Journey of an intruder through the fluidization and jamming transitions of a dense granular media

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 81, Issue 1, 2010, Pages

  Candelier, Raphaël ^a   Dauchot, Olivier ^a  

^a SERVICE DE PHYSIQUE DE L ETAT CONDENSÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUOUS MOTIONS; CRITICAL SCALING; DENSE GRANULAR MEDIA; DRAGGING FORCES; HIGH PACKING FRACTION; INTERMITTENT MOTION; JAMMING TRANSITION; LINEAR RHEOLOGY; PACKING FRACTIONS; STATIC PRESSURE; STRESS FLUCTUATIONS; WAITING TIME;

FLUID DYNAMICS; FLUIDIZATION; MONOLAYERS;

JAMMING;

EID: 76149098814     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.011304     Document Type: Article

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42. Laguerre's tesselation is similar to Delaunay's, but power distances are used instead of distances in order to take polydispersity into account.
43. The averaging windows are rectangles that start at the position of the intruder, with a height of ten diameters of small grains and the maximal possible length.
44. Given a random variable x, if the distribution of x is a power law with a cutoff b, i.e., of the form ρ (x) = x-1+a f (x/b), the average value of x is □x□ =b (∫0 +∞ u-a f (u) du / ∫0 +∞ u- (1+a) f (u) du) =bcst. One can therefore reproduce the evolution of the cutoffs as a function of the packing fraction by taking the experimental averages.