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Full-Text Articles in Physical Sciences and Mathematics
Poisson Boltzmann Integral Equation In A Charged Capillary And Its Numerical Solutions, Yongxian Qian
Poisson Boltzmann Integral Equation In A Charged Capillary And Its Numerical Solutions, Yongxian Qian
Journal of Electrochemistry
The nonlinear Poisson Boltzmann integral equation (PBIE) governing electrostatic potential distribution in a charged capillary filled with symmetric electrolytes is derived from the same physical principles as used in deriving nonlinear Poisson Boltzmann differential equation, usually called PBE. PBIE is then numerically solved by iteration. In iterate computation discrele values of electrical potential is soly needed, and the first or higher orders of the differential of the potential is not used any more. This does essentially remove the difficulty caused by the very steep variation of the potential near the wall of the capillary. The results of the seven examples …
Statistical Mechanical Treatment For The Electrical Double Layer At Ities: Analysis Of Mvn Model, Jintian Wu, Shengpei Chen, Wenduan Su
Statistical Mechanical Treatment For The Electrical Double Layer At Ities: Analysis Of Mvn Model, Jintian Wu, Shengpei Chen, Wenduan Su
Journal of Electrochemistry
A statistical mechanical treatment for electrical double layer at the interface between two immiscible elecrolyte solution (ITIES) is presented by using grand canonical method based on the MVN model. For the MVN model, the ITIES was represented by that the two space charge regions are separated by an inner layer of the oriented solvent molecules. Assuming that the ions were allowed to penetrated into the solvent compact layer over some distance, then the grand canonical partition function of the inner layer at ITIES can be given. While the mean field approximation is employed to estimate the interactive potential energy of …