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  A universal scaling law for the evolution of granular gases.

Hummel, M., Clewett, J. P. D., & Mazza, M. G. (2016). A universal scaling law for the evolution of granular gases. Europhysics Letters, 114(1): 10002. doi:10.1209/0295-5075/114/10002.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002A-5142-7 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002D-3168-5
Genre: Journal Article

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 Creators:
Hummel, Mathias1, Author              
Clewett, James P. D.1, Author              
Mazza, Marco G.1, Author              
Affiliations:
1Group Non-equilibrium soft matter, Department of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063308              

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 Abstract: Dry, freely evolving granular materials in a dilute gaseous state coalesce into dense clusters only due to dissipative interactions. Here we show that the evolution of a dilute, freely cooling granular gas is determined in a universal way by the ratio of inertial flow and thermal velocities, that is, the Mach number. Theoretical calculations and direct numerical simulations of the granular Navier-Stokes equations show that irrespective of the coefficient of restitution, density or initial velocity distribution, the density fluctuations follow a universal quadratic dependence on the system’s Mach number. We find that the clustering exhibits a scale-free dynamics but the clustered state becomes observable when the Mach number is approximately of O(1). Our results provide a method to determine the age of a granular gas and predict the macroscopic appearance of clusters.

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Language(s): eng - English
 Dates: 2016-04-222016-04
 Publication Status: Published in print
 Pages: -
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 Table of Contents: -
 Rev. Method: Peer
 Identifiers: DOI: 10.1209/0295-5075/114/10002
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Title: Europhysics Letters
Source Genre: Journal
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Pages: 6 Volume / Issue: 114 (1) Sequence Number: 10002 Start / End Page: - Identifier: Other: 0295-5075