quan, Yang, Rong-Ji, Wen, Yu-Ling, Chen
Format: Article
Language:English
Subjects:
Computer simulation
Crossovers
Dynamic tests
Dynamics
Exponents
Mathematical models
Noise reduction
Roughness
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Summary:In order to discuss the finite-size effect and the anomalous dynamic scaling behaviour of Das Sarma--Tamborenea growth model, the (1+1)-dimensional Das Sarma--Tamborenea model is simulated on a large length scale by using the kinetic Monte--Carlo method. In the simulation, noise reduction technique is used in order to eliminate the crossover effect. Our results show that due to the existence of the finite-size effect, the effective global roughness exponent of the (1+1)-dimensional Das Sarma--Tamborenea model systematically decreases with system size L increasing when L > 256. This finding proves the conjecture by Aarao Reis[Aarao Reis F D A 2004 Phys. Rev. E 70 031607]. In addition, our simulation results also show that the Das Sarma--Tamborenea model in 1+1 dimensions indeed exhibits intrinsic anomalous scaling behaviour.
ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/19/7/070516