Nano Science and Technology Institute
Nanotech 2001 Vol. 1
Nanotech 2001 Vol. 1
Technical Proceedings of the 2001 International Conference on Modeling and Simulation of Microsystems
 
Chapter 3: Compact Modeling and Model Order Reduction
 

Using Pseudo Transient Continuation and the Finite Element Method to Solve the Nonlinear Poisson-Boltzmann Equation

Authors:A.I. Shestakov, J.L. Milovich and A. Noy
Affilation:Lawrence Livermore National Laboratory, US
Pages:39 - 43
Keywords:Poisson-Boltzmann, chemical force microscopy, pseudo transient continuation, finite elements
Abstract:The nonlinear Poisson-Boltzmann (PB) eequation is solved using Pseudo Transient Continuation. The PB solver is constructed by modifying the nonlinear diffusion modeule of a 3D, massively parallel, unstructured grid, finite element, radiation-hydrodynamics code. The solver also computes the electrostatic energy and evaluates the force on a user-specified contour. Either Dirichlet or mixed boundary conditions are allowed. The latter specifies surface charges, approximates far-field conditions, or lineariezes conditions 'regulating' the surface charge. The code may be run in either Cartesian, cylindrical, or spherical coordinates. THe potential and force due to a conical probe interacting with a flat plate is computed and the result compared with direct force measurements by chemical force microscopy.
Using Pseudo Transient Continuation and the Finite Element Method to Solve the Nonlinear Poisson-Boltzmann EquationView PDF of paper
ISBN:0-9708275-0-4
Pages:638
Up
© 2014 Nano Science and Technology Institute. All Rights Reserved.
Terms of Use | Privacy Policy | Contact Us | Site Map