ON CRITICAL EXPONENTS AND THE RENORMALIZATION OF THE COUPLING CONSTANT IN GROWTH MODELS WITH SURFACE DIFFUSION
ON CRITICAL EXPONENTS AND THE RENORMALIZATION OF THE COUPLING CONSTANT IN GROWTH MODELS WITH SURFACE DIFFUSION
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表面扩散生长模型中的临界指数和耦合常数的重整化
DOI：
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发表时间：
1996
期刊：
影响因子：
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通讯作者：
H. Janssen
中科院分区：
文献类型：
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作者：
H. Janssen
重整化场论的方法表明，与基于数学上不明确的不变变换的陈述以及最近大多数关于表面扩散生长模型的出版物中发现的陈述相反，这些模型的耦合常数非平凡地重整化。这意味着广泛接受的所谓精确缩放指数将被纠正。双循环计算表明修正很小，并且这些指数似乎是非常好的近似值。
It is shown by the method of renormalized field theory that in contrast to a statement based on a mathematically ill-defined invariance transformation and found in most of the recent publications on growth models with surface diffusion, the coupling constant of these models renormalizes nontrivially. This implies that the widely accepted supposedly exact scaling exponents are to be corrected. A two-loop calculation shows that the corrections are small and these exponents seem to be very good approximations.