Coarse grained dynamics of the freely cooling granular gas in one dimension

Abstract

We study the dynamics and structure of clusters in the inhomogeneous clustered regime of a freely cooling granular gas of point particles in one dimension. The coefficient of restitution is modeled as $r_0<1$ or 1 depending on whether the relative speed is greater or smaller than a velocity scale $\delta$. The effective fragmentation rate of a cluster is shown to rise sharply beyond a $\delta$ dependent time scale. This crossover is coincident with the velocity fluctuations within a cluster becoming order $\delta$. Beyond this crossover time, the cluster size distribution develops a nontrivial power law distribution, whose scaling properties are related to those of the velocity fluctuations. We argue that these underlying features are responsible behind the recently observed nontrivial coarsening behaviour in the one dimensional freely cooling granular gas.

7 Pages, 9 Figures

References in corpus (7)

• Dynamics of Freely Cooling Granular Gases
• Experimental investigation of the freely cooling granular gas
• Correlations in Ballistic Processes
• Violation of Porod law in a freely cooling granular gas in one dimension
• Universal scaling dynamics in a perturbed granular gas
• On the equivalence of the freely cooling granular gas to the sticky gas
• Lattice models for ballistic aggregation in one-dimension

Cited by in corpus (5)

• Spatial Structures and Giant Number Fluctuations in Models of Active Matter
• Energy decay in three-dimensional freely cooling granular gas
• Ballistic Aggregation in Systems of Inelastic Particles: Cluster growth, structure and aging
• Inhomogeneous Cooling of the Rough Granular Gas in Two Dimensions
• Shock propagation in locally driven granular systems