分形上各向同性的恢复
凝聚态物理
2011-02-28 v1
摘要
我们报道了具有微观各向异性的分形中一种新型的宏观各向同性恢复(均匀化)现象。该现象在各种物理设置中观察到,包括扩散、随机游走、电阻网络和高斯场论。其机制是独特的,因为它不存在于具有平移不变性的空间中,同时又是普遍的,因为它在广泛的分形类别中都能观察到。
引用
@article{arxiv.cond-mat/9509043,
title = {Restoration of isotropy on fractals},
author = {Martin T. Barlow and Kumiko Hattori and Tetsuya Hattori and Hiroshi Watanabe},
journal= {arXiv preprint arXiv:cond-mat/9509043},
year = {2011}
}
备注
11 pages, REVTEX, 3 postscript figures. (Compressed and encoded figures archived by "figure" command). To appear in Physical Review Letters