RANDOM MULTIPLICATIVE RESPONSE FUNCTIONS IN GRANULAR CONTACT NETWORKS

Cristian F. Moukarzel
Additional contact information
Cristian F. Moukarzel: CINVESTAV del IPN, Unidad Mérida, AP 73 Cordemex, 97310 Mérida, Yucatán, Mexico

Advances in Complex Systems (ACS), 2001, vol. 04, issue 04, 523-533

Abstract: 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, displacement–displacement and stress–stress 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 acritical point.

Keywords: Granular matter; isostaticity; response functions; stress distributions; multiplicative processes (search for similar items in EconPapers)
Date: 2001
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0219525901000334
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:acsxxx:v:04:y:2001:i:04:n:s0219525901000334

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0219525901000334

Access Statistics for this article

Advances in Complex Systems (ACS) is currently edited by Frank Schweitzer

More articles in Advances in Complex Systems (ACS) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().