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25 April 2024
 
  » arxiv » 1108.5688

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Shocks near Jamming
Leopoldo R. Gomez ; Ari M. Turner ; Martin van Hecke ; Vincenzo Vitelli ;
Date 29 Aug 2011
AbstractNon-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
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