Effective forces between macroions in highly charged colloidal suspensions
Effective forces between macroions in highly charged colloidal suspensions
复制标题
高电荷胶体悬浮液中大离子之间的有效力
DOI：
10.1103/physreve.59.r2550
复制
发表时间：
1999
影响因子：
2.4
通讯作者：
M. Tokuyama
中科院分区：
文献类型：
--
作者：
M. Tokuyama
根据最近发展起来的具有库仑相互作用的布朗粒子电荷稳定胶体悬浮液的系统理论，证明了高电荷态胶体大离子间的有效作用力可表示为F ef(R)=k B TZ 2 L B2{Z 2exp[−(Z/q)1/2r/λD]−q2exp(−r/λD)}(r/r4)，其中λD=(4πn c q 2 L B)−1/2是德拜屏蔽长度，ZE是大离子的电荷，−QE是反离子的电荷，L B是Bjerrum长度，Nc是反离子的数密度。这支部队由两部分组成。第一部分是由于大离子之间的长程库仑相互作用而产生的，并且在大离子之间的短距离内是排斥的。第二部分是由于大离子和反离子之间的长程库仑相互作用而产生的对关联，在大范围的大范围内大范围的大范围内是吸引人的。这个力有望用来描述高带电胶体悬浮液中的有序化现象。
It is shown based on the systematic theory recently developed for charge-stabilized colloidal suspensions of interacting Brownian particles with Coulomb interactions that the effective force between highly charged colloidal macroions can be written as F eff (r)= k B TZ 2 l B 2 {Z 2 exp [−(Z/q) 1/2 r/λ D]− q 2 exp (− r/λ D)}(r/r 4), where λ D=(4 π n c q 2 l B)− 1/2 is the Debye screening length, Ze the charge of macroions,− qe the charge of counterions, l B the Bjerrum length, and n c the number density of counterions. This force consists of two parts. The first part results from the long-range, Coulomb interactions between macroions and is repulsive over a short range of distances between macroions. The second part results from the pair correlations due to the long-range, Coulomb interactions between macroions and counterions and is attractive over a broad range of distances between macroions. This force is expected to describe the ordering phenomena in highly charged colloidal suspensions.