▪ Abstract The recent avalanche of research activity in the field of granular matter has yielded
much progress. The use of state-of-the-art (and other) computational and experimental …

It is shown that a gas composed of inelastically colliding particles is unstable to the formation
of high density clusters. A possible physical mechanism underlying this instability is …

The possibility of eliminating chaos in a dynamical system or of decreasing the leading
Liapunov exponent by applying a weak periodic external forcing to the system is demonstrated …

The Chapman–Enskog expansion is generalized in order to derive constitutive relations for
flows of inelastically colliding spheres in three dimensions – to Burnett order. To this end, the …

A set of differential equations for the eigenvalues and eigenvectors of the stability matrix of a
dynamical system, as well as for the Lyapunov exponents and the corresponding …

For years, engineers have used elastic and plastic models to describe the properties of granular
solids, such as sand piles and grains in silos 1 , 2 , 3 . However, there are theoretical 4 , …

The modeling of the elastic properties of disordered or nanoscale solids requires the
foundations of the theory of elasticity to be revisited, as one explores scales at which this theory …

When a granular material experiences strong forcing, as may be the case, eg, for coal or
gravel flowing down a chute or snow (or rocks) avalanching down a mountain slope, the …

The goal of this article is to provide a somewhat critical introduction to the concept of granular
temperature and some of its applications. A brief history of the concept is followed by a …

While methods borrowed from the kinetic theory of gases have been employed to obtain
constitutive relations for rapid granular flows, 1–7 the analogy between a rapid granular flow …