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Shock propagation in locally driven granular systems.

Jilmy P Joy^1,2, Sudhir N Pathak³, Dibyendu Das⁴

¹The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai 600113, India.

Physical Review. E

|January 20, 2018

Summary

We investigated how energy disturbances spread in hard sphere systems. Our findings reveal a power-law growth for this disturbance, consistent across dimensions and validated by granular experiments.

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Area of Science:

Physics
Statistical Mechanics
Complex Systems

Background:

Understanding shock propagation is crucial in various physical systems.
Particle-driven disturbances are common in granular materials and astrophysical phenomena.
Previous models often simplify particle interactions or system dimensionality.

Purpose of the Study:

To analyze the dynamics of shock propagation in a hard sphere system.
To determine the scaling exponent governing the outward spread of disturbances.
To validate theoretical predictions with experimental data from granular systems.

Main Methods:

Utilized scaling arguments to derive theoretical predictions for disturbance growth.
Employed large-scale event-driven simulations in 2D and 3D.
Investigated both elastic and inelastic collision models.

Main Results:

Identified a universal power-law for disturbance propagation across dimensions.
Determined scaling functions for key physical quantities.
Demonstrated agreement between simulation results and experimental data.

Conclusions:

The study provides a robust framework for understanding shock dynamics in driven granular systems.
Scaling arguments and simulations accurately predict experimental observations.
The findings have implications for modeling energy transport in diverse physical scenarios.