Shock propagation in locally driven granular systems
arXiv:1706.09695 · doi:10.1103/PhysRevE.96.032908
Abstract
We study shock propagation in a system of initially stationary hard-spheres that is driven by a continuous injection of particles at the origin. The disturbance created by the injection of energy spreads radially outwards through collision between particles. Using scaling arguments, we determine the exponent characterizing the power law growth of this disturbance in all dimensions. The scaling functions describing the various physical quantities are determined using large scale event driven simulations in two and three dimensions for both the elastic and the inelastic system. The results are shown to describe well the data from two different experiments on granular systems that are similarly driven.
8 pages, 9 figures
References in corpus (15)
- Patterns and Collective Behavior in Granular Media: Theoretical Concepts
- Shock-Like Dynamics of Inelastic Gases
- Dynamics of Freely Cooling Granular Gases
- Experimental investigation of the freely cooling granular gas
- Cluster Growth in two- and three-dimensional Granular Gases
- Exact solution of the one-dimensional ballistic aggregation
- Energy decay in three-dimensional freely cooling granular gas
- Violation of Porod law in a freely cooling granular gas in one dimension
- Exciting Hard Spheres
- Universal scaling dynamics in a perturbed granular gas
- On the equivalence of the freely cooling granular gas to the sticky gas
- Blast dynamics in a dissipative gas
- Inhomogeneous Cooling of the Rough Granular Gas in Two Dimensions
- Shock Propagation in Granular Flow Subjected to an External Impact
- Coarse grained dynamics of the freely cooling granular gas in one dimension
Cited by in corpus (4)
- Blast in a One-Dimensional Cold Gas: From Newtonian Dynamics to Hydrodynamics
- The Taylor-von Neumann-Sedov blast-wave solution: comparisons with microscopic simulations of a one-dimensional gas
- Blast waves in two and three dimensions: Euler versus Navier Stokes equations
- Asymptotic behavior of the velocity distribution of driven inelastic gas with scalar velocities: analytical results