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Lack of Self-affinity and Anomalous Roughening in Growth Processes

1992/03/28 by López, Juan M., Rodríguez, Miguel A.
#Condensed Matter (cond-mat) #FOS: Physical sciences

paper · doi:10.48550/arxiv.cond-mat/9603180

Abstract

We contrast analytical results of a variety of growth models involving subdiffusion, thermal noise and quenched disorder with simulations of these models, concluding that the assumed self-affinity property is more an exception than a rule. In our two dimensional models, self-affine surfaces may only appear when the roughness exponent is χ= 1/2 or χ= 1. A new scaling picture, which leads to more suitable ways of determining the scaling exponents, is proposed when lack of self-affinity exists.

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