The renormalization group and optimization of entropy

被引:3
作者
Robledo, A [1 ]
机构
[1] Univ Nacl Autonoma Mexico, Inst Fis, Mexico City 01000, DF, Mexico
关键词
renormalization group; entropy; Gaussian model; random walks; bond percolation;
D O I
10.1023/A:1018620618862
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We illustrate the possible connection that exists between the extremal properties of entropy expressions and the renormalization group (RG) approach when applied to systems with scaling symmetry. We consider three examples: (1) Gaussian fixed-point criticality in a fluid or in the capillary-wave model or an interface; (2) Levy-like random walks with self-similar cluster formation; and (3) long-ranged bond percolation. In all cases we find a decreasing entropy function that becomes minimum under an appropriate constraint at the fixed point. We use an equivalence between random-walk distributions and order-parameter pair correlations in a simple fluid or magnet to study how the dimensional anomaly at criticality relates to walks with long-tailed distributions.
引用
收藏
页码:475 / 487
页数:13
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