ISSN:
1662-9752
Source:
Scientific.Net: Materials Science & Technology / Trans Tech Publications Archiv 1984-2008
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
Notes:
We perform numerical simulation of a lattice model for the compaction of a granularmaterial based on the idea of reversible random sequential adsorption. Reversible randomsequential adsorption of objects of various shapes on a two−dimensional triangular lattice is studiednumerically by means of Monte Carlo simulations. The growth of the coverage ρ(t) above thejamming limit to its steady−state value ρ∞ is described by a pattern ρ (t) = ρ∞ − [removed info]ρEβ[−(t/τ)β],where Eβ denotes the Mittag−Leffler function of order β ∈ (0, 1). For the first time, the parameter τis found to decay with the desorption probability P− according to a power law τ = A P−−γ. Exponentγ is the same for all shapes, γ = 1.29 ± 0.01, but parameter A depends only on the order of symmetryaxis of the shape. Finally, we present the possible relevance of the model to the compaction ofgranular objects of various shapes
Type of Medium:
Electronic Resource
URL:
http://www.tib-hannover.de/fulltexts/2011/0528/02/13/transtech_doi~10.4028%252Fwww.scientific.net%252FMSF.518.355.pdf
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