Static response in disk packings

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dc.creatorMoukarzel, Cristian F.
dc.creatorPacheco-Martinez, Hector
dc.creatorRuiz-Suarez, J. C.
dc.creatorVidales, Ana M.
dc.date2003-08-12
dc.date.accessioned2026-07-07T02:52:54Z
dc.date.available2026-07-07T02:52:54Z
dc.descriptionWe present experimental and numerical results for displacement response functions in packings of rigid frictional disks under gravity. The central disk on the bottom layer is shifted upwards by a small amount, and the motions of disks above it define the displacement response. Disk motions are measured with the help of a still digital camera. The responses so measured provide information on the force-force response, that is, the excess force at the bottom produced by a small overload in the bulk. We find that, in experiments, the vertical-force response shows a Gaussian-like shape, broadening roughly as the square root of distance, as predicted by diffusive theories for stress propagation in granulates. However, the diffusion coefficient obtained from a fit of the response width is ten times larger than predicted by such theories. Moreover we notice that our data is compatible with a crossover to linear broadening at large scales. In numerical simulations on similar systems (but without friction), on the other hand, a double-peaked response is found, indicating wave-like propagation of stresses. We discuss the main reasons for the different behaviors of experimental and model systems, and compare our findings with previous works.
dc.description7 pages, revtex4+psfig, 4figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0308240
dc.identifierhttp://arxiv.org/abs/cond-mat/0308240
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/22015
dc.subjectSoft Condensed Matter
dc.subjectDisordered Systems and Neural Networks
dc.titleStatic response in disk packings
dc.typetext

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