Propagation and Backscattering of Mechanical Impulses in a Gravitationally Loaded Chain: Dynamical Studies and Toy Model Based Phenomenology

dc.creatorAvalos, Edgar
dc.creatorMohan, T. R. Krishna
dc.creatorSen, Surajit
dc.date2005-10-20
dc.date.accessioned2026-07-07T06:44:37Z
dc.date.available2026-07-07T06:44:37Z
dc.descriptionWe recently introduced a simple toy model to describe energy propagation and backscattering in complex layered media (T.R. Krishna Mohan and S. Sen, Phys. Rev. E 67, 060301(R) (2003)). The model provides good qualitative description of energy propagation and backscattering in real soils. Here we present a dynamical study of energy propag ation and backscattering in a gravitationally loaded granular chain and compare our results with those obtained using the toy model. The propagation is ballistic for low g values and acquires characteristics of acoustic propagation as g is increased. We focus on the dynamics of the surface grain and examine the backscattered energy at the surface. As we shall see, excellent agreement between the two models is achieved when we consider the simultaneous presence of acoustic and nonlinear behavior in the toy model. Our study serves as a first step towards using the toy model to describe impulse propagation in gravitationally loaded soils.
dc.descriptionSubmitted to Phys. Rev. E; 4 pages and 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0510551
dc.identifierhttp://arxiv.org/abs/cond-mat/0510551
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102833
dc.subjectDisordered Systems and Neural Networks
dc.subjectOther Condensed Matter
dc.titlePropagation and Backscattering of Mechanical Impulses in a Gravitationally Loaded Chain: Dynamical Studies and Toy Model Based Phenomenology
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