Abstract
A semi-continuum model is introduced to study the dynamics ofthe formation of granular heaplets in tapped granular layers.By taking into account the energy dissipation of collisions andscreening effects due to avalanches, this model is able toreproduce qualitatively the pattern of these heaplets. Oursimulations show that the granular heaplets are characterized byan effective surface tension which depends on the magnitude ofthe tapping intensity. Also, we observe that there is acoarsening effect in that the average size of the heaplets, V,grows as the number of taps k increases. The growth law atintermediate times can be fitted by a scaling function V~kz but the range of validity of the power law is limited bysize effects. The growth exponent z appears to diverge as thetapping intensity is increased.
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