论文标题
关于约束度渗透模型中关键时间的单调性
On the monotonicity of the critical time in the Constrained-degree percolation model
论文作者
论文摘要
在[B.N.B. De Lima，R。Sanchis，D.C。Dos Santos，V。Sidoravicius和R. Teodoro，Stoch。过程。应用。 （2020）]，证明该模型在平方晶格上具有非平凡的相变。 We study the Constrained-degree percolation model on the $d$-dimensional hypercubic lattice ($\mathbb{Z}^d$) and, via numerical simulations, found evidence that the critical time $t_{c}^{d}(k)$ is monotonous not increasing in the constrained $k$ if $d=3,4$, like it is when $d=2$.我们验证了最低的约束值$ k $，以便该系统表现出$ k = 3 $，并且相关性关键指数$ν$对于约束度渗透模型和普通的bernoulli渗透是相同的。
The Constrained-degree percolation model was introduced in [B.N.B. de Lima, R. Sanchis, D.C. dos Santos, V. Sidoravicius, and R. Teodoro, Stoch. Process. Appl. (2020)], where it was proven that this model has a non-trivial phase transition on a square lattice. We study the Constrained-degree percolation model on the $d$-dimensional hypercubic lattice ($\mathbb{Z}^d$) and, via numerical simulations, found evidence that the critical time $t_{c}^{d}(k)$ is monotonous not increasing in the constrained $k$ if $d=3,4$, like it is when $d=2$. We verify that the lowest constrained value $k$ such that the system exhibits a phase transition is $k=3$ and that the correlation critical exponent $ν$ for the Constrained-degree percolation model and ordinary Bernoulli percolation are the same.
