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1D Ising model for ripple formation
Vandewalle, Nicolas; Galam, S.
2000In Journal of Physics. A, Mathematical and General, 33 (28), p. 4955-4962
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Abstract :
[en] A 1D Ising model is shown to reproduce qualitatively the dynamics of ripple formation. The saltation effect is imposed using a Kawasaki dynamics and a pair interaction over some distance E. Within this model, the ripple state turns out to be metastable, in agreement with cellular automata simulations as well as recent underwater experiments. A dynamical phase diagram is obtained. A mean-field solution of the problem is given in terms of the ripple size. A mapping is then performed onto a 2D E x infinity static problem.
Disciplines :
Physics
Author, co-author :
Vandewalle, Nicolas  ;  Université de Liège - ULiège > Département de physique > Physique statistique
Galam, S.
Language :
English
Title :
1D Ising model for ripple formation
Publication date :
21 July 2000
Journal title :
Journal of Physics. A, Mathematical and General
ISSN :
0305-4470
eISSN :
1361-6447
Publisher :
Institute of Physics, Bristol, United Kingdom
Volume :
33
Issue :
28
Pages :
4955-4962
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 07 August 2009

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