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Updated: May 27, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Hydrodynamics of a vibrated granular monolayer
Evgeniy Khain1, Igor S Aranson
1Department of Physics, Oakland University, Rochester, Michigan 48309, USA.
Phase separation in vibrated granular materials is explained by negative compressibility. A dense condensate forms at low vibration amplitudes, surrounded by a dilute gas phase.
Area of Science:
- Physics
- Complex Systems
- Granular Materials
Background:
- Granular materials exhibit complex behaviors when vibrated.
- Phase separation, forming dense and dilute regions, is observed in vibrated granular monolayers.
- Previous experiments showed this phenomenon occurs below a critical vibration amplitude.
Purpose of the Study:
- To theoretically explain the phase separation in a vibrated granular monolayer.
- To understand the coexistence of dilute and dense phases.
- To investigate the role of granular gas properties in phase separation.
Main Methods:
- Employing Navier-Stokes granular hydrodynamics for theoretical analysis.
- Analyzing the dynamics in the horizontal plane perpendicular to vibration.
- Connecting phase separation to material compressibility.
Main Results:
- The study theoretically explains the observed phase separation.
- A negative compressibility of the granular gas is identified as the cause.
- The formation of a dense condensate surrounded by a dilute gas is modeled.
Conclusions:
- Phase separation in vibrated granular monolayers is driven by negative compressibility.
- Granular hydrodynamics provides a framework to understand this complex phenomenon.
- The findings offer insights into the behavior of granular systems.
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