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Asymptotic dynamic scaling behavior of the (1+1)-dimensional Wolf-Villain model
Zhipeng Xun1, Gang Tang, Kui Han
1Department of Physics, China University of Mining and Technology, Xuzhou 221116, People's Republic of China. zpxun@cumt.edu.cn
Abstract:
Extensive kinetic Monte Carlo simulations are presented for the Wolf-Villain model in (1+1) dimensions. Asymptotic dynamic scaling is found for lattice sizes L≥2048. The exponents obtained from our simulations, α=0.50±0.02 and β=0.25±0.02, are in excellent agreement with the exact values α=1/2 and β=1/4 for the one-dimensional Edwards-Wilkinson equation. Our findings explain the widespread discrepancies of previous reports for exponents of the Wolf-Villain model in (1+1) dimensions, and the results are also consistent with the theoretical predictions of López et al. [J. M. López, M. Castro, and R. Gallego, Phys. Rev. Lett. 94, 166103 (2005)].
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