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The surface statistics of a granular aggregate
Abstract
The problem of the surface fluctuations in a settled granular material is posed. A simple model is given which describes the process by which a particle settles and comes to rest on the existing surface of the packing and from this a set of Langevin equations for the Fourier modes of the surface are derived. These equations imply that the Fourier amplitudes behave like the velocities of a set of independent Brownian particles. We show that this results in logarithmically divergent surface fluctuations if the flux of particles onto the surface is random, the divergence being removed by a more accurate description of the settling material, for example by having the granules fall through a sieve.
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Cites
Stochastic Problems in Physics and Astronomy
Chandrasekhar, S. (1943) · Reviews of Modern Physics · doi:10.1103/revmodphys.15.1 · Cited by 8,470
Classical kinetic theory of fluids
Résibois, P. M. V., & Leener, M. D. (1977) · CERN Document Server (European Organization for Nuclear Research) · Cited by 666
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Universality classes in nonequilibrium lattice systems
Ódor, G. (2004) · Reviews of Modern Physics · doi:10.1103/revmodphys.76.663 · Cited by 835
THE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASS
CORWIN, I. (2012) · Random Matrices: Theory and Applications · doi:10.1142/s2010326311300014 · Cited by 759
Keldysh field theory for driven open quantum systems
Sieberer, L. M., Buchhold, M., & Diehl, S. (2016) · Reports on Progress in Physics · doi:10.1088/0034-4885/79/9/096001 · Cited by 568
Morphology of ion-sputtered surfaces
Makeev, M. A., Cuerno, R., & Barabási, A.-L. (2002) · Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms · doi:10.1016/s0168-583x(02)01436-2 · Cited by 503
Metadata
- Authors
- Edwards, S. F., & Wilkinson, D. R.
- Venue
- Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
- Publisher
- The Royal Society
- Published
- 1982-05-08
- Volume
- 381
- Issue
- 1780
- Pages
- 17-31
- ISSN
- 0080-4630 (ISSN-L)
- 2053-9169
- OpenAlex
- W1982115118
- Cited by
- 1,533
- References
- 2
- FWCI
- 0.53
- Type
- journal article
- Language
- en
- Open access
- closed
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- Edwards, S. F., & Wilkinson, D. R. (1982). The surface statistics of a granular aggregate. Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences. https://doi.org/10.1098/rspa.1982.0056
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
