离子液体中的Lebowitz长度

Investigation of correlation lengths in ionic fluid

利用超网链 (HNC :thehypernettedchain)积分方程计算了简单离子液体的直接关联函数C(r ;T ,ρ)和总关联函数h(r;T ,ρ) .由这些关联函数可以研究离子液体的Lebowit长度 .把计算的数值结果与S .Belciranov和M .E .Fisher(BF)的解析结果相比较 ,发现解析结果只在密度很小( ρ i ～ 10 -3 ,ρ i 是第i种离子的约化密度 )时与数值结果符合很好 ,当密度较大时解析结果就有了很大的偏差 ,而且通过 ξL 的发散看到在密度很小时系统中会形成大的中性簇 .

Using the hypernetted chain (HNC) integral equations, we calculated the direct correlation function C(r;T,ρ) and the total correlation function h(r;T,ρ) in a simple ionic fluid. With the correlation functions we calculate the Lebowitz length. Comparing our results with the analytical results of S.Belciranov and M.E.Fisher(BF), we see that compared with the numerical results their results are applicable in very low density (ρ* i～10 -3,ρ* i means the reduced density of specie i) and the information of forming of large neutral clusters.