摘要翻译：
我们考虑了弛豫到最小的离散表面生长过程[F.家族，J.PHYS.A{\bf 19}L441，(1986)。]作为无标度网络上的一种可能的同步机制，其特征是度分布$p(k)\sim k^{-\lambda}$,其中$k$是节点的度和$\lambda$他的宽度，并将其与通常应用的Edward-Wilkinson过程进行比较[S.F.Edwards和D.R.Wilkinson,Proc.R.Soc.London Ser.a{\BF 381},17（1982）]。对于欧几里德格，尽管这两个过程属于同一类，但在本工作中我们证明了对于指数为$\lambda<3$的无标度网络，这是不正确的。此外，我们还证明了对于这些普遍存在的情形，Edward-Wilkinson过程随着系统规模的增加而自发地增强同步，这是一个非物理结果。相反，离散表面生长过程不存在这个缺陷，并且适用于每一个$\lambda$。
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英文标题：
《Discrete surface growth process as a synchronization mechanism for scale
  free complex networks》
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作者：
A. L. Pastore y Piontti, P. A. Macri and L. A. Braunstein
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最新提交年份：
2007
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
  We consider the discrete surface growth process with relaxation to the minimum [F. Family, J. Phys. A {\bf 19} L441, (1986).] as a possible synchronization mechanism on scale-free networks, characterized by a degree distribution $P(k) \sim k^{-\lambda}$, where $k$ is the degree of a node and $\lambda$ his broadness, and compare it with the usually applied Edward-Wilkinson process [S. F. Edwards and D. R. Wilkinson, Proc. R. Soc. London Ser. A {\bf 381},17 (1982) ]. In spite of both processes belong to the same universality class for Euclidean lattices, in this work we demonstrate that for scale-free networks with exponents $\lambda<3$ this is not true. Moreover, we show that for these ubiquitous cases the Edward-Wilkinson process enhances spontaneously the synchronization when the system size is increased, which is a non-physical result. Contrarily, the discrete surface growth process do not present this flaw and is applicable for every $\lambda$.
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PDF链接：
https://arxiv.org/pdf/707.2947