Collective dynamics of granular systems has been a very acrtive area of research in nonlinear physics community in the past decade. This area is gradually changing from being mostly empirical discipline to the subject of thorough experimental, theoretical and numerical investigations. We are interested in the complex spatiotemporal dynamics of granular matter. Our work combines analysis of experimental data, numerical "molecular dynamics" simulations, and theoretical modeling. Here are some of the specific projects which we have been working on.

- L.S.Tsimring and
I.Aranson, Cellular and localized structures in a vibrated granular layer,
*Phys. Rev. Lett.*v.79, n.1, 213-216 (1997). - I. Aranson and L.S.Tsimring. Formation of periodic and localized
patterns in an oscillating granular layer, Physica A,
**249**, 103 (1998). - I.Aranson, L.S.Tsimring, and V.Vinokur. Hexagons and
interfaces in a vibrated granular layer,
*Phys. Rev. E*,**59**, R1327-R1330 (1999). - I.Aranson, W.
Kwok, G. Karapetrov, U. Welp, G. W. Crabtree,
V.M. Vinokur and L.S. Tsimring. Controlled dynamics
of interfaces in a vibrated granular layer,
*Phys. Rev. Lett.*,**82**, 731 (1999) - I.Aranson and
L.S.Tsimring. Dynamics of axial
separation in long rotating drums,
*Phys. Rev. Lett.*,**82**, 4643 (1999) - I.Aranson, L.S.Tsimring, and V.Vinokur.
Continuum theory of axial segregation in a long rotating drum,
*Phys. Rev. E*,**60**, 1975-1987 (1999). - L.S.Tsimring, R.Ramaswamy, and
P.Sherman. Dynamics of a shallow fluidized bed,
*Phys. Rev. E*,**60**, 7126-7130 (1999). - D. Blair, I. S. Aranson, G. W. Crabtree,
V. Vinokur, L. S. Tsimring, and C. Josserand, Patterns in thin vibrated
granular layers: Interfaces, hexagons, and superoscillons,
*Phys. Rev. E*,**61**, 5600 (2000). - I.S.Aranson and
L.S.Tsimring, Continuum description of avalanches in granular media,
*Phys.Rev. E*,**64**, 020301 (2001). - D.K.Clark, L.S. Tsimring, and I.S.Aranson, Oscillations and defect turbulence in a shallow fluidized bed, nlin.PS/0005010.
- I.S.Aranson
and L.S.Tsimring, Continuum theory of partially fluidized
granular flows,
*Phys. Rev. E*,**65**, 061303 (2002). - I.S.Aranson
and L.S.Tsimring. Model of coarsening and vortex formation in vibrated
granular rods,
*Phys. Rev. E*,**67**, 021305 (2003). - J.Li, I.S.Aranson, W.-K.Kwok, and L.S.Tsimring.
Periodic and disordered structures in modulated gas-driven granular layer,
*Phys. Rev. Letters*,**90**, 134301 (2003) - D.Volfson, L.S.Tsimring and I.S.Aranson,
Order parameter description of stationary partially fluidized shear granular flows,
Phys. Rev. Lett.
**90**, 254301 (2003). - D.Volfson, L.S.Tsimring and I.S.Aranson,
Partially fluidized shear granular flows: MD simulations and continuum theory,
Phys. Rev. E,
**68**021301 (2003). - D.Volfson, L.S.Tsimring and A.Kudrolli, Anisotropy driven
dynamics in vibrated granular rods, Phys. Rev. E,
**70**, 051312 (2004). - I.S.Aranson and L.S. Tsimring. Patterns and Collective
Behavior in Granular Media: Theoretical Concepts, Reviews of Modern Physics,
**78**, 641-692 (2006). - D. Volfson, B. Meerson, L. S. Tsimring.
Thermal collapse of a granular gas under gravity, Phys. Rev. E,
**73**, 061305 (2006). - I.S.Aranson and L.S. Tsimring. Theory of self-assembly of
microtubules and motors. Phys. Rev. E,
**74**, 031915 (2006).

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