A brief review of continuous models for ionic solutions: the Poisson–Boltzmann and related theories  

作　　者：Mao Su Yanting Wang 苏茂;王延颋(CAS Key Laboratory of Theoretical Physics,Institute of Theoretical Physics,Chinese Academy of Sciences,55 East Zhongguancun Road,PO Box 2735,Beijing 100190,China;School of Physical Sciences,University of Chinese Academy of Sciences,19A Yuquan Road,Beijing 100049,China)

机构地区：[1]CAS Key Laboratory of Theoretical Physics,Institute of Theoretical Physics,Chinese Academy of Sciences,55 East Zhongguancun Road,PO Box 2735,Beijing 100190,China [2]School of Physical Sciences,University of Chinese Academy of Sciences,19A Yuquan Road,Beijing 100049,China

出　　处：《Communications in Theoretical Physics》2020年第6期136-145,共10页理论物理通讯（英文版）

基　　金：supported by the Strategic Priority Research Program of Chinese Academy of Sciences(Grant No.XDA17010504);the National Natural Science Foundation of China(Nos.11774357 and 11947302);the CAS Biophysics Interdisciplinary Innovation Team Project(No.2060299)。

摘　　要：The Poisson–Boltzmann(PB)theory is one of the most important theoretical models describing charged systems continuously.However,it suffers from neglecting ion correlations,which hinders its applicability to more general charged systems other than extremely dilute ones.Therefore,some modified versions of the PB theory are developed to effectively include ion correlations.Focused on their applications to ionic solutions,the original PB theory and its variances,including the field-theoretic approach,the correlation-enhanced PB model,the Outhwaite–Bhuiyan modified PB theory and the mean field theories,are briefly reviewed in this paper with the diagnosis of their advantages and limitations.

关 键 词：Poisson–Boltzmann theory ion correlation ionic solution field-theoretic approach mean field theory 

分 类 号：O441.1[理学—电磁学]