Growth Models And The Question Of Universality Classes

Details Growth Models And The Question Of Universality Classes Growth Models And The Question Of Universality Classes

1998-06-22

arxiv.org/abs/physics/9806033v1

Physics

Computational Physics

Scientific paper

10.1103/PhysRevE.59.2699

In the past many papers have appeared which simulated surface growth with different growth models. The results showed that, if models differed only slightly in their `growth' rules, the resulting surfaces may belong to different universality classes, i.e. they are described by different differential equations. In the present paper we describe a mapping of ``growth rules'' to differential operators and give plausibility arguments for this mapping. We illustrate the validity of our theory by applying it to published results.

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