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

机译:粒度分布和动力学对二维填料性能的影响

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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 L_2. 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.
机译:广泛的计算机模拟可用于回顾和归纳两个经典问题:(i)A.Rényi的随机停车动力学,以及(ii)在相同尺寸的平面基板上具有相同大小的平行正方形的不可逆随机顺序吸附(RSA)区域L​​_2。在本文中,与经典RSA不同,正方形服从大小分布n(a)= n(1)a〜(-τ),其中a = 1,2,3,?。是正方形的面积。利用这种标度分布和三类堆积动力学,我们研究了粒子的最终堆积分数Δ(τ,L),尤其是其热力学极限L→∞。我们表明,在基材上获得高/低颗粒堆积密度的效率在很大程度上取决于指数τ的值和动力学特性。

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