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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

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Published on: December 4, 2017

Hydrodynamic modes in a confined granular fluid.

Ricardo Brito¹, Dino Risso, Rodrigo Soto

¹Departamento de Física Aplicada I and GISC, Universidad Complutense de Madrid, Spain.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|March 19, 2013

Summary

Vibrated granular fluids reach stable states, revealing distinct energy dynamics. A crossover occurs between quasielastic and inelastic regimes, modifying fluid behavior and validating hydrodynamic models.

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Area of Science:

Physics
Soft Matter Physics
Nonlinear Dynamics

Background:

Granular fluids in confined geometries exhibit complex behaviors under external forcing.
Understanding energy injection and dissipation is crucial for modeling granular systems.
Stationary states in granular fluids allow for detailed analysis of emergent dynamics.

Purpose of the Study:

To investigate the hydrodynamic modes governing dynamics in vertically vibrated granular fluids.
To identify and characterize the crossover between different energy evolution regimes.
To validate theoretical hydrodynamic models using microscopic simulations.

Main Methods:

Analysis of time correlation function decay to study energy dynamics.
Theoretical framework development for granular fluid hydrodynamics.
Two-dimensional microscopic simulations of granular systems with specific collision models.

Main Results:

Identified a crossover from a quasielastic to an inelastic regime based on energy evolution.
Demonstrated that energy is slaved to other conserved fields in the inelastic regime.
Observed modified transport properties, including longitudinal viscosity and sound speed, in the inelastic regime.
Found the crossover wave vector is proportional to the system's inelasticity.
Microscopic simulations showed excellent agreement with the theoretical framework.

Conclusions:

The study provides a comprehensive theoretical and computational framework for understanding vibrated granular fluids.
The identified crossover and modified hydrodynamics offer new insights into granular matter dynamics.
Validation of hydrodynamiclike models through simulations supports their applicability to confined granular systems.