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How sandpiles spill: Sandpile problem in a thick flow regime

S. N. Dorogovtsev·J. F. F. Mendes
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Abstract

We obtain an analytical solution of a one-dimensional sandpile problem in a thick flow regime, when it can be formulated in terms of linear equations. It is shown that a space periodicity takes place during the sandpile evolution even for a sandpile of only one type of particles. Similar periodicity was observed previo usly for many component sandpiles. Space periods are proportional to an input flow of particles $r_0$. We find that the surface angle $θ$ of the pile reaches it's final critical value ($θ_f$) from lower values only at long times. The deviation ($θ_f - θ$) behaves as $(t/r_{0})^{-1/2}$.

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BibTeXRIS

S. N. Dorogovtsev, J. F. F. Mendes. 1999-05-05. How sandpiles spill: Sandpile problem in a thick flow regime. https://doi.org/10.1103/physrevlett.83.2946

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