Alam, M. & Hrenya, C. M. 2001 Inelastic collapse in simple shear flow of a granular medium. Phys. Rev. E 63, 061308.
Alder, B. & Wainwright, 1970 Decay of the velocity autocorrelation function. Phys. Rev. A 1, 18.
Allen, M. P. & Tildesley, D. J. 1992 Computer Simulation of Liquids. Clarendon.
Bernu, B. & Mazighi, R. 1990 One-dimensional bounce of inelastically colliding marbles on a wall. J. Phys. A 23 5745–5754.
Bocquet, L., Errami, J. & Lubensky, T. C. 2002 Hydrodynamic model for a dynamical jammed-to-flowing transition in gravity driven granular media. Phys. Rev. Lett. 89, 184301–184304.
Brady, J. F. & Morris, J. B. 1997 Microstructure of strongly sheared suspensions and its impact on rheology and diffusion. J. Fluid Mech. 348, 103–139.
Campbell, C. S. 1997 Self-diffusion in granular shear flows. J. Fluid Mech. 348, 85–101.
Campbell, C. S. 2002 Granular shear flows at the elastic limit. J. Fluid Mech. 465, 261–291.
Campbell, C. S. 2005 Stress-controlled elastic granular shear flows. J. Fluid Mech. 539, 273–297.
Chapman, S. & Cowling, T. G. 1970 The Mathematical Theory of Non-uniform Gases. Cambridge University Press.
Delannay, R., Louge, M., Richard, P., Taberlet, N. & Valance, A. 2007 Towards a theoretical picture of dense granular flows down inclines. Nature Mater. 6, 99–108.
Dorfman, J. R. & Cohen, E. G. 1972 Velocity-correlation functions in two and three dimensions: low density. Phys. Rev. A 6, 776.
Dufty, J. 1984 Diffusion in shear flow. Phys. Rev. A 30, 1465–1476.
Ernst, M. H., Cichocki, B., Dorfman, J. R., Sharma, J. & van Beijeren, H. 1978, Kinetic theory of nonlinear viscous flow in two and three dimensions. J. Stat. Phys. 18, 237–270.
Ertas, D. & Halsey, T. C. 2002 Granular gravitational collapse and chute flow. Europhys. Lett. 60, 931–937.
Foss, D. R. & Brady, J. F. 1999 Self-diffusion in sheared suspensions by dynamic simulation. J. Fluid Mech. 401, 243–274.
Foss, D. R. & Brady, J. F. 2000 Structure, diffusion and rheology of Brownian suspensions by Stokesian dynamics simulation. J. Fluid Mech. 407, 167–200.
Garzo, V. & Dufty, J. 1999 Dense fluid transport for inelastic hard spheres. Phys. Rev. E 59, 5895.
Goldhirsch, I. & Zanetti, G. 1993 Clustering instability in dissipative gases. Phys. Rev. Lett. 70, 1619–1622.
Goldman, D., Shattuck, M. D., Bizon, C., McCormick, W. D., Swift, J. B. & Swinney, H. L. 1998 Absence of inelastic collapse in a realistic three ball model. Phys. Rev. E 57, 4831–4833.
Goldschmidt, M. J. V., Beetstra, R. & Kuipers, J. A. M. 2002 Hydrodynamic modelling of dense gas-fluidised beds: comparison of the kinetic theory of granular flow with three-dimensional hard-sphere discrete particle simulations. Chem. Engng Sci. 57, 2059–2075.
Hopkins, M. A. & Louge, M. Y. 1991 Inelastic microstructure in rapid granular flows of smooth disks. Phys. Fluids A 3, 47–57.
Jenkins, J. T. 2006 Dense shearing flows of inelastic disks. Phys. Fluids 18, 103307.
Jenkins, J. T. 2007 Dense inclined flows of inelastic spheres. Gran. Matter 10, 47–52.
Jenkins, J. T. & Richman, M. W. 1985 Grad's 13-moment system for a dense gas of inelastic spheres. Arch. Rat. Mech. Anal. 87, 355–377.
Jenkins, J. T. & Savage, S. B. 1983 A theory for the rapid flow of identical, smooth, nearly elastic particles. J. Fluid Mech. 130, 186–202.
Khain, E. 2007 Hydrodynamics of fluid-solid coexistence in dense shear granular flow. Phys. Rev. E 75, 051310.
Khain, E. & Meerson, B. 2006 Shear-induced crystallization of a dense rapid granular flow: hydrodynamics beyond the melting point. Phys. Rev. E 73, 061301.
Kumar, V. S. & Kumaran, V. 2005. Voronoi cell volume distribution and configurational entropy of hard spheres. J. Chem. Phys. 123, 114501–114513.
Kumar, V. S. & Kumaran, V. 2006 Bond-orientational analysis of hard-disk and hard-sphere structures. J. Chem. Phys. 124, 204508.
