The Electrostatic Interaction Between Two Charged Surfaces with Mixed Boundary Conditions

✍ Scribed by Ming-Tsan Tseng; Jyh-Ping Hsu

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 169 KB
• Volume: 182
• Category: Article
• ISSN: 0021-9797
• DOI: 10.1006/jcis.1996.0507

✦ Synopsis

The electrostatic interaction between two parallel, planar charged surfaces with periodic mixed boundary conditions is analyzed. The Poisson-Boltzmann equation (PBE) governing the powhere C Å ef/kT, x Å kx ˜, y Å ky ˜, z Å kz ˜, and k 2 Å (e 2 ͚ i z 2 i n i 0 )/ tential distribution of the system under consideration is solved by (e r e 0 kT ). In these expressions, (x ˜, y ˜, z ˜) denotes the position of a point in the Fourier transformation method coupled with the convolution space, f is the electrostatic potential, k and e are, respectively, the Boltz- mann constant and the elementary charge, T is the absolute temperature, z i theory. The present approach provides an efficient way to solve a and n i 0 are, respectively, the valence and the concentration of the ith ion PBE with a general mixed boundary condition. On the basis of this species in the bulk liquid phase, and e r and e 0 are the relative permittivity approach, an analytical expression for the electrostatic interaction of solution and the permittivity of the vacuum, respectively. Here, C denotes energy is derived. In addition to its generality, the method prothe dimensionless electrostatic potential, and 1/k is the Debye length. For posed is very convenient for the description of the shift of the convenience, one of the two surfaces is placed at z Å 0L and the other at relative position of two surfaces.