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A transfer-matrix approach to random resistor networks

โœ Scribed by Derrida, B; Vannimenus, J

Book ID
111952780
Publisher
Institute of Physics
Year
1982
Tongue
English
Weight
395 KB
Volume
15
Category
Article
ISSN
0305-4470

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โœฆ Synopsis

We introduce a transfer-matrix formulation to compute the conductance of random resistor networks. We apply this method to strips of width up to 40, and use finite size scaling arguments to obtain an estimate for the conductivity critical exponent in two dimensions, t = 1.28*0.03.

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Random matrix approach to shareholding n
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โœ Wataru Souma; Yoshi Fujiwara; Hideaki Aoyama ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 598 KB

A shareholding network is represented by a symmetrical adjacency matrix. The random matrix theoretical approach to this matrix shows that the spectrum follows a power law distribution, rรฐlรž $ jlj ร€d , in the tail part. It is also shown that the degree distribution of this network follows a power law