Achlioptas过程并不总是自我平均
Achlioptas processes are not always self-averaging
摘要：
我们考虑一类渗流模型，称为Achlioptas过程，在[Science 323，1453（2009）]和[Science 333，322（2011）]中讨论。对于这些，序参量（最大连通分量的重新标度大小）的演化一直是近年来研究的主要焦点。我们表明，在鲜明的对比“经典”模型，自平均是不是一个普遍的功能，这些新的渗流模型：有自然Achlioptas过程的序参量有随机波动，不消失的热力学极限。
英文摘要：
We consider a class of percolation models, called Achlioptas processes, discussed in [Science 323, 1453 (2009)] and [Science 333, 322 (2011)]. For these the evolution of the order parameter (the rescaled size of the largest connected component) has been the main focus of research in recent years. We show that, in striking contrast to `classical' models, self-averaging is not a universal feature of these new percolation models: there are natural Achlioptas processes whose order parameter has random fluctuations that do not disappear in the thermodynamic limit.
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