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

doi:10.1088/1674-1056/19/7/070516

中国物理B ›› 2010, Vol. 19 ›› Issue (7): 70516-070516.doi: 10.1088/1674-1056/19/7/070516

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

寻之朋, 唐刚, 韩奎, 郝大鹏, 夏辉, 周伟, 杨细全, 温荣吉, 陈玉岭

Department of Physics, China University of Mining & Technology, Xuzhou 221116, China

出版日期:2010-07-15 发布日期:2010-07-15
基金资助:
Projects supported by the National Natural Science Foundation of China (Grant No. 10674177) and the Youth Foundation of China University of Mining & Technology (Grant No. 2008A035).

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

Xun Zhi-Peng(寻之朋), Tang Gang(唐刚)^†, Han Kui(韩奎), Hao Da-Peng(郝大鹏), Xia Hui(夏辉), Zhou Wei(周伟), Yang Xi-Quan(杨细全), Wen Rong-Ji(温荣吉), and Chen Yu-Ling(陈玉岭)

Department of Physics, China University of Mining & Technology, Xuzhou 221116, China

Online:2010-07-15 Published:2010-07-15
Supported by:
Projects supported by the National Natural Science Foundation of China (Grant No. 10674177) and the Youth Foundation of China University of Mining & Technology (Grant No. 2008A035).

摘要/Abstract

摘要： 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.

Abstract: 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.

Key words: finite-size effect, anomalous dynamic scaling, Das Sarma--Tamborenea model, noise reduction technique

中图分类号: (Interface structure and roughness)

68.35.Ct

68.35.B- (Structure of clean surfaces (and surface reconstruction)) 68.35.Fx (Diffusion; interface formation) 02.50.Ng (Distribution theory and Monte Carlo studies)

寻之朋, 唐刚, 韩奎, 郝大鹏, 夏辉, 周伟, 杨细全, 温荣吉, 陈玉岭. Numerical study of anomalous dynamic scaling behaviour of (1+1)-dimensional Das Sarma—Tamborenea model[J]. 中国物理B, 2010, 19(7): 70516-070516.

Xun Zhi-Peng(寻之朋), Tang Gang(唐刚), Han Kui(韩奎), Hao Da-Peng(郝大鹏), Xia Hui(夏辉), Zhou Wei(周伟), Yang Xi-Quan(杨细全), Wen Rong-Ji(温荣吉), and Chen Yu-Ling(陈玉岭). Numerical study of anomalous dynamic scaling behaviour of (1+1)-dimensional Das Sarma—Tamborenea model[J]. Chin. Phys. B, 2010, 19(7): 70516-070516.

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

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

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