Summary
We present and analyze a cellular automaton model for granular surface flow along piles and inclines. It is based on the intuitive idea that granular surface flow happens via successive excitation of small-scale avalanches. We show that this model reproduces several essential experimental results for granular surface flow and give a continuum approximation of its spatio-temporal evolution.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
H. M. Jaeger, C. Liu, S. R. Nagel: Phys. Rev. Lett. 62, 40 (1989)
H. M. Jaeger, S. R. Nagel, R. P. Behringer: Rev. Mod. Phys. 68, 1259 (1996)
L. P. Kadanoff: Rev. Mod. Phys. 71, 435 (1999)
T. Pöschel, T. Schwager: Computational Granular Dynamics (Springer, Berlin Heidelberg New York 2005)
GDR MiDi: Eur. Phys. J. E 14, 341 (2004)
J.-P. Bouchaud, M. E. Cates, J. Ravi Prakash, S. F. Edwards: Phys. Rev. Lett. 74, 1982 (1995)
S. Douady, B. Andreotti, S. Douady: Eur. Phys. J. B 11, 131 (1999)
I. S. Aranson, L. S. Tsimring: Phys. Rev. E 64, 020301 (2001)
H. M. Jaeger, C. Liu, S. R. Nagel, T. A. Witten: Europhys. Lett. 11, 619 (1990)
V. G. Benza, F. Nori, O. Pla: Phys. Rev. E 48, 4095 (1993)
S. J. Linz, P. Hänggi: Phys. Rev. E 51, 2538 (1995)
S. J. Linz, P. Hänggi: Phys. Rev. E 50, 3464 (1994)
S. J. Linz, P. Hänggi: Physica D 97, 577 (1996)
W. Hager, S. J. Linz, P. Hänggi: Europhys. Lett. 40, 393 (1997)
S. J. Linz, W. Hager, P. Hänggi: CHAOS 9, 649 (1999)
T. G. Drake: J. Geophys. Res. 95, 8681 (1990)
A. Daerr, S. Douady: Nature 399, 241 (1999)
A. Daerr: Phys. Fluids 11, 2115 (2001)
J. Rajchenbach: Phys. Rev. Lett. 65, 2221 (1990)
J. Rajchenbach: Phys. Rev. Lett. 88, 014301 (2002)
A. Hoffmann, S. J. Linz: in preparation
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Hoffmann, A., Linz, S.J. (2007). A Domino Model for Granular Surface Flow. In: Schadschneider, A., Pöschel, T., Kühne, R., Schreckenberg, M., Wolf, D.E. (eds) Traffic and Granular Flow’05. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-47641-2_13
Download citation
DOI: https://doi.org/10.1007/978-3-540-47641-2_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-47640-5
Online ISBN: 978-3-540-47641-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)