Renormalization group, entropy optimization, and nonextensivity at criticality
Renormalization group, entropy optimization, and nonextensivity at criticality
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DOI：
10.1103/physrevlett.83.2289
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发表时间：
1999-09-20
影响因子：
8.6
通讯作者：
Robledo, A
中科院分区：
文献类型：
--
作者：
Robledo, A
通过随机游走分布和序参量相关之间的等价性，再现了临界状态下对相关的标度性质。具有自相似簇的从高斯到分形行走的转变对应于从高斯到具有非零维异常的非平凡固定涂料的转变。我们表明，重整化群轨迹导致最小熵的不动点，并使用Tsallis熵指数q来衡量nonextensivity的行为偏离高斯。
The scaling properties of pair correlations at criticality are reproduced through an equivalence between random walk distributions and order parameter correlations. The shift from Gaussian to fractal walks with self-similar clusters corresponds to the changeover from a Gaussian to a nontrivial fixed paint with nonvanishing dimensional anomaly. We show that the renormalization group trajectories lead to fixed points of minimum entropy, and use the Tsallis entropy index q to measure nonextensivity as behavior departs from Gaussian.