TY - JOUR
T1 - Mixing of granular materials
T2 - A test-bed dynamical system for pattern formation
AU - Hill, K. M.
AU - Gilchrist, J. F.
AU - Ottino, J. M.
AU - Khakhar, D. V.
AU - McCarthy, J. J.
PY - 1999/8
Y1 - 1999/8
N2 - Mixing of granular materials provides fascinating examples of pattern formation and self-organization. More mixing action - for example, increasing the forcing with more vigorous shaking or faster tumbling - does not guarantee a better-mixed final system. This is because granular mixtures of just barely different materials segregate according to density and size; in fact, the very same forcing used to mix may unmix. Self-organization results from two competing effects: chaotic advection or chaotic mixing, as in the case of fluids, and flow-induced segregation, a phenomenon without parallel in fluids. The rich array of behaviors is ideally suited for nonlinear-dynamics-based inspection. Moreover, the interplay with experiments is immediate. In fact, these systems may constitute the simplest example of coexistence between chaos and self-organization that can be studied in the laboratory. We present a concise summary of the necessary theoretical background and central physical ideas accompanied by illustrative experimental results to aid the reader in exploring this fascinating new area.
AB - Mixing of granular materials provides fascinating examples of pattern formation and self-organization. More mixing action - for example, increasing the forcing with more vigorous shaking or faster tumbling - does not guarantee a better-mixed final system. This is because granular mixtures of just barely different materials segregate according to density and size; in fact, the very same forcing used to mix may unmix. Self-organization results from two competing effects: chaotic advection or chaotic mixing, as in the case of fluids, and flow-induced segregation, a phenomenon without parallel in fluids. The rich array of behaviors is ideally suited for nonlinear-dynamics-based inspection. Moreover, the interplay with experiments is immediate. In fact, these systems may constitute the simplest example of coexistence between chaos and self-organization that can be studied in the laboratory. We present a concise summary of the necessary theoretical background and central physical ideas accompanied by illustrative experimental results to aid the reader in exploring this fascinating new area.
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U2 - 10.1142/S0218127499001036
DO - 10.1142/S0218127499001036
M3 - Article
AN - SCOPUS:0033177134
SN - 0218-1274
VL - 9
SP - 1467
EP - 1484
JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
IS - 8
ER -