【摘 要】
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The mean-field theory is the simplest theory taking into account particle interactions.Its simplicity comes at the price of the neglect of correlations.Desp
【机 构】
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InstituteforAdvancedStudy,ShenzhenUniversity,China
【出 处】
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数学生物物理及分子生物学研讨会(The Mathematical Biophysics and Molecular Bi
论文部分内容阅读
The mean-field theory is the simplest theory taking into account particle interactions.Its simplicity comes at the price of the neglect of correlations.Despite this neglect,the mean-field proves to be a useful and accurate tool for many situations.Among the classical systems,electrolytes are the most representative example,where the mean-field formulation yields the Poisson-Boltzmann equation.In recent years there has been a growing effort to go beyond the mean-field description since the neglect of correlations may not always be justified.An extreme example is the strong-coupling limit and the counter-intuitive attraction between the same-charged objects.However,even within the weak-coupling limit the correlational contributions can be important.By way of a simple example lets take neutral surfaces.The mean-field theory yields a flat density profile,but the inclusion of correlations imparts a structure to that profile.In narrow channels this structure my be significant.
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