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  4. Exact solution to linearized Poisson-Boltzmann equation: Ion-penetrable membranes bearing nonuniformly distributed fixed charges
 
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Exact solution to linearized Poisson-Boltzmann equation: Ion-penetrable membranes bearing nonuniformly distributed fixed charges

Journal
The Journal of Chemical Physics
Journal Volume
102
Journal Issue
4
Pages
1806-1815
Date Issued
1995
Author(s)
Kuo Y.-C.
Hsu J.-P.  
DOI
10.1063/1.468708
URI
https://scholars.lib.ntu.edu.tw/handle/123456789/409430
URL
https://www.scopus.com/inward/record.uri?eid=2-s2.0-0011196352&doi=10.1063%2f1.468708&partnerID=40&md5=2df867211f9c1426ed16cd0c95ce010d
Abstract
The Poisson-Boltzmann equation governing the electrostatic potential distribution of an ion-penetrable particle immersed in an arbitrary a:b electrolyte solution is discussed. The particle, which mimics biological cells and some artificial membranes, carries nonuniformly distributed fixed charges. Three types of particle, including planar, cylindrical, and spherical, and two classes of nonuniform fixed charge distributions are investigated. These distributions all yield the same amount of fixed charges in the membrane phase, which is independent of the geometry of a particle. Under the condition that the potential is low, the exact distribution of the electrostatic potential and the free energy of the system under consideration are derived. ? 1995 American Institute of Physics.
Type
journal article

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