Macroscopically equivalent granular systems with different numbers of particles

N.A. Rivas, Stefan Luding, D. van der Meer (Corresponding Author)

Research output: Contribution to journalArticleAcademicpeer-review

16 Downloads (Pure)

Abstract

One defining property of granular materials is their low number of constituents when compared to molecular systems. This implies that (statistical) fluctuations can have a dominant effect on the global dynamics of the system. In the following we create identical time-averaged macroscopic states with significantly different numbers of particles in order to directly study the role of fluctuations in granular systems. The dependency of the hydrodynamic conservation equations on the particles' size is derived, which directly relates to different particle–number densities. We show that, provided that the particles' dissipation is properly scaled, equivalent states can be obtained in the small particle size limit. Simulations of the granular Leidenfrost state confirm the validity of the scalings, and allow us to study the effects of fluctuations on collective oscillations. We observe that the amplitude of these oscillations decreases with the square root of the number of particles, while their frequency remains constant.
Original languageEnglish
Article number035006
Number of pages6
JournalJournal of Physics Communications
Volume3
Issue number3
Early online date30 Jan 2019
DOIs
Publication statusPublished - 6 Mar 2019

Fingerprint

oscillations
conservation equations
granular materials
dissipation
hydrodynamics
scaling
simulation

Cite this

@article{ffc3d0d9963849f6a1bab575081239d8,
title = "Macroscopically equivalent granular systems with different numbers of particles",
abstract = "One defining property of granular materials is their low number of constituents when compared to molecular systems. This implies that (statistical) fluctuations can have a dominant effect on the global dynamics of the system. In the following we create identical time-averaged macroscopic states with significantly different numbers of particles in order to directly study the role of fluctuations in granular systems. The dependency of the hydrodynamic conservation equations on the particles' size is derived, which directly relates to different particle–number densities. We show that, provided that the particles' dissipation is properly scaled, equivalent states can be obtained in the small particle size limit. Simulations of the granular Leidenfrost state confirm the validity of the scalings, and allow us to study the effects of fluctuations on collective oscillations. We observe that the amplitude of these oscillations decreases with the square root of the number of particles, while their frequency remains constant.",
author = "N.A. Rivas and Stefan Luding and {van der Meer}, D.",
year = "2019",
month = "3",
day = "6",
doi = "10.1088/2399-6528/ab034a",
language = "English",
volume = "3",
journal = "Journal of Physics Communications",
issn = "2399-6528",
publisher = "Institute of Physics Publishing",
number = "3",

}

Macroscopically equivalent granular systems with different numbers of particles. / Rivas, N.A.; Luding, Stefan; van der Meer, D. (Corresponding Author).

In: Journal of Physics Communications, Vol. 3, No. 3, 035006, 06.03.2019.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Macroscopically equivalent granular systems with different numbers of particles

AU - Rivas, N.A.

AU - Luding, Stefan

AU - van der Meer, D.

PY - 2019/3/6

Y1 - 2019/3/6

N2 - One defining property of granular materials is their low number of constituents when compared to molecular systems. This implies that (statistical) fluctuations can have a dominant effect on the global dynamics of the system. In the following we create identical time-averaged macroscopic states with significantly different numbers of particles in order to directly study the role of fluctuations in granular systems. The dependency of the hydrodynamic conservation equations on the particles' size is derived, which directly relates to different particle–number densities. We show that, provided that the particles' dissipation is properly scaled, equivalent states can be obtained in the small particle size limit. Simulations of the granular Leidenfrost state confirm the validity of the scalings, and allow us to study the effects of fluctuations on collective oscillations. We observe that the amplitude of these oscillations decreases with the square root of the number of particles, while their frequency remains constant.

AB - One defining property of granular materials is their low number of constituents when compared to molecular systems. This implies that (statistical) fluctuations can have a dominant effect on the global dynamics of the system. In the following we create identical time-averaged macroscopic states with significantly different numbers of particles in order to directly study the role of fluctuations in granular systems. The dependency of the hydrodynamic conservation equations on the particles' size is derived, which directly relates to different particle–number densities. We show that, provided that the particles' dissipation is properly scaled, equivalent states can be obtained in the small particle size limit. Simulations of the granular Leidenfrost state confirm the validity of the scalings, and allow us to study the effects of fluctuations on collective oscillations. We observe that the amplitude of these oscillations decreases with the square root of the number of particles, while their frequency remains constant.

U2 - 10.1088/2399-6528/ab034a

DO - 10.1088/2399-6528/ab034a

M3 - Article

VL - 3

JO - Journal of Physics Communications

JF - Journal of Physics Communications

SN - 2399-6528

IS - 3

M1 - 035006

ER -