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Selective renormalization in real space: A simple approach to intermediate-wavelength properties of granular structures

✍ Scribed by N. Shahtahmasebi; C. J. Lambert


Publisher
Springer US
Year
1988
Tongue
English
Weight
389 KB
Volume
71
Category
Article
ISSN
0022-2291

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✦ Synopsis


A new real-space renormalization technique is introduced, aimed at simplifying the computation of dynamical properties of granular structures at wavelengths of order a typical grain size. The technique consists in replacing the large number of atoms within a grain by a small number of rigid masses and choosing the couplings between the masses to reproduce the low-lying properties of the isolated grains. The transformation is shown to yield results that converge rapidly to the exact solution for the dynamical properties at intermediate wavelengths.