Authors: Rajib Chakraborty
The Poisson-Boltzmann equation (PBE) gives us very simple formula for charge density distribution $(\rho_e)$ within ionic solutions. PBE is widely solved by specifying values to electrostatic potential ($\psi$) at different boundaries; this type of boundary condition (BC) is known as Dirichlet condition (DC). Here we show that DC cannot be used to solve the PBE, because it leads to unphysical consequences. For example, when we change the reference for $\psi$, the functional forms of $\psi$ and $\rho_e$ change in non-trivial ways i.e. it changes the physics, which is not acceptable. Our result should have far reaching effects on many branches of physical, chemical and biological sciences.
Comments: 2 Pages.
[v1] 2017-02-09 11:33:29
Unique-IP document downloads: 15 times
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.