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From plasticity to a renormalization group
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Ball, Robin and Blumenfeld, R. (2003) From plasticity to a renormalization group. Philosophical Transactions of the Royal Society of London. Series A. Mathematical and Physical and Engineering Sciences, Vol.361 (No.1805). pp. 731-738. doi:10.1098/rsta.2002.1161 ISSN 1364-503X.
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Official URL: http://dx.doi.org/10.1098/rsta.2002.1161
Abstract
The marginally rigid State is a candidate paradigm for what makes granular material a state of matter distinct from both liquid and solid. The coordination number is identified as a discriminating characteristic, and for rough-surfaced particles we show that the low values predicted are indeed approached ill simple two-dimensional experiments. We show calculations of the stress transmission, suggesting that this is governed by local linear equations of constraint between the stress components. These constraints can in turn be related to the generalized forces conjugate to the motion of grains rolling over each other. The lack of a spatially coherent way of imposing a sign convention on these motions is a problem for scaling up the equations, which leads us to attempt a renormalization-group calculation. Finally, we discuss how perturbations propagate through such systems, suggesting a distinction between the behaviour of rough and smooth grains.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QC Physics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||
Library of Congress Subject Headings (LCSH): | Granular materials, Plasticity, Renormalization group | ||||
Journal or Publication Title: | Philosophical Transactions of the Royal Society of London. Series A. Mathematical and Physical and Engineering Sciences | ||||
Publisher: | Royal Society of London | ||||
ISSN: | 1364-503X | ||||
Official Date: | 15 April 2003 | ||||
Dates: |
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Volume: | Vol.361 | ||||
Number: | No.1805 | ||||
Number of Pages: | 8 | ||||
Page Range: | pp. 731-738 | ||||
DOI: | 10.1098/rsta.2002.1161 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Open Access (Creative Commons) | ||||
Funder: | Engineering and Physical Sciences Research Council (EPSRC) | ||||
Grant number: | GR/L5975 (EPSRC) | ||||
Title of Event: | Meeting on Slow Dynamics in Soft Matter | ||||
Location of Event: | Royal Society, London, England | ||||
Date(s) of Event: | September 25-26, 2002 |
Data sourced from Thomson Reuters' Web of Knowledge
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