Budinski-Petković Lj, Lončarević I, Dujak D, Karač A, Šćepanović J R, Jakšić Z M, Vrhovac S B
Faculty of Engineering, Trg D. Obradovića 6, Novi Sad 21000, Serbia.
Faculty of Metallurgy and Materials, University of Zenica, Zenica, Bosnia and Herzegovina.
Phys Rev E. 2017 Feb;95(2-1):022114. doi: 10.1103/PhysRevE.95.022114. Epub 2017 Feb 13.
The properties of the random sequential adsorption of objects of various shapes on a two-dimensional triangular lattice are studied numerically by means of Monte Carlo simulations. The depositing objects are formed by self-avoiding lattice steps, whereby the size of the objects is gradually increased by wrapping the walks in several different ways. The aim of this work is to investigate the impact of the geometrical properties of the shapes on the jamming density θ_{J} and on the temporal evolution of the coverage fraction θ(t). Our results suggest that the order of symmetry axis of a shape exerts a decisive influence on adsorption kinetics near the jamming limit θ_{J}. The decay of probability for the insertion of a new particle onto a lattice is described in a broad range of the coverage θ by the product between the linear and the stretched exponential function for all examined objects. The corresponding fitting parameters are discussed within the context of the shape descriptors, such as rotational symmetry and the shape factor (parameter of nonsphericity) of the objects. Predictions following from our calculations suggest that the proposed fitting function for the insertion probability is consistent with the exponential approach of the coverage fraction θ(t) to the jamming limit θ_{J}.
通过蒙特卡罗模拟对二维三角形晶格上各种形状物体的随机顺序吸附特性进行了数值研究。沉积物体由自回避晶格步组成，通过以几种不同方式环绕行走，物体的尺寸逐渐增大。这项工作的目的是研究形状的几何特性对堵塞密度θ_J以及覆盖率θ(t)的时间演化的影响。我们的结果表明，形状对称轴的阶数对接近堵塞极限θ_J时的吸附动力学有决定性影响。对于所有检查的物体，在广泛的覆盖率θ范围内，新粒子插入晶格的概率衰减由线性函数和拉伸指数函数的乘积描述。在形状描述符的背景下讨论了相应的拟合参数，如物体的旋转对称性和形状因子（非球形参数）。我们计算得出的预测表明，所提出的插入概率拟合函数与覆盖率θ(t)接近堵塞极限θ_J的指数方法一致。
