English, Article edition: RANDOM MULTIPLICATIVE RESPONSE FUNCTIONS IN GRANULAR CONTACT NETWORKS CRISTIAN F. MOUKARZEL

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Physical Description
  • article
Language
  • English

Edition details

Title
  • RANDOM MULTIPLICATIVE RESPONSE FUNCTIONS IN GRANULAR CONTACT NETWORKS
Author
  • CRISTIAN F. MOUKARZEL
Physical Description
  • article
Notes
  • The contact network of a frictionless polydisperse granular packing is isostatic in the limit of low applied pressure. It is argued here that, on disordered isostatic networks, displacementâdisplacement and stressâstress static Green functions are described by random multiplicative processes and have a truncated power-law distribution, with a cut-off that grows exponentially with distance. If the external pressure is increased sufficiently, excess contacts are created, the packing becomes hyperstatic, and the abovementioned anomalous properties disappear because Green functions now have a bounded distribution. Thus, the low-pressure, isostatic, limit is a critical point.
  • Granular matter, isostaticity, response functions, stress distributions, multiplicative processes
  • RePEc:wsi:acsxxx:v:04:y:2001:i:04:p:523-533
Language
  • English
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