Structural signature of jamming in granular media

Glasses are rigid, but flow when the temperature is increased. Similarly, granular materials are rigid, but become unjammed and flow if sufficient shear stress is applied. The rigid and flowing phases are strikingly different, yet measurements reveal that the structures of glass and liquid are virtually indistinguishable. It is therefore natural to ask whether there is a structural signature of the jammed granular state that distinguishes it from its flowing counterpart. Here we find evidence for such a signature, by measuring the contact-force distribution between particles during shearing. Because the forces are sensitive to minute variations in particle position, the distribution of forces can serve as a microscope with which to observe correlations in the positions of nearest neighbours. We find a qualitative change in the force distribution at the onset of jamming. If, as has been proposed, the jamming and glass transitions are related, our observation of a structural signature associated with jamming hints at the existence of a similar structural difference at the glass transition—presumably too subtle for conventional scattering techniques to uncover. Our measurements also provide a determination of a granular temperature that is the counterpart in granular systems to the glass-transition temperature in liquids.

[1]  S. Timoshenko,et al.  Theory of elasticity , 1975 .

[2]  W. H. Reid,et al.  The Theory of Elasticity , 1960 .

[3]  D Richter,et al.  The Microscopic Basis of the Glass Transition in Polymers from Neutron Scattering Studies , 1995, Science.

[4]  C. H. Liu,et al.  Force Fluctuations in Bead Packs , 1995, Science.

[5]  S. Nagel,et al.  Structural studies of an organic liquid through the glass transition. , 1996 .

[6]  Andrea J. Liu,et al.  Nonlinear dynamics: Jamming is not just cool any more , 1998, Nature.

[7]  Heinrich M. Jaeger,et al.  FORCE DISTRIBUTION IN A GRANULAR MEDIUM , 1998 .

[8]  Farhang Radjai,et al.  Contact forces in a granular packing. , 1999, Chaos.

[9]  E. Flekkøy,et al.  Force measurements on static granular materials. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[10]  Christian Veje,et al.  Stress Fluctuations in a 2D Granular Couette Experiment: A Continuous Transition , 1999 .

[11]  Schwartz,et al.  Packing of compressible granular materials , 2000, Physical review letters.

[12]  H. Jaeger,et al.  Force distributions in three-dimensional granular assemblies: effects of packing order and interparticle friction. , 2000, Physical review. E, Statistical, nonlinear, and soft matter physics.

[13]  L. Cipelletti,et al.  Jamming phase diagram for attractive particles , 2001, Nature.

[14]  J. Liu.Andrea,et al.  Jamming and rheology : constrained dynamics on microscopic and macroscopic scales , 2001 .

[15]  Liu,et al.  Force Distributions near Jamming and Glass Transitions. , 2001, Physical review letters.

[16]  Gary S Grest,et al.  Analogies between granular jamming and the liquid-glass transition. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  Andrea J. Liu,et al.  Effective temperatures of a driven system near jamming. , 2001, Physical review letters.

[18]  Large force fluctuations in a flowing granular medium. , 2002, Physical review letters.

[19]  Gary S Grest,et al.  Statistics of the contact network in frictional and frictionless granular packings. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[20]  Forces in Granular Hopper Flow , 2003 .

[21]  Hernán A. Makse,et al.  Measuring the distribution of interdroplet forces in a compressed emulsion system , 2003 .

[22]  Andrea J. Liu,et al.  Jamming at zero temperature and zero applied stress: the epitome of disorder. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[23]  Sam F. Edwards,et al.  Statistical mechanics of granular materials: stress propagation and distribution of contact forces , 2003 .

[24]  Dynamical Heterogeneity and Jamming in Glass-Forming Liquids † , 2004, cond-mat/0406451.

[25]  Antonio Coniglio,et al.  Unifying concepts in granular media and glasses , 2004 .

[26]  Troy Shinbrot,et al.  A Taylor vortex analogy in granular flows , 2004, Nature.

[27]  Impulse distributions in dense granular flows: Signatures of large-scale spatial structures , 2003, cond-mat/0301201.

[28]  T. Vlugt,et al.  Force network ensemble: a new approach to static granular matter. , 2003, Physical review letters.