Kinetic super-roughening and anomalous dynamic scaling in nonequilibrium growth models.

作者: S. Das Sarma , S. V. Ghaisas , J. M. Kim

DOI: 10.1103/PHYSREVE.49.122

关键词: PhysicsDynamic scalingNon-equilibrium thermodynamicsFunction (mathematics)Diffusion (business)Statistical physicsKinetic growthKinetic energyScaling

摘要: We argue that recently introduced models of surface-diffusion-driven nonequilibrium growth are characterized by critical roughness exponents (\ensuremath{\alpha}) exceeding unity (``super-rough'' growth) exhibit an ``anomalous'' form dynamic scaling whose asymptotic behavior is different from the usual self-affine kinetic with \ensuremath{\alpha}1. propose a generalized function for super-rough (\ensuremath{\alpha}g1) and demonstrate its applicablity to several discrete models.

参考文章(9)
S. Das Sarma, P. Tamborenea, A new universality class for kinetic growth: One-dimensional molecular-beam epitaxy. Physical Review Letters. ,vol. 66, pp. 325- 328 ,(1991) , 10.1103/PHYSREVLETT.66.325
D. E Wolf, J Villain, Growth with Surface Diffusion EPL. ,vol. 13, pp. 389- 394 ,(1990) , 10.1209/0295-5075/13/5/002
Leonardo Golubović, Robijn Bruinsma, Surface diffusion and fluctuations of growing interfaces. Physical Review Letters. ,vol. 66, pp. 321- 324 ,(1991) , 10.1103/PHYSREVLETT.66.321
S. Das Sarma, S. V. Ghaisas, Solid-on-solid rules and models for nonequilibrium growth in 2+1 dimensions. Physical Review Letters. ,vol. 69, pp. 3762- 3765 ,(1992) , 10.1103/PHYSREVLETT.69.3762
S. Das Sarma, S. V. Ghaisas, Das Sarma and Ghaisas reply. Physical Review Letters. ,vol. 71, pp. 2510- 2510 ,(1993) , 10.1103/PHYSREVLETT.71.2510
Jin Min Kim, S. Das Sarma, Growth in a restricted-curvature model. Physical Review E. ,vol. 48, pp. 2599- 2602 ,(1993) , 10.1103/PHYSREVE.48.2599
Z.-W. Lai, S. Das Sarma, Kinetic growth with surface relaxation: Continuum versus atomistic models Physical Review Letters. ,vol. 66, pp. 2348- 2351 ,(1991) , 10.1103/PHYSREVLETT.66.2348
P. I. Tamborenea, S. Das Sarma, Surface-diffusion-driven kinetic growth on one-dimensional substrates. Physical Review E. ,vol. 48, pp. 2575- 2594 ,(1993) , 10.1103/PHYSREVE.48.2575
Jacques G. Amar, Pui-Man Lam, Fereydoon Family, Groove instabilities in surface growth with diffusion. Physical Review E. ,vol. 47, pp. 3242- 3245 ,(1993) , 10.1103/PHYSREVE.47.3242