Abstract
Pattern formation in a sandpile is investigated by pouring a ternary mixture of grains into a vertical narrow cell. Size segregation in avalanches causes the formation of patterns. Four kinds of patterns emerge: stratification, segregation, upper stratification-lower segregation, and upper segregation-lower stratification. A phase diagram is constructed in a parameter space of θ11/θ33 and θ22/θ33, where θ11,θ22, and θ33 are the repose angles of small, intermediate, and large grains, respectively. To qualitatively understand pattern formation, a phenomenological model based on a roll-or-stay rule is proposed. A similar pattern formation is found in a numerical simulation of the phenomenological model. These results suggest that the ratios of the repose angles of three kinds of grains are important for pattern formation in a sandpile.
| Original language | English |
|---|---|
| Article number | 062205 |
| Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 91 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - Jun 9 2015 |
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All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics
Cite this
Pattern formation in a sandpile of ternary granular mixtures. / Shimokawa, Michiko; Suetsugu, Yuki; Hiroshige, Ryoma; Hirano, Takeru; Sakaguchi, Hidetsugu.
In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 91, No. 6, 062205, 09.06.2015.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Pattern formation in a sandpile of ternary granular mixtures
AU - Shimokawa, Michiko
AU - Suetsugu, Yuki
AU - Hiroshige, Ryoma
AU - Hirano, Takeru
AU - Sakaguchi, Hidetsugu
PY - 2015/6/9
Y1 - 2015/6/9
N2 - Pattern formation in a sandpile is investigated by pouring a ternary mixture of grains into a vertical narrow cell. Size segregation in avalanches causes the formation of patterns. Four kinds of patterns emerge: stratification, segregation, upper stratification-lower segregation, and upper segregation-lower stratification. A phase diagram is constructed in a parameter space of θ11/θ33 and θ22/θ33, where θ11,θ22, and θ33 are the repose angles of small, intermediate, and large grains, respectively. To qualitatively understand pattern formation, a phenomenological model based on a roll-or-stay rule is proposed. A similar pattern formation is found in a numerical simulation of the phenomenological model. These results suggest that the ratios of the repose angles of three kinds of grains are important for pattern formation in a sandpile.
AB - Pattern formation in a sandpile is investigated by pouring a ternary mixture of grains into a vertical narrow cell. Size segregation in avalanches causes the formation of patterns. Four kinds of patterns emerge: stratification, segregation, upper stratification-lower segregation, and upper segregation-lower stratification. A phase diagram is constructed in a parameter space of θ11/θ33 and θ22/θ33, where θ11,θ22, and θ33 are the repose angles of small, intermediate, and large grains, respectively. To qualitatively understand pattern formation, a phenomenological model based on a roll-or-stay rule is proposed. A similar pattern formation is found in a numerical simulation of the phenomenological model. These results suggest that the ratios of the repose angles of three kinds of grains are important for pattern formation in a sandpile.
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U2 - 10.1103/PhysRevE.91.062205
DO - 10.1103/PhysRevE.91.062205
M3 - Article
AN - SCOPUS:84930958735
VL - 91
JO - Physical Review E
JF - Physical Review E
SN - 2470-0045
IS - 6
M1 - 062205
ER -