Theoretical model of granular compaction

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Experimental studies show that the density of a vibrated granular material evolves from a low density initial state into a higher density final steady state. The relaxation towards the final density follows an inverse logarithmic law. As the system approaches its final state, a growing number of beads have to be rearranged to enable a local density increase. A free volume argument shows that this number grows as N = {rho}/(1 {minus} {rho}). The time scale associated with such events increases exponentially e{sup {minus}N}, and as a result a logarithmically slow approach to the final state is found {rho} {infinity} ... continued below

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6 p.

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Ben-Naim, E.; Knight, J.B.; Nowak, E.R.; Jaeger, H.M. & Nagel, S.R. November 1, 1997.

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Description

Experimental studies show that the density of a vibrated granular material evolves from a low density initial state into a higher density final steady state. The relaxation towards the final density follows an inverse logarithmic law. As the system approaches its final state, a growing number of beads have to be rearranged to enable a local density increase. A free volume argument shows that this number grows as N = {rho}/(1 {minus} {rho}). The time scale associated with such events increases exponentially e{sup {minus}N}, and as a result a logarithmically slow approach to the final state is found {rho} {infinity} {minus}{rho}(t) {approx_equal} 1/lnt.

Physical Description

6 p.

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OSTI as DE98000813

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  • 17. CNLS annual conference on nonlinear waves and solitons in physical systems, Los Alamos, NM (United States), 12-16 May 1997

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  • Other: DE98000813
  • Report No.: LA-UR--97-2604
  • Report No.: CONF-9705192--
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 548757
  • Archival Resource Key: ark:/67531/metadc692266

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  • November 1, 1997

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  • Aug. 14, 2015, 8:43 a.m.

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  • Feb. 26, 2016, 6:43 p.m.

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Ben-Naim, E.; Knight, J.B.; Nowak, E.R.; Jaeger, H.M. & Nagel, S.R. Theoretical model of granular compaction, article, November 1, 1997; New Mexico. (digital.library.unt.edu/ark:/67531/metadc692266/: accessed October 22, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.