U of C Papers on Granular Matter

(more or less up to date as of March 2005)

Slow Dense Shear Flow

• Mueggenburg, Nathan “The Behavior of Granular Materials Under Cyclic Shear”, Phys. Rev. E, in press (2005).
• Daniel M. Mueth, "Measurements of Particle Dynamics in Slow, Dense Granular Couette Flow", Phys. Rev. E 67, 011304 (2003). pdf file
• Daniel Mueth, Georges Debregeas, Greg Karczmar, Peter Eng, Sidney R. Nagel, and Heinrich M. Jaeger, “X-Ray Microtomography of Dense Granular Shear Flows”, APS Forefront 1, ANL/APS/TB-42, 122-124 (2001).
• D. M. Mueth, G. F. Debregeas, G. S. Karczmar, P. J. Eng, S. R. Nagel, and H. M. Jaeger, "Signatures of granular microstructure in dense shear flows," Nature 406, 385 - 389 (2000). pdf file, ps file
• A Self-Similar Model for Shear Flows in Dense Granular Materials, G. Debregeas and C. Josserand, Europhys Lett 52 (2) 138-143, October (2000).

Convection and Size Separation ("Brazil Nut Effect")

• Matthias E. Möbius, Xiang Cheng, Peter Eshuis, Gregory Karczmar, Sidney R. Nagel, and Heinrich M. Jaeger, “The Effect of Air on Granular Size Separation in a Vibrated Granular Bed”, preprint (2005) / cond-mat/0502622.
• Matthias E. Möbius, Xiang Cheng, Gregory Karczmar, Sidney R. Nagel, and Heinrich Jaeger, “Intruders in the Dust: Air-Driven Granular Size Separation”, Phys. Rev. Lett., 93, 198001 (2004).
• Matthias Möbius, Sidney R. Nagel, and Heinrich M. Jaeger, “Size and Density Separation in Granular Materials”, Proc. Mat. Res. Soc. 759, 115 (2003).
• Milica Medved, "Connections between response modes in a horizontally driven granular material", Phys. Rev. E 65, 021305 (2002). pdf file
• Matthias E. Möbius, Benjamin E. Lauderdale, Sidney R. Nagel, and Heinrich M. Jaeger, "Size Separation of Granular Particles," Nature 414, 270 (2001). pdf
• Milica Medved, Heinrich M. Jaeger, and Sidney R. Nagel, "Convection in a fully immersed granular slurry", Phys. Rev. E 63, 061302 (2001). pdf file
• Milica Medved, Heinrich M. Jaeger, and Sidney R. Nagel, "Modes of Response in Horizontally Vibrated Granular Material", Europhys. Lett. 52, 66 (2000).
• Milica Medved, Damien Dawson, Heinrich M. Jaeger, and Sidney R. Nagel, "Convection in Horizontally Vibrated Granular Material", Chaos 9, 691 (1999).
• E.E. Ehrichs, Janna K. Flint, Heinrich M. jaeger, James B. Knight, Sidney R. Nagel, Greg S. Karczmar and Vadim Yu. Kuperman, "Convection in Vertically Vibrated Granular Materials", Phil. Trans. R. Soc. London 356, 2561 (1998).
• J. B. Knight, "External Boundaries and Internal Shear Bands in Granular Convection", Phys. Rev. E 55, 6016 (1997).
• J. B. Knight, H. M. Jaeger, and S. R. Nagel, "Magnetic Resonance Imaging of Granular Convection", in Advances in Fluidization and Fluid-Particle Systems, vol. 93, AIChE Symposium Series 317, eds. D. King, H. Arastoopour, J. C. Chen, A. W. Weimer, and W.-C. Yang (American Institute of Chemical Engineers, New York, 1997) pp. 109-112.
• E. L. Grossman, "The Effects of Container Geometry on Granular Convection",Phys. Rev. E 56, 3290(1997). (abstract).
• J. B. Knight, E. E. Ehrichs, V. Y. Kuperman, J. K. Flint, H. M. Jaeger, and S. R. Nagel, "Experimental Study of Granular Convection," Phys.Rev. E 54, 5726 (1996). This paper has an extensive set of data on granular convection in vertically vibrated cylinders with vertical walls. Both data taken with tracer beads and MRI are included, as are (heuristical) approaches to model the data.
• E. E. Ehrichs, H. M. Jaeger, G. S. Karczmar, J. B. Knight, V. Y. Kuperman, and S. R. Nagel, "Granular Convection Observed by Magnetic Resonance Imaging," Science 267, 1632 (1995).
• V. Y. Kuperman, E. E. Ehrichs, H. M. Jaeger, and G. S. Karczmar, "A New Technique for Differentiating Between Diffusion and Flow in Granular Media using Magnetic Resonance Imaging," Review of Scientific Instruments 66, 4355 (1995).
• J. B. Knight, H. M. Jaeger, and S. Nagel, "Vibration-Induced Size Separation in Granular Media: The Convection Connection", Physical Review Letters 70, 3728 (1993).

