标题： 增长模型和普遍性类的问题 显示英文标题

标题： Growth Models And The Question Of Universality Classes

摘要： 在过去，许多论文发表，这些论文使用不同的生长模型模拟表面生长。 结果表明，如果模型在“生长”规则上仅有一点点不同，那么产生的表面可能属于不同的普适性类，即它们由不同的微分方程描述。 在本文中，我们描述了“生长规则”到微分算子的映射，并给出了这种映射的合理性论证。 我们通过将该理论应用于已发表的结果来说明其有效性。 显示英文摘要

摘要： 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.