Random elastic networks : strong disorder renormalization approach

Details Random elastic networks : strong disorder renormalization approach Random elastic networks : strong disorder renormalization approach

2010-10-08

arxiv.org/abs/1010.1627v2

J. Phys. A: Math. Theor. 44 (2011) 085001

Physics

Condensed Matter

Disordered Systems and Neural Networks

8 pages, v2=final version

Scientific paper

10.1088/1751-8113/44/8/085001

For arbitrary networks of random masses connected by random springs, we define a general strong disorder real-space renormalization (RG) approach that generalizes the procedures introduced previously by Hastings [Phys. Rev. Lett. 90, 148702 (2003)] and by Amir, Oreg and Imry [Phys. Rev. Lett. 105, 070601 (2010)] respectively. The principle is to eliminate iteratively the elementary oscillating mode of highest frequency associated with either a mass or a spring constant. To explain the accuracy of the strong disorder RG rules, we compare with the Aoki RG rules that are exact at fixed frequency.

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