Lack of Self-affinity and Anomalous Roughening in Growth Processes

Juan M. López; Miguel A. Rodríguez

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Lack of Self-affinity and Anomalous Roughening in Growth Processes

Juan M. López·Miguel A. Rodríguez

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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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Juan M. López, Miguel A. Rodríguez. 1992-03-28. Lack of Self-affinity and Anomalous Roughening in Growth Processes. https://arxiv.org/abs/cond-mat/9603180

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