Large-scale numerical study on the dynamic scaling behavior of Das Sarma-Tamborenea model by employing noise reduction technique

Department of Physics, China University of Mining and Technology - Xuzhou 221116, China

Received: 27 July 2015
Accepted: 18 September 2015

Abstract

By employing the noise reduction technique, extensive kinetic Monte Carlo simulations are presented for the Das Sarma-Tamborenea model in (1 + 1) and (2 + 1) dimensions on large length and long time scale. Surface width and height-height correlation function are calculated to estimate the global and local dynamic scaling behaviors in this model. Asymptotic dynamic scaling behaviors have been found. Normal scaling has been shown in (1 + 1) dimensions, and the values of global scaling exponents are below the one-loop renormalization calculation for the Lai-Das Sarma-Villain theory, which confirms the existence of higher-order corrections proposed by Janssen. Further, we have found that the DT model in (2 + 1) dimensions belongs to the Edwards-Wilkinson dynamic universality, in contrast to the (1 + 1)-dimensional universality class of this model. Our findings can explain the widespread discrepancies of previous reports for exponents of the Das Sarma-Tamborenea model both in (1 + 1) and (2 + 1) dimensions.