非理想气体的逾渗性质
Percolation properties of non-ideal gas
摘要：
我们估计的渗透和非渗透在平面$(λ,β)$的区域的位置：泊松率-逆温度，相互作用的粒子系统在有限维欧氏空间。在不同的假设条件下得到了关于渗流和非渗流的结果。两组假设的交集将结果简化为二维欧几里德空间$\R^2$和具有硬核的相互作用的势函数。渗流证明的技术是基于轮廓法，这是适用于离散化的欧几里德空间。非渗流证明的技术是基于吉布斯场与分支过程的耦合。
英文摘要：
We estimate locations of the regions of the percolation and of the non-percolation in the plane $(λ,β)$: the Poisson rate -- the inverse temperature, for interacted particle systems in finite dimension Euclidean spaces. Our results about the percolation and about the non-percolation are obtained under different assumptions. The intersection of two groups of the assumptions reduces the results to two dimension Euclidean space, $\R^2$, and to a potential function of the interactions having a hard core. The technics for the percolation proof is based on a contour method which is applied to a discretization of the Euclidean space. The technics for the non-percolation proof is based on the coupling of the Gibbs field with a branching process.
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