泛函数法研究两等同球型双电层间的相互作用  

Functional theory of determining the force and free energy of EDL interaction between two identical spherical colloidal particles

作　　者：徐祖民[1,2,3] 王正武[2] 张革新 周明[2] 

机构地区：[1]江南大学化学与材料工程学院,无锡214122 [2]上海交通大学农业与生物学院食品科学与工程系,上海200240 [3]贵州师范大学兴义学院,兴义562400

出　　处：《科学通报》2009年第5期585-589,共5页Chinese Science Bulletin

基　　金：国家自然科学基金项目(批准号:20573048,20676051);上海市科学技术委员会项目(批准号:08DZ0505000,0852nm06200,07DZ19508,07DZ05019)资助

摘　　要：由泛函数法得到的球状双电层电位迭代解,结合线性叠加法(LSA),得到两等同球型双电层间的相互作用力及相互作用能.并将所得表达式与数值法和Debye-Hückel近似结果进行了比较.结果表明,Debye-Hückel(DH)近似方法仅在极低的表面电位下与数值法一致,而泛函数法对高、中、低电位均有一定程度的适应能力,即使在ψ=0.2056V的高表面电位下也能与数值法较好地吻合.Following the integral method of linear superposition approximation （LSA） and the iterative solutions in functional theory of the nonlinear Poisson-Boltzmann （PB） equation, simple but accurate analytic formulas are developed in functional treatment for the interaction force as well as the interaction energy of the electrical double-layer （EDL） of two identical spherical particles. The corresponding results are compared with those from Debye-Huckel （DH） linear approach and Hoskin-Levine （HL） numerical computation, respectively, at a lower surface potential ψ= 0.1028 V and a higher one ψ= 0.2056 V. The results show that the functional treatment is very close to the numerical computation for the strong interaction, i.e., with a higher potential and a shorter particle separation, with DH approach being invalid, that is superior to DH approach even for the weak interaction with a lower potential and a longer separation in the scope of DH approach valid.

关 键 词：线性迭加原理 泛函理论 等同球颗粒 相互作用 

分 类 号：O441.1[理学—电磁学] TP391.1[理学—物理]