Workshops > 2011 Interdisciplinary Summer School: Granular Flows

2011 Interdisciplinary Summer School: Granular Flows


Recent Advances in Jamming: Anharmonicity, Geometrical Families, Basins of Attraction, and Packing Probabilities

Corey O’Hern, Yale University

Outline:  
  1. What is Jamming? Granular Materials, Colloids, and Other Particulate Media
  2. Frictionless Jammed Packings
  3. Isostaticity
  4. Fluctuations in the Harmonic Approximation
  5. Anharmoncity and Density of States
  6. Frictional Jammed Packings
  7. Geometrical Families as a Function of Strain
  8. Statistical Mechanics of Jammed Packings: Microstates and Edwards’ Ensemble
  9. Protocol Dependence of Packing Probabilities
  10. Packings of Nonspherical Particles
Recommended Reading:  
  1. C. S. O'Hern, L. E. Silbert, A. J. Liu, and S. R. Nagel, “Jamming at zero temperature and zero applied stress: The epitome of disorder,” Phys. Rev. E 68 (2003) 011306.
  2. M. Mailman, C. F. Schreck, B. Chakraborty, and C. S. O'Hern, “Jamming in Systems Composed of Frictionless Ellipse-Shaped Particles,” Phys. Rev. Lett. 102 (2009) 255501.
  3. L. E. Silbert, A. J. Liu, and S. R. Nagel, “Vibrations and diverging length scales near the unjamming transition,” Phys. Rev. Lett. 95 (2005) 098301.
  4. K. Chen, W. G. Ellenbroek, Z. X. Zhang, D. T. N. Chen, P. J. Yunker, S. Henkes, C. Brito, O. Dauchot, W. van Saarloos, A J. Liu, and A. G. Yodh, “Low-frequency vibrations of soft colloidal glasses,” Phys. Rev. Lett. 105 (2010) 025501.
  5. C. F. Schreck, N. Xu, and C. S. O’Hern, “A comparison of jamming behavior in systems composed of dimer- and ellipse-shaped particles,” Soft Matter 6 (2010) 2960.
  6. A.O.N. Siemens and M. van Hecke, “Jamming: A Simple Introduction,” Physica A 389 (2010) 4255.