Force Chains and Jamming

• Melissa Spannuth, Nathan Mueggenburg, Heinrich M. Jaeger, and Sidney R. Nagel, “Stress Transmission Through Three-Dimensional Granular Crystals with Stacking Faults”, Granular Matter, 6(4), 215 (2004).
• Corey S. O’Hern, Leonardo E. Silbert, Andrea J. Liu, and Sidney R. Nagel, "Jamming at zero temperature and zero applied stress: The epitome of disorder," Phys. Rev. E 68, 011306 (2003).
• Ian K. Ono, Corey S. O’Hern, D. J. Durian, Stephen A. Langer, Andrea J. Liu, and Sidney R. Nagel, "Effective Temperatures of a Driven System Near Jamming," Phys. Rev. Lett. 89 (9), 095703 (2002).
• Corey S. O'Hern, Stephen A. Langer, Andrea J. Liu, and Sidney R. Nagel, "Random Packings of Frictionless Particles," Phys. Rev. Lett. 88 (7), 075507 (2002).
• Leonardo E. Silbert, Deniz Ertas, Gary S. Grest, Thomas C. Halsey, and Dov Levine, "Analogies between granular jamming and the liquid-glass transition," Phys. Rev. E 65, 051307 (2002).
• Nathan W. Mueggenburg, Heinrich M. Jaeger, Sidney R. Nagel, “Stress transmission through three-dimensional ordered granular arrays”, Phys. Rev. E 66, 031304 (2002).
• J. Michael Erikson, Nathan W. Mueggenburg, Heinrich M. Jaeger, Sidney R. Nagel, “Force Distributions in Three-Dimensional Compressible Granular Packs”, Phys. Rev. E 66, 040301 (2002).
• Corey S. O'Hern, Stephen A. Langer, Andrea J. Liu, and Sidney R. Nagel, "Force distributions near the jamming and glass transitions.," Phys. Rev. Lett. 86, 111-114 (2001).
• Robust Propagation Direction of Stresses in a Minimal Granular Packing, D. A. Head, A. V. Tkachenko and T. A. Witten, European Physical Journal E 6, 99-105 (2001).
• Force Distributions Near the Jamming and Glass Transitions, C. S. O'Hern, S. A. Langer, A. J. Liu, and S. R. Nagel Phys. Rev. Lett. 86, 111 (2001).
• Daniel L. Blair, Nathan W. Mueggenburg, Adam H. Marshall, Heinrich M. Jaeger, and Sidney R. Nagel, "Force distributions in 3D granular assemblies: Effects of packing order and inter-particle friction", Phys. Rev. E 63, 041304 (2001). pdf file
• A scalar model of inhomogeneous elastic and granular media, M.L. Nguyen, S.N. Coppersmith, Phys. Rev. E 62, 5248-5262 (2000).
• Stress in Frictionless Granular Material: Adaptive Network Simulations, Alexei V. Tkachenko, Thomas A. Witten, Phys. Rev. E 62, 2510-2516 (2000).
• M. L. Nguyen and S. N. Coppersmith, "Properties of layer-by-layer vector stochastic models of force fluctuations in granular materials," Physical Review E 59 (5): 5870-5880 (1999). (abstract and paper)
• Stress propagation through frictionless granular material, A. V. Tkachenko and T. A. Witten, Physical Review E 60, 687-96 (1999). (abstract and paper)
• Incipient Failure in Sandpile Models, O. Narayan and S.R. Nagel, Physica A 264, 75-83 (1999). (abstract and paper)
• On the Glassy Behavior of the Parking Lot Model, A.J. Kolan, E.R. Nowak, and A.V. Tkachenko, Phys. Rev. E 59 (3), 3094-3099 (1999).
• D. M. Mueth, H. M. Jaeger, and S. R. Nagel, "Force Distribution in a Granular Medium", Physical Review E 57, 3164(1998). ( ps, pdf, ps.gz pdf.gz) (abstract and paper)
• S. N. Coppersmith, C.-h. Liu, S. Majumdar, O. Narayan, and T. A. Witten, "Model of Force Fluctuations in Bead Packs", Physical Review E 53, 4673 (1996).
• C.-h. Liu, S. R. Nagel, D. Shecter, and S. Coppersmith, "Force Fluctuations in Bead Packs," Science 269, 513(1995).
  