Kumaran, V. 1998 Temperature of a granular material fluidised by external vibrations. Phys. Rev. E 57, 5660–5664.
Kumaran, V. 2004 Constitutive relations and linear stability of a sheared granular flow. J. Fluid Mech. 506, 1–43.
Kumaran, V. 2006 a The constitutive relations for the granular flow of rough particles, and its application to the flow down an inclined plane. J. Fluid Mech. 561, 1–42.
Kumaran, V. 2006 b Kinetic theory for the density plateau in the granular flow down an inclined plane. Europhys. Lett. 73, 1–7.
Kumaran, V. 2006 c Velocity autocorrelations and the viscosity renormalisation in sheared granular flows. Phys. Rev. Lett. 96, 258002–258005.
Kumaran, V. 2008 Dense granular flow down an inclined plane: from kinetic theory to granular dynamics. J. Fluid Mech. 599, 120–168.
Kumaran, V. 2009 a Dynamics of a dilute sheared inelastic fluid. Part 1. Hydrodynamic modes and the velocity correlation functions. Phys. Rev. E 79, 011301.
Kumaran, V. 2009 b Dynamics of a dilute sheared inelastic fluid. Part 2. The effect of correlations. Phys. Rev. E 79, 011302.
Lois, G., Lematre, A. & Carlson, J. M. 2005 Numerical tests of constitutive laws for dense granular flows. Phys. Rev. E 72, 051303.
Luding, S. & McNamara, S. 1998 How to handle the inelastic collapse of a dissipative hard-sphere gas with the TC model. Gran. Matter 1, 113–128.
Lun, C. K. K., Savage, S. B., Jeffrey, D. J. & Chepurniy, N. 1984 Kinetic theories for granular flow: inelastic particles in Couette flow and slightly inelastic particles in a general flow field. J. Fluid Mech. 140, 223–256.
Lutsko, J. F. 2001 Velocity correlations and the structure of nonequilibrium hard-core fluids. Phys. Rev. Lett. 86, 3344–3347.
McNamara, S. & Young, W. R. 1992 Inelastic collapse and clumping in a one-dimensional granular medium. Phys. Fluids A 4, 496.
McNamara, S. & Young, W. R. 1994 Inelastic collapse in two dimensions. Phys. Rev. E 50, R28.
Mitarai, N. & Nakanishi, H. 2005 Bagnold scaling, density plateau, and kinetic theory analysis of dense granular flow. Phys. Rev. Lett. 94, 128001.
Mitarai, N. & Nakanashi, H. 2007 Velocity correlations in the dense granular shear flows: effects on energy dissipation and normal stress. Phys. Rev. E 031305.
Orpe, A. V., Kumaran, V., Reddy, K. A. & Kudrolli, A. 2008 Fast decay of the velocity autocorrelation function in dense shear flow of inelastic hard spheres. Europhys. Lett. 84, 64003.
Pusey, P. N. & van Megan, W. 1989 Dynamic light scattering by non-ergodic media. Physica A 157, 705–741.
Reddy, K. A. & Kumaran, V. 2007 The applicability of constitutive relations from kinetic theory for dense granular flows. Phys. Rev. E 76, 061305.
Reis, P. M., Ingale, R. A. & Shattuck, M. D. 2007 Caging dynamics in a granular fluid. Phys. Rev. Lett. 98, 188301.
Savage, S. B. & Jeffrey, D. J. 1981 The stress tensor in a granular flow at high shear rates. J. Fluid Mech. 110, 255–272.
Sela, N. & Goldhirsch, I. 1998 Hydrodynamic equations for rapid flows of smooth inelastic spheres, to Burnett order. J. Fluid Mech. 361, 41–74.
Sela, N., Goldhirsch, I. & Noskowicz, S. H. 1996 Kinetic theoretical study of a simply sheared two-dimensional granular gas to Burnett order. Phys. Fluids 8, 2337.
Silbert, L. E., Ertas, D., Grest, G. S., Halsey, T. C., Levine, D. & Plimpton, S. J. 2001 Granular flow down an inclined plane: Bagnold scaling and rheology. Phys. Rev. E 64, 51302.
Silbert, L. E., Grest, G. S., Brewster, R. E. & Levine, A. J. 2007 Rheology and contact lifetimes in dense granular flows. Phys. Rev. Lett. 99, 068002.
Torquato, S. 1995 Nearest neighbour statistics for packings of hard disks and spheres. Phys. Rev. E 51, 3170–3182.
Vollmayr-Lee, K. & Zippelius, A. 2005 Heterogeneities in the glassy state. Phys. Rev. E 72, 041507.
Weeks, E. R., Crocker, J. C., Levitt, A. C., Schofield, A. & Weitz, D. A. 2000 Three-dimensional direct imaging of structural relaxation near the colloidal glass transition. Science 287, 627–631.