Shearons wave vectors

Figure 3 In the upper part the particles density p vs position y — jcms citid time X is shown for three dijferent velocities (a),(h) v = 0.02, (c) v = 0.04, and (d) v — 0.4, respectively. The white and black colors indicate low and high density, respectively [ the gray scales are chosen independently for each suhfigure to maximise contrast]. The definition of the shearon wave vector q is examplified in (a) and (b), where the arrows indicate / 2q ) and j 2q2), respectively. In the lower part the resulting normal motion of the top plate Y is represented. The model parameters are ay = 1, = 0.5,...

As it was shown in the section dealing with the basic characterization, the mean friction force (/k) always decreases with increasing shearon wave vector q for fixed stage velocity v, i.e. (9(/k) q)v < 0. This suggests other possible methods to con-... 

Figure 9 Plot of the mean friction force (/k) after passing the defect va the defect parameter h for three different shearons with different wave vector q (0/%)y q2 ( / ). and <73 fA/Aj before passing the defect, with q < qi < q. For clarity, symbols are shown only at defect parameters that are integer multiples ofOA, whereas the lines show all available data. The full symbols mark the mean friction force of the unperturbed case [Le. h = ] and hence of the initial shearons, whereas open symbols are used for all other values of h. The model parameters are ay = 1, aj = 0.5, P = 1, Yil =0.75, Yj = 0.75, A = 0.1,8 = 0.01,>.= 1, = 15. Wv = 0.02.

Figure 9. For h < 0.29 [regime (i)] all shearons are scattered to the shearon with wave vector 3. When 0.29 h< 1.33 [regime (ii)] all shearons are scattered to the shearon with wave vector 2, except the region with h 1 [regime (Hi)], where the scattering depends on the initial shearon. For 1.33 < 1.67 [regime (iv)] all shearons are scattered to the shearon with wave vector q. For defect parameters h> 1.67 [regime (v)] one of the particles is stuck at the defect and the shearon is annihilated [6/].

Figure JO Plot of the particles density p after passing the defect vs position y—ycms nd time X for the three different shearons and different defect parameters h. In (a) (c) the three different shearons with wave vector q, q2> cmd q are shown for tfw unperturbed case [Le. /t = 1/. For h = 0.2, = 0.8, and h=. 5 the respective final shearons are identical for all three initial shearons and are shown in (df(f), respectively. The model parameters are = 1, aj = 0.5, P= 1, Yy =0.75, Yx =0.75, A = 0.1, e = 0.01, X= 1,...

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