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Clustering instability in dissipative gases
Abstract
It is shown that a gas composed of inelastically colliding particles is unstable to the formation of high density clusters. A possible physical mechanism underlying this instability is proposed. A theoretical analysis, based on the Jenkins-Richman equations, as well as a numerical simulation of the dynamics of an unforced system of hard disks in a periodic rectangular enclosure, renders support to the proposed mechanism. In particular, a simple formula for the characteristic intercluster distance is derived and found to be in agreement with the numerical results. Applications to granular systems of engineering interest as well as to astrophysics are briefly outlined.
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Citations
Cited by
Model for collisions in granular gases
Brilliantov, N. V., Spahn, F., Hertzsch, J.-M., & Pöschel, T. (1996) · Physical Review E · doi:10.1103/physreve.53.5382 · Cited by 892
Patterns and collective behavior in granular media: Theoretical concepts
Aranson, I. S., & Tsimring, L. S. (2006) · Reviews of Modern Physics · doi:10.1103/revmodphys.78.641 · Cited by 848
The Physics of Granular Materials
Jaeger, H. M., Nagel, S. R., & Behringer, R. P. (1996) · Physics Today · doi:10.1063/1.881494 · Cited by 554
Modelling of a RDC using a combined CFD-population balance approach
Vikhansky, A., & Kraft, M. (2004) · Chemical Engineering Science · doi:10.1016/j.ces.2004.02.016 · Cited by 59
Modeling particulate self-healing materials and application to uni-axial compression
Herbst, O., & Luding, S. (2008) · International Journal of Fracture · doi:10.1007/s10704-008-9299-y · Cited by 37
Metadata
- Authors
- Goldhirsch, I., & Zanetti, G.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1993-03-15
- Volume
- 70
- Issue
- 11
- Pages
- 1619-1622
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2061569586
- Cited by
- 921
- References
- 0
- FWCI
- 20.47
- Type
- journal article
- Language
- en
- Open access
- closed
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