A Master equation for the probability distribution functions of forces in soft particle packings

Kuniyasu Saitoh, Vanessa Magnanimo, Stefan Luding

研究成果: Article

10 引用 (Scopus)

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We study the microscopic response of force-chain networks in jammed soft particles to quasi-static isotropic (de)compressions by molecular dynamics simulations. We show that not only contacts but also interparticle gaps between the nearest neighbors must be considered for the stochastic evolution of the probability distribution functions (PDFs) of forces, where the mutual exchange of contacts and interparticle gaps, i.e. opening and closing contacts, are also crucial to the incremental system behavior. By numerically determining the transition rates for all changes of contacts and gaps, we formulate a Master equation for the PDFs of forces, where the insight one gets from the transition rates is striking: the mean change of forces reflects non-affine system responses, while their fluctuations obey uncorrelated Gaussian statistics. In contrast, interparticle gaps react mostly affine in average, but imply multi-scale correlations according to a much wider stable distribution function.

元の言語English
ページ(範囲)1253-1258
ページ数6
ジャーナルSoft Matter
11
発行部数7
DOI
出版物ステータスPublished - 2015 2 21
外部発表Yes

ASJC Scopus subject areas

  • Chemistry(all)
  • Condensed Matter Physics

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