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Shocks near Jamming | Leopoldo R. Gomez
; Ari M. Turner
; Martin van Hecke
; Vincenzo Vitelli
; | Date: |
29 Aug 2011 | Abstract: | Non-linear sound is an extreme phenomenon typically observed in solids after
violent explosions. Even in air, a jet must break the sound barrier before
generating shock waves. But granular media are different. Right at the density
where they jam, these fragile and disordered solids exhibit a vanishing
rigidity and sound speed, so that even tiny mechanical perturbations form
supersonic shocks or solitary waves. Here, we perform simulations in which
two-dimensional jammed granular packings are dynamically compressed, and
demonstrate that the elementary excitations are strongly non-linear shocks,
rather than ordinary phonons. We capture the full dependence of the shock speed
on pressure and impact intensity by a surprisingly simple analytical model. | Source: | arXiv, 1108.5688 | Services: | Forum | Review | PDF | Favorites |
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