Fluctuation of the Top Location and Avalanches in the Formation Process of a Sandpile

Details Fluctuation of the Top Location and Avalanches in the Formation Process of a Sandpile Fluctuation of the Top Location and Avalanches in the Formation Process of a Sandpile

2007-06-23

arxiv.org/abs/0706.3432v1

Physics

Condensed Matter

Soft Condensed Matter

15 pages, 13 figures

Scientific paper

10.1143/JPSJ.76.094401

We investigate the formation processes of a sandpile using numerical simulation. We find a new relation between the fluctuation of the motion of the top and the surface state of a sandpile. The top moves frequently as particles are fed one by one every time interval T. The time series of the top location has the power spectrum which obeys a power law, S(f)~f^{\alpha}, and its exponent \alpha depends on T and the system size w. The surface state is characterized by two time scales; the lifetime of an avalanche, T_{a}, and the time required to cause an avalanche, T_{s}. The surface state is fluid-like when T_{a}~T_{s}, and it is solid-like when T_{a}<

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