Reddy, Ramana and Kumar, Sanjeev (2007) Dispersal of sticky particles. In: Europhysics Letters (EPL), 80 . 56001:1-6.
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In this paper, we show through simulations that when sticky particles are broken continually, particles are dispersed into fine dust only if they are present in a narrow range of volume fractions. The upper limit of this range is 0.20 in the 2D and 0.10 in the 3D space. An increase in the dimensionality of space reduces the upper limit nearly by a factor of two. This scaling holds for dispersal of particles in hyperdimensional space of dimensions up to ten, the maximum dimension studied in this work. The maximum values of volume fractions obtained are significantly lower than those required for close packing and random packing of discs in 2D and spheres in 3D space. These values are also smaller than those required for critical phenomena of cluster percolation. The results obtained are attributed to merger cascades of sticky particles, triggered by breakup events. A simple theory that incorporates this cascade is developed to quantitatively explain the observed scaling of the upper limit with the dimensionality of space. The theory also captures the dynamics of the dispersal process in the corresponding range of particle volume fractions. The theory suggests that cascades of order one and two predominantly decide the upper limit for complete dispersal of particles.
|Item Type:||Journal Article|
|Additional Information:||Copyright of this article belongs to EPL Association (EPLA).|
|Department/Centre:||Division of Mechanical Sciences > Chemical Engineering|
|Date Deposited:||29 Feb 2008|
|Last Modified:||19 Sep 2010 04:43|
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