Compaction

• Fernando Villarruel, Ben Lauderdale, Daniel M. Mueth, and Heinrich M. Jaeger, "Compaction of rods: Relaxation and Ordering in Vibrated, Anisotropic Granular Material", Phys. Rev. E 61, 6914 (2000). pdf file
• C. Josserand, A. Tkachenko, D. M. Mueth, and H. M. Jaeger, "Memory effects in shaken granular material," Phys. Rev. Lett. 85, 3632-3635 (2000). pdf file
• B. Knight, E. R. Nowak, E. Ben-Naim, H. M. Jaeger, and S. R. Nagel, "Fluctuations in the Density of a Granular Material During Vibration," Phys. Rev. E 57, 1971 (1998). pdf file
• E. Ben-Naim, J. B. Knight, E. R. Nowak, H. M. Jaeger, and S. R. Nagel, "Slow relaxation in granular compaction," Physica D 123,380 (1998).
• E. R. Nowak, J. B. Knight, E. Ben-Naim, M. Povinelli, H. M. Jaeger, and S. R. Nagel, "Studies of Granular Compaction", in Powders and Grains '97 (Third International Conference on Powders and Grains, Durham, NC), R. P. Behringer and J. T. Jenkins, Eds. Rotterdam: Balkema, 1997, pp. 377-380.
• E. R. Nowak, J. B. Knight, M. Povinelli, H. M. Jaeger, and S. R. Nagel, "Reversibility and irreversibility in the packing of vibrated granular material", Powder Technology 94, 79 (1997). (abstract).
• E. Ben-Naim, J. B. Knight, E. R. Nowak, "Slow Relaxation in Granular Compaction", J. Chem. Phys. 100, 6778 (1996).
• J. B. Knight, C. G. Fandrich, C. N. Lau, H. M. Jaeger, and S. R. Nagel, "Density Relaxation in a Vibrated Granular Material", Physical Review E 51, 3957 (1995).

Inelastic Particle Collisions and Clustering

• S. A. Hill and G. F. Mazenko, Granular Clustering in a Hydrodynamic Simulation, Phys. Rev. E 67, 061302 (2003).
• A Non-linear Hydrodynamical Approach to Granular Materials, S. A. Hill and G. F. Mazenko, Phys.Rev. E 63, 031, 303 (2001).
• The Dynamics of One Dimensional Inelastic Particles System, J. Yang, Phys. Rev. E, 61 (3) 2920-2923 (2000).
• T. Zhou, "Effects of Attractors on the Dynamics of Granular Systems", Phys. Rev. Lett. 80: 17, 3755-3758 (1998). (abstract).
• E.L. Grossman, T. Zhou, and E. Ben-Naim, "Towards Granular Hydrodynamics in Two Dimensions", Phys. Rev. E 55, 4200 (1997). (abstract and paper).
• E.L. Grossman and M. Mungan, "Motion of Three Inelastic Particles on a Ring", Phys. Rev. E 53, 6435 (1996).
• T. Zhou and L.P. Kadanoff, "Inelastic Collapse of Three Particles", Phys. Rev. E 54, 623 (1996).
• N. Schorghofer and T. Zhou, "Inelastic Collapse of Rotating Spheres", Phys. Rev. E 54, 5511 (1996).
• E.L. Grossman and B. Roman, "Density Variations in a One-dimensional Granular System", Phys. Fluids 8, 3218 (1996).
• Y. Du, H. Li, and L.P. Kadanoff, "Breakdown of Hydrodynamics in a One-Dimensional System of Inelastic Particles", Physical Review Letters 74, 1268 (1995).
• P. Constantin, E.L. Grossman, and M. Mungan, "Inelastic Collisions of Three Particles on a Line as a Two-Dimensional Billiard," Physica D 83, 409 (1995).

Sound

• C.-h. Liu, "Spatial Patterns of Sound Propagation in Sand", Physical Review B 50, 782 (1994).
• C.-h. Liu and S. R. Nagel, "Sound in a Granular Material: Disorder and Nonlinearity", Physical Review B 48, 15646 (1993).

Waves and Patterns

• Spatio-Temporal Bifurcation Phenomena with Temporal Period doubling: Patterns in Vibrated Sand, S. C. Venkataramani and E. Ott, Phys. Rev. Lett. 80, 3495 (1998).
• T. Metcalf, J. B. Knight, and H. M. Jaeger, "Surface Patterns in Shallow Beds of Vibrated Granular Material", Physica A 236, 202 (1997).

