A Master equation for force distributions in polydisperse frictional particle systems

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Abstract

An incremental evolution equation, i.e. a Master equation in statistical mechanics, is introduced for force distributions in polydisperse frictional particle packings. As basic ingredients of the Master equation, the conditional probability distributions of particle overlaps are determined by molecular dynamics simulations. Interestingly, tails of the distributions become much narrower in the case of frictional particles than frictionless particles, implying that correlations of overlaps are strongly reduced by microscopic friction. Comparing different size distributions, we find that the tails are wider for the wider distribution.
Original languageEnglish
Title of host publicationProceedings of the 4th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2015
EditorsE. Onate, M. Bischoff, D.R.J. Owen, P. Wriggers, T. Zohdi
PublisherInternational Center for Numerical Methods in Engineering
Number of pages12
ISBN (Print)9788494424472
Publication statusPublished - 28 May 2015

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force distribution
statistical mechanics
ingredients
friction
molecular dynamics
simulation

Keywords

  • IR-99060
  • METIS-314810

Cite this

Saitoh, K., Magnanimo, V., & Luding, S. (2015). A Master equation for force distributions in polydisperse frictional particle systems. In E. Onate, M. Bischoff, D. R. J. Owen, P. Wriggers, & T. Zohdi (Eds.), Proceedings of the 4th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2015 International Center for Numerical Methods in Engineering.
Saitoh, Kuniyasu ; Magnanimo, Vanessa ; Luding, Stefan . / A Master equation for force distributions in polydisperse frictional particle systems. Proceedings of the 4th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2015. editor / E. Onate ; M. Bischoff ; D.R.J. Owen ; P. Wriggers ; T. Zohdi. International Center for Numerical Methods in Engineering, 2015.
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abstract = "An incremental evolution equation, i.e. a Master equation in statistical mechanics, is introduced for force distributions in polydisperse frictional particle packings. As basic ingredients of the Master equation, the conditional probability distributions of particle overlaps are determined by molecular dynamics simulations. Interestingly, tails of the distributions become much narrower in the case of frictional particles than frictionless particles, implying that correlations of overlaps are strongly reduced by microscopic friction. Comparing different size distributions, we find that the tails are wider for the wider distribution.",
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Saitoh, K, Magnanimo, V & Luding, S 2015, A Master equation for force distributions in polydisperse frictional particle systems. in E Onate, M Bischoff, DRJ Owen, P Wriggers & T Zohdi (eds), Proceedings of the 4th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2015. International Center for Numerical Methods in Engineering.

A Master equation for force distributions in polydisperse frictional particle systems. / Saitoh, Kuniyasu; Magnanimo, Vanessa ; Luding, Stefan .

Proceedings of the 4th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2015. ed. / E. Onate; M. Bischoff; D.R.J. Owen; P. Wriggers; T. Zohdi. International Center for Numerical Methods in Engineering, 2015.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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N2 - An incremental evolution equation, i.e. a Master equation in statistical mechanics, is introduced for force distributions in polydisperse frictional particle packings. As basic ingredients of the Master equation, the conditional probability distributions of particle overlaps are determined by molecular dynamics simulations. Interestingly, tails of the distributions become much narrower in the case of frictional particles than frictionless particles, implying that correlations of overlaps are strongly reduced by microscopic friction. Comparing different size distributions, we find that the tails are wider for the wider distribution.

AB - An incremental evolution equation, i.e. a Master equation in statistical mechanics, is introduced for force distributions in polydisperse frictional particle packings. As basic ingredients of the Master equation, the conditional probability distributions of particle overlaps are determined by molecular dynamics simulations. Interestingly, tails of the distributions become much narrower in the case of frictional particles than frictionless particles, implying that correlations of overlaps are strongly reduced by microscopic friction. Comparing different size distributions, we find that the tails are wider for the wider distribution.

KW - IR-99060

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A2 - Onate, E.

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PB - International Center for Numerical Methods in Engineering

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Saitoh K, Magnanimo V, Luding S. A Master equation for force distributions in polydisperse frictional particle systems. In Onate E, Bischoff M, Owen DRJ, Wriggers P, Zohdi T, editors, Proceedings of the 4th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2015. International Center for Numerical Methods in Engineering. 2015