From Plasticity to a Renormalisation Group

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dc.creatorBall, R. C.
dc.creatorBlumenfeld, R.
dc.date2003-01-29
dc.date.accessioned2026-07-07T02:49:25Z
dc.date.available2026-07-07T02:49:25Z
dc.descriptionThe Marginally Rigid State is a candidate paradigm for what makes granular material a state of matter distinct from both liquid and solid. Coordination number is identified as a discriminating characteristic, and for rough-surfaced particles we show that the low values predicted are indeed approached in 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 generalised 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 up-scaling the equations, which leads us to attempt a renormalisation group calculation. Finally we discuss how perturbations propagate through such systems, suggesting a distinction between the behaviour of rough and of smooth grains.
dc.descriptionBased on talk presented at Royal Society meeting on Soft Condensed Matter, September 2002; ms accepted by Proc Roy Soc. 9 pages pdf from MS word
dc.identifierhttps://arxiv.org/abs/cond-mat/0301562
dc.identifierhttp://arxiv.org/abs/cond-mat/0301562
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/20785
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleFrom Plasticity to a Renormalisation Group
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