Avalanches

• E. R. Nowak, O. W. Taylor, L. Liu, and H. M. Jaeger, "Magnetic Flux Instabilities in Superconducting Niobium Rings: Tuning the Avalanche Behavior", Phys. Rev. B 55, 11702 (1997).
• R. J. Zieve, T. F. Rosenbaum, H. M. Jaeger, G. T. Seidler, G. W. Crabtree, and U. Welp, "Vortex Avalanches at One-Thousandth the Superconducting Transition Temperature", Physical Review B 53, 11849 (1996).
• C.-h. Liu and H. M. Jaeger, "Comment on Water Droplet Avalanches," Physical Review Letters, 1995. C.-h. Liu, H. M. Jaeger, and S. R. Nagel, "Finite Size Effects in a Sandpile", Physical Review A 43, 7091 (1991).
• H. M. Jaeger, C.-h. Liu, S. R. Nagel, and T. A. Witten, "Flow in Granular Materials: Self-Organized Non-Critical Behavior," in Relaxation and Related Topics in Complex Systems, I. A. Campbell and C. Giovannella, Eds. London: Plenum Press, 235 (1990).
• H. M. Jaeger, C.-h. Liu, S. R. Nagel, and T. A. Witten, "Friction in Granular Flows", Europhysics Letters 11, 619 (1990).
• L. P. Kadanoff, S. R. Nagel, L. Wu, and S.-m. Zhou, "Scaling and Universality in Avalanches," Physical Review A 39, 6527 (1989).
• H. M. Jaeger, C.-h. Liu, and S. Nagel, "Relaxation at the Angle of Repose, Physical Review Letters 62, 40 (1988).

Introduction & Review Articles

• Jamming and Rheology: Constrained Dynamics on Microscopic and Macroscopic Scales, Edited by A. J. Liu and S. R. Nagel. (Taylor and Francis, London, 2001). ISBN # 0-7484-0879-7.
• Heinrich M. Jaeger, Troy Shinbrot, and Paul Umbanhowar, "Does the granular matter?", Frontiers of Science Symposium 1999, Proc. Nat'l Acad. Sci. 97, 12959 (2000). pdf file
• Granular Materials: Static Properties as Seen Through Experiments, S. R. Nagel, in Soft and Fragile Matter: Nonequilibrium Dynamics, Metastability and Flow, Ed. M. E. Cates and M. R. Evans pps.349-368 (Institute of Physics Publishing, Bristol and Philadelphia, 2000).
• Shifting Sands, Sidney R. Nagel, New Scientist, 167 #2249, 55 (July 29, 2000).
• Jamming in Liquids and granular Materials, C. S. O'Hern, S. A. Langer, A. J. Liu, and S. R. Nagel, Mat. Res. Soc. Symp. 627, BB1.1 (2000).
• Robert P. Behringer, Heinrich M. Jaeger, and Sidney R. Nagel, "Introduction to the focus issue on granular materials", Chaos 9, 509-510 (1999).
• Physics at the Breakfast Table - or Waking Up to Physics, [Klopsteg Memorial Lecture (August, 1998)] S.R. Nagel , American Journal of Physics 67, 17-25 (1999).
• Sidney R. Nagel and Heinrich M. Jaeger, "Sound propagation in sand", ECHOES 8 (3), 1 (1998).
• L. P. Kadanoff, "Built Upon Sand: Theoretical Ideas Inspired by the Flow of Granular Materials", submitted to Reviews of Modern Physics, 1998.
• Jamming is Not Just Cool Anymore, A.J. Liu and S.R. Nagel, Nature 396, 21-22 (1998)
• H. M. Jaeger and S. R. Nagel, "Dynamics of Granular Material", American Scientist 85, 540 (1997).
• H. M. Jaeger, "Chicago Experiments on Convection, Compaction, and Compression", in Proceedings of the NATO/ASI Workshop on Dry Granular Materials, Cargese 1997, preprint. Download this paper in ps, pdf, ps.gz or pdf.gz
• H. M. Jaeger, S. R. Nagel, and R. P. Behringer, "The Physics of Granular Materials", Physics Today 4, 32 (1996). The extended version of this article (with many more references) appeared in Rev. Mod. Phys. 68, 1259 (1996); see below. A Japanese Translation of this article appeared in: Parity, 12 no. 1, 4-13 (1997).
• Heinrich M. Jaeger, Sidney R. Nagel, and Robert P. Behringer, "Granular Solids, Liquids, and Gases", Rev. Mod. Phys. 68, 1259-1273 (1996). pdf file This is the extended version of the article in Physics Today, April 1996.
• H. M. Jaeger, J. B. Knight, C.-h. Liu, and S. R. Nagel, "What is shaking in the sand box?," Mat. Res. Soc. Bull. 19, 25 (1994). H. M. Jaeger and S. R. Nagel, "La Fisica del Estado Granular", Mundo Cientifico 132, 108 (1993).
• H. M. Jaeger and S. R. Nagel, "La Physique de l'Etat Granulaire", La Recherche 249, 1380 (1992).
• H. M. Jaeger and S. R. Nagel, "Physics of the Granular State", Science 255, 1523 (1992).
• S. R. Nagel, "Instabilities in a Sandpile", Rev. Mod. Phys. 64, 321 (1992).

last updated: March 6, 2005