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Effect of particle size distribution and dynamics on the performance of two-dimensional packing

Author

Listed:
  • Vieira, M. Carvalho
  • Gomes, M.A.F.
  • de Lima, J.P.

Abstract

Extensive computer simulation is used to revisit and to generalize two classical problems: (i) the random car-parking dynamics of A. Rényi and (ii) the irreversible random sequential adsorption (RSA) of parallel squares of same size on a planar substrate of area L2. In this paper, differently from the classical RSA, the squares obey the size distribution n(a)=n(1)a−τ, where a=1,2,3,… is the area of the squares. Using this scaling distribution and three classes of packing dynamics we study the final packing fraction of particles, ⊖(τ,L), and in particular its thermodynamic limit L→∞. We show that the efficiency to attain a high/low packing density of particles on the substrate is strongly dependent on the value of the exponent τ and on the characteristics of the dynamics.

Suggested Citation

  • Vieira, M. Carvalho & Gomes, M.A.F. & de Lima, J.P., 2011. "Effect of particle size distribution and dynamics on the performance of two-dimensional packing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(20), pages 3404-3411.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:20:p:3404-3411
    DOI: 10.1016/j.physa.2011.05.025
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