Jamming Transition in Granular Systems

by: TS Majmudar, M Sperl, S Luding, RP Behringer

Physical Review Letters, Vol. 98, No. 5. (2007)

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Abstract

Recent simulations have predicted that near jamming for collections of spherical particles, there will be a discontinuous increase in the mean contact number Z at a critical volume fraction c. Above c, Z and the pressure P are predicted to increase as power laws in -c. In experiments using photoelastic disks we corroborate a rapid increase in Z at c and power-law behavior above c for Z and P. Specifically we find a power-law increase as a function of -c for Z-Zc with an exponent around 0.5, and for P with an exponent around 1.1. These exponents are in good agreement with simulations. We also find reasonable agreement with a recent mean-field theory for frictionless particles.

@article{citeulike:2184078, abstract = {Recent simulations have predicted that near jamming for collections of spherical particles, there will be a discontinuous increase in the mean contact number Z at a critical volume fraction c. Above c, Z and the pressure P are predicted to increase as power laws in -c. In experiments using photoelastic disks we corroborate a rapid increase in Z at c and power-law behavior above c for Z and P. Specifically we find a power-law increase as a function of -c for Z-Zc with an exponent around 0.5, and for P with an exponent around 1.1. These exponents are in good agreement with simulations. We also find reasonable agreement with a recent mean-field theory for frictionless particles.}, author = {Majmudar, T. S. and Sperl, M. and Luding, S. and Behringer, R. P. }, citeulike-article-id = {2184078}, doi = {10.1103/PhysRevLett.98.058001}, journal = {Physical Review Letters}, keywords = {2007, behringer, grain, jamming, review}, number = {5}, posted-at = {2008-03-19 16:51:40}, priority = {2}, publisher = {APS}, title = {Jamming Transition in Granular Systems}, url = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal\&id=PRLTAO000098000005058001000001\&idtype=cvips\&gifs=yes}, volume = {98}, year = {2007} }

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TY - JOUR ID - citeulike:2184078 L3 - citeulike-article-id:2184078 TI - Jamming Transition in Granular Systems JF - Physical Review Letters VL - 98 IS - 5 PB - APS N2 - Recent simulations have predicted that near jamming for collections of spherical particles, there will be a discontinuous increase in the mean contact number Z at a critical volume fraction c. Above c, Z and the pressure P are predicted to increase as power laws in -c. In experiments using photoelastic disks we corroborate a rapid increase in Z at c and power-law behavior above c for Z and P. Specifically we find a power-law increase as a function of -c for Z-Zc with an exponent around 0.5, and for P with an exponent around 1.1. These exponents are in good agreement with simulations. We also find reasonable agreement with a recent mean-field theory for frictionless particles. KW - 2007 KW - behringer KW - grain KW - jamming KW - review AU - Majmudar, TS AU - Sperl, M AU - Luding, S AU - Behringer, RP PY - 2007/// UR - http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PRLTAO000098000005058001000001&idtype=cvips&gifs=yes ER -

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