Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
| dc.creator | O'Hern, C. S. | |
| dc.creator | Silbert, L. E. | |
| dc.creator | Liu, A. J. | |
| dc.creator | Nagel, S. R. | |
| dc.date | 2003-04-17 | |
| dc.date.accessioned | 2026-07-07T02:50:51Z | |
| dc.date.available | 2026-07-07T02:50:51Z | |
| dc.description | We have studied how 2- and 3- dimensional systems made up of particles interacting with finite range, repulsive potentials jam (i.e., develop a yield stress in a disordered state) at zero temperature and applied stress. For each configuration, there is a unique jamming threshold, $ϕ_c$, at which particles can no longer avoid each other and the bulk and shear moduli simultaneously become non-zero. The distribution of $ϕ_c$ values becomes narrower as the system size increases, so that essentially all configurations jam at the same $ϕ$ in the thermodynamic limit. This packing fraction corresponds to the previously measured value for random close-packing. In fact, our results provide a well-defined meaning for "random close-packing" in terms of the fraction of all phase space with inherent structures that jam. The jamming threshold, Point J, occurring at zero temperature and applied stress and at the random close-packing density, has properties reminiscent of an ordinary critical point. As Point J is approached from higher packing fractions, power-law scaling is found for many quantities. Moreover, near Point J, certain quantities no longer self-average, suggesting the existence of a length scale that diverges at J. However, Point J also differs from an ordinary critical point: the scaling exponents do not depend on dimension but do depend on the interparticle potential. Finally, as Point J is approached from high packing fractions, the density of vibrational states develops a large excess of low-frequency modes. All of these results suggest that Point J may control behavior in its vicinity-perhaps even at the glass transition. | |
| dc.description | 21 pages, 20 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0304421 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0304421 | |
| dc.identifier | Phys. Rev. E 68, 011306 (2003) | |
| dc.identifier | doi:10.1103/PhysRevE.68.011306 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/21250 | |
| dc.subject | Soft Condensed Matter | |
| dc.title | Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder | |
| dc.type | text |