论文标题
在两种拮抗过程中的渗透在二维中
Percolation in two-species antagonistic random sequential adsorption in two dimensions
论文作者
论文摘要
我们考虑两种物种的顺序吸附（RSA），其中A和B的物种在晶格上随机随机地吸附，其限制性相反的物种不能占据最近的邻居位点。当选择A粒子的吸附试验的概率$ x_a $达到临界值$ 0.626441（1）$时，A物种渗透和/或阻塞的位点X（至少一个A和一个B最近的邻居）渗透了。分析尺寸分布指数$τ$，包装概率和多余的群集编号表明渗透过渡与普通渗透相一致。我们获得了低$ x_b = 1 -x_a $干扰行为的确切结果：$θ_a= 1- x_b+b_2 x_b^2+\ m nathcal {o}（x_b^3）$，$θ_b= x_b = x_b/（z+1）和$θ_b$分别是物种A和B的饱和覆盖率。我们还展示了A和X簇的包装概率之间的差异以及A和X簇数的差异以及差异如何准确地找到过渡点。对于一维情况，似乎三个站点的近似值为覆盖范围提供了确切的结果。
We consider two-species random sequential adsorption (RSA) in which species A and B adsorb randomly on a lattice with the restriction that opposite species cannot occupy nearest-neighbor sites. When the probability $x_A$ of choosing an A particle for an adsorption trial reaches a critical value $0.626441(1)$, the A species percolates and/or the blocked sites X (those with at least one A and one B nearest neighbor) percolate. Analysis of the size-distribution exponent $τ$, the wrapping probabilities, and the excess cluster number shows that the percolation transition is consistent with that of ordinary percolation. We obtain an exact result for the low $x_B = 1 - x_A$ jamming behavior: $θ_A = 1 - x_B +b_2 x_B^2+\mathcal{O}(x_B^3)$, $θ_B = x_B/(z+1)+\mathcal{O}(x_B^2)$ for a $z$-coordinated lattice, where $θ_A$ and $θ_B$ are respectively the saturation coverages of species A and B. We also show how differences between wrapping probabilities of A and X clusters, as well as differences in the number of A and X clusters, can be used to find the transition point accurately. For the one-dimensional case a three-site approximation appears to provide exact results for the coverages.
