A 1-d Ising model for ripple formation
Nicolas Vandewalle, Serge Galam
Abstract
A 1-d Ising model is shown to reproduce qualitatively the dynamics of ripple formation. Saltation effect is imposed using a Kawasaki dynamics and a pair interaction over some distance l. Within this model, the ripple state turns out to be metastable in agreement with cellular automata simulations as well as recent under water 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 2-dimensional l x infinity static problem.
Create a lesson
Related papers
Testing Replica Symmetry Breaking in the three-dimensional Edwards-Anderson model by using vanishing fields
Miguel Aguilar-Janita, Silvio Franz, Victor Martin-Mayor et al.
Deep Learning of Phase Transitions for Bilinear-Biquadratic Spin-1 Chains from Correlation Aspects
Ming-Chiang Chung, Yu-Ting Kuo, Ian McCulloch et al.
Resolving Structural Uncertainty in Stochastic Dynamical Systems via Ensemble-Based Bayesian Inference
Francesco Zambelli, Valeria D'Andrea, Manlio De Domenico
Seismology of Glasses
Zhiyu Cao, Peter G. Wolynes
Orbital cancellation and reentrant localization in a quasiperiodic trimer ladder
Xin Wang, Pei-Jie Chang, Quanfeng Lu et al.
Quantum Localization in Geometric Complex Networks
Jan Lewenstein-Sanpera, Tobias Grass, M. Àngeles Serrano et al.