Birth and sudden death of a granular cluster

J.P. van der Weele, Roger M. van der Meer, Detlef Lohse

Research output: Chapter in Book/Report/Conference proceedingChapterProfessional

Abstract

Granular material is vibro-fluidized in N connected compartments. For sufficiently strong shaking the particles are statistically uniformly distributed over the compartments, but if the shaking intensity is lowered this uniform distribution gives way to a clustered state. The clustering transition is experimentally shown to be of 2nd order for N = 2 compartments and of 1st order for N ≥ 3. In particular, the latter is hysteretic, involves long-lived transient states, and exhibits a striking lack of time reversibility. In the strong shaking regime, a cluster breaks down very abruptly and in its further decay shows anomalous diffusion, with the length scale going as t 1/3 rather than the standard t 1/2. We focus upon the self-similar nature of this process. The observed phenomena are all accounted for within a flux model.
Original languageUndefined
Title of host publicationAdvances in Solid State Physics 42
EditorsB. Kramer
Place of PublicationNew York
PublisherSpringer
Pages371-382
Number of pages12
ISBN (Print)3540429077
DOIs
Publication statusPublished - 2002

Publication series

Name
PublisherSpringer-Verlag

Keywords

  • METIS-211509
  • IR-45134

Cite this

van der Weele, J. P., van der Meer, R. M., & Lohse, D. (2002). Birth and sudden death of a granular cluster. In B. Kramer (Ed.), Advances in Solid State Physics 42 (pp. 371-382). New York: Springer. https://doi.org/10.1007/3-540-45618-X_29
van der Weele, J.P. ; van der Meer, Roger M. ; Lohse, Detlef. / Birth and sudden death of a granular cluster. Advances in Solid State Physics 42. editor / B. Kramer. New York : Springer, 2002. pp. 371-382
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van der Weele, JP, van der Meer, RM & Lohse, D 2002, Birth and sudden death of a granular cluster. in B Kramer (ed.), Advances in Solid State Physics 42. Springer, New York, pp. 371-382. https://doi.org/10.1007/3-540-45618-X_29

Birth and sudden death of a granular cluster. / van der Weele, J.P.; van der Meer, Roger M.; Lohse, Detlef.

Advances in Solid State Physics 42. ed. / B. Kramer. New York : Springer, 2002. p. 371-382.

Research output: Chapter in Book/Report/Conference proceedingChapterProfessional

TY - CHAP

T1 - Birth and sudden death of a granular cluster

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PY - 2002

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N2 - Granular material is vibro-fluidized in N connected compartments. For sufficiently strong shaking the particles are statistically uniformly distributed over the compartments, but if the shaking intensity is lowered this uniform distribution gives way to a clustered state. The clustering transition is experimentally shown to be of 2nd order for N = 2 compartments and of 1st order for N ≥ 3. In particular, the latter is hysteretic, involves long-lived transient states, and exhibits a striking lack of time reversibility. In the strong shaking regime, a cluster breaks down very abruptly and in its further decay shows anomalous diffusion, with the length scale going as t 1/3 rather than the standard t 1/2. We focus upon the self-similar nature of this process. The observed phenomena are all accounted for within a flux model.

AB - Granular material is vibro-fluidized in N connected compartments. For sufficiently strong shaking the particles are statistically uniformly distributed over the compartments, but if the shaking intensity is lowered this uniform distribution gives way to a clustered state. The clustering transition is experimentally shown to be of 2nd order for N = 2 compartments and of 1st order for N ≥ 3. In particular, the latter is hysteretic, involves long-lived transient states, and exhibits a striking lack of time reversibility. In the strong shaking regime, a cluster breaks down very abruptly and in its further decay shows anomalous diffusion, with the length scale going as t 1/3 rather than the standard t 1/2. We focus upon the self-similar nature of this process. The observed phenomena are all accounted for within a flux model.

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van der Weele JP, van der Meer RM, Lohse D. Birth and sudden death of a granular cluster. In Kramer B, editor, Advances in Solid State Physics 42. New York: Springer. 2002. p. 371-382 https://doi.org/10.1007/3-540-45618-X_29