𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Network Simulation Method for Numerical Solution of the Nonlinear Poisson–Boltzmann Equation for a Spheroidal Surface

✍ Scribed by A.J Poza; J.J López-Garcı́a; A Hayas; J Horno

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
122 KB
Volume
219
Category
Article
ISSN
0021-9797

No coin nor oath required. For personal study only.

✦ Synopsis

The network approach has been applied to derive the electrostatic potential distribution for a spheroidal colloid particle immersed in electrolyte solutions. A network model for the nonlinear Poisson-Boltzmann equation in curvilinear coordinates has been proposed. With this model and an electrical circuit simulation program, any quantity characteristic of the diffuse double layer of a spheroidal particle can be easily obtained for arbitrary values of the parameters that characterize the shape of the spheroid, surface potentials, and ionic concentrations and valencies. The method proves to be quite general, extremely efficient, and applicable to a great variety of double-layer compositions.

📜 SIMILAR VOLUMES

Solution to the Linearized Poisson–Boltz
Solution to the Linearized Poisson–Boltzmann Equation for a Spheroidal Surface under a General Surface Condition
✍ Jyh-Ping Hsu; Bo-Tau Liu 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 279 KB

cylinders, and spheres. Although the mathematical treatment The Poisson-Boltzmann equation describing the electrical pobecomes much simpler, using these one-dimensional simulatential distribution around a charged spheroidal surface in an tions can be unrealistic for a wide class of dispersed entitie

Accuracy Assessment of Numerical Solutio
Accuracy Assessment of Numerical Solutions of the Nonlinear Poisson–Boltzmann Equation for Charged Colloidal Particles
✍ Yongxian Qian; W.Richard Bowen 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 156 KB

result (2) for a charged spherical particle and Hoskin's result A method is proposed to evaluate the accuracy of numerical (5) for two identically charged spherical particles. However, solutions of the nonlinear Poisson -Boltzmann equation for one cannot ensure that the new method is also of the sam

Solution of the Nonlinear Poisson–Boltzm
Solution of the Nonlinear Poisson–Boltzmann Equation Using Pseudo-transient Continuation and the Finite Element Method
✍ A.I. Shestakov; J.L. Milovich; A. Noy 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 256 KB

The nonlinear Poisson-Boltzmann (PB) equation is solved using Newton-Krylov iterations coupled with pseudo-transient continuation. The PB potential is used to compute the electrostatic energy and evaluate the force on a user-specified contour. The PB solver is embedded in a existing, 3D, massively p

A Numerical Method for Solution of the G
A Numerical Method for Solution of the Generalized Liouville Equation
✍ J. Candy 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 354 KB

dq N dp N ϭ const, (3a) A numerical method for the time evolution of systems described by Liouville-type equations is derived. The algorithm uses a lattice of numerical markers, which follow exactly Hamiltonian trajectories, to represent the operator d/dt in moving (i.e., Lagrangian) coordinates. H