Study on Interaction Between Two Parallel Plates with Iteration Method in Functional Theory

利用泛函分析理论中的迭代法，分别计算了平行平板双电层在高、中、低电位下的相互作用能，并以数值法所得结果为参照，在各电位下分别与Debye-Hückel线性近似法、Langmuir近似法所得的结果进行比较．结果表明，DH线性近似法和Langmuir近似法均只能分别局限于极低或极高电位，而泛函迭代法不但有简单的解析表达式，而且在各种电位下都能得到较满意的结果.

Study on Interaction Between Two Parallel Plates with Iteration Method in Functional Theory

By introducing the functional theory into the calculation of electric double layer (EDL) interaction, the interaction energies of two parallel plates were calculated respectively at low, moderate, and high potentials. Compared with the results of two existing methods, Debye-H?uckel and Langmuir methods, which are applicable just to the critical potentials and perform poorly in the intermediate potential, the functional approach not only has much simpler expression of the EDL interaction energy, but also performs well in the entire range of potentials.