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Volumn 70, Issue 11, 1993, Pages 1619-1622

Clustering instability in dissipative gases

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Indexed keywords

EID: 12044258224 PISSN: 00319007 EISSN: None Source Type: Journal
DOI: 10.1103/PhysRevLett.70.1619 Document Type: Article

Times cited : (853)

References (15)

1
- 0025000507
- For a recent review, cf., and numerous references therein.
- (1990) Annu. Rev. Fluid Mech. , vol.22 , pp. 57
- Campbell, C.S.¹

2
- 84927460262
- For astrophysical applications, cf. The Formation and Evolution of Planetary Systems, Proceedings of the Formation and Evolution of Planetary Systems Meeting, Baltimore, 1988, edited by H. A. Weaver and L. Danly (Cambridge Univ. Press, Cambridge, 1989).

3
- 5544299366
- Clusters in granular flows were observed numerically by
- (1990) Phys. Fluids A , vol.3 , pp. 4
- Hopkins, M.A.¹ Louge²

5
- 84927469173
- Vol. 2, p. 1249, in Mechanics Computing in 1990's and Beyond, edited by, (ASCE, 1991), and in a recent work on one-dimensional inelastic gases by
- (1992) Phys. Fluids A , vol.4 , pp. 496
- Walton, O.R.¹ Kim, H.² Rosato, A.D.³ Adeli, H.⁴ Sierakowski, R.L.⁵ York⁶ McNamara, S.⁷ Young, W.R.⁸

6
- 0020811698
- Cf., e.g.
- (1983) J. Fluid Mech. , vol.134 , pp. 401
- Haff, P.K.¹

10
- 0020751294
- (1983) J. Fluid Mech. , vol.130 , pp. 187
- Jenkins, J.T.¹ Savage, S.B.²

13
- 84927503465
- In the original equations epsilon is taken to be 1 -ẽ. Since the energy dissipated in a single collision is proportional to $1 -&etilde2, on the average, we prefer to choose ε = 1 -&etilde2.

14
- 84927497668
- The initial condition is prepared in two steps. First a random generator is used to assign the particles random positions (in the rectangle) and random velocities whose distribution is Maxwellian. The next step consists of performing a run in which the collisions are taken to be elastic for about 100 collisions per particle to ensure an initial equilibrium state (uniformity of density is then tested by computing the time average of the density in each of the 32 times 32 cells, cf. text; the isotropy and Maxwellian nature of the initial condition was tested in a similar way as well).

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