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Article overview
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Patterns and Long Range Correlations in Idealized Granular Flows | J. A. G. Orza
; R. Brito
; T. P. C. Van Noije
; M. H. Ernst
; | Date: |
3 Feb 1997 | Journal: | Int. J. Mod. Phys. C 8, 953 1997 | Subject: | Statistical Mechanics; Fluid Dynamics; Pattern Formation and Solitons | cond-mat.stat-mech nlin.PS patt-sol physics.flu-dyn | Affiliation: | Universidad Complutense de Madrid, Spain), T. P. C. Van Noije and M. H. Ernst (Universiteit Utrecht, The Netherlands | Abstract: | An initially homogeneous freely evolving fluid of inelastic hard spheres develops inhomogeneities in the flow field (vortices) and in the density field (clusters), driven by unstable fluctuations. Their spatial correlations, as measured in molecular dynamics simulations, exhibit long range correlations; the mean vortex diameter grows as the square root of time; there occur transitions to macroscopic shearing states, etc. The Cahn--Hilliard theory of spinodal decomposition offers a qualitative understanding and quantitative estimates of the observed phenomena. When intrinsic length scales are of the order of the system size, effects of physical boundaries and periodic boundaries (finite size effects in simulations) are important. | Source: | arXiv, cond-mat/9702029 | Services: | Forum | Review | PDF | Favorites |
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