%0 Journal Article %1 Majmudar2007Jamming %A Majmudar, T. S. %A Sperl, M. %A Luding, S. %A Behringer, R. P. %D 2007 %I American Physical Society %J Physical Review Letters %K granular\_matter, jamming %N 5 %P 058001+ %R 10.1103/physrevlett.98.058001 %T Jamming Transition in Granular Systems %U http://dx.doi.org/10.1103/physrevlett.98.058001 %V 98 %X 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 ϕc. Above ϕc, Z and the pressure P are predicted to increase as power laws in ϕ-ϕc. In experiments using photoelastic disks we corroborate a rapid increase in Z at ϕc and power-law behavior above ϕc for Z and P. Specifically we find a power-law increase as a function of ϕ-ϕc for Z-Zc with an exponent β around 0.5, and for P with an exponent ψ 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{Majmudar2007Jamming, 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 ϕc. Above ϕc, Z and the pressure P are predicted to increase as power laws in ϕ-ϕc. In experiments using photoelastic disks we corroborate a rapid increase in Z at ϕc and power-law behavior above ϕc for Z and P. Specifically we find a power-law increase as a function of ϕ-ϕc for Z-Zc with an exponent β around 0.5, and for P with an exponent ψ 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.}}, added-at = {2019-06-10T14:53:09.000+0200}, author = {Majmudar, T. S. and Sperl, M. and Luding, S. and Behringer, R. P.}, biburl = {https://www.bibsonomy.org/bibtex/2b88d31c9c2957ac7db812a77279f693f/nonancourt}, citeulike-article-id = {2184078}, citeulike-linkout-0 = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal\&id=PRLTAO000098000005058001000001\&idtype=cvips\&gifs=yes}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRL/v98/e058001}, citeulike-linkout-2 = {http://dx.doi.org/10.1103/physrevlett.98.058001}, citeulike-linkout-3 = {http://link.aps.org/abstract/PRL/v98/i5/e058001}, citeulike-linkout-4 = {http://link.aps.org/pdf/PRL/v98/i5/e058001}, doi = {10.1103/physrevlett.98.058001}, interhash = {f19f0a1d87ca0414b179a4137d539072}, intrahash = {b88d31c9c2957ac7db812a77279f693f}, journal = {Physical Review Letters}, keywords = {granular\_matter, jamming}, month = jan, number = 5, pages = {058001+}, posted-at = {2013-03-11 17:58:57}, priority = {2}, publisher = {American Physical Society}, timestamp = {2019-06-10T14:53:09.000+0200}, title = {{Jamming Transition in Granular Systems}}, url = {http://dx.doi.org/10.1103/physrevlett.98.058001}, volume = 98, year = 2007 }