Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 5 of 5 for “"poisson-nernst-planck equations"”.
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A study of electrochemical transport and diffuse charge dynamics using a Langevin equation
… have included continuum models based on the Poisson-Nernst-Planck equations and atomic simulations using molecular dynamics algorithms. Neither of them is easy to use or conducive to electrokinetic transport modeling in strong confinement or over long time scales. This work introduces a new …
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A study of electrochemical transport and diffuse charge dynamics in nanoscale devices using a Langevin equation
… have included continuum models based on the Poisson-Nernst-Planck equations and atomic simulations using molecular dynamics algorithms. Neither of them is easy to use or conducive to electrokinetic transport modeling in strong confinement or over long time scales. This work introduces a new …
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Finite element methods for implicit solvent models
… and are thus computationally efficient. The Poisson-Boltzmann equation (PBE) is one important example. We design a FEM for the linear PBE by directly exposing the flux through a first-order system. We propose a system that yields a tractable least-squares finite element formulation and …
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Nonlinear electrokinetics of the bacterial cell envelope for applications in biomicrofluidics
… appendage (soft layer) properties. Using the Poisson-Nernst-Planck equations for ion transport and Stokes equation for fluid flow, we model the electric double layer polarization within and outside the soft layers to calculate the polarizability for these two strains. Firstly, we demonstrate …
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Computational analyses on the structure-function relation in ion channels
… is analyzed, by an approach based on the Poisson-Nernst-Planck electrodiffusion theory. In the electrodiffusion theory ion conduction is modeled by the drift-diffusion equations, thus describing the ion distributions by continuum functions. The numerical solver of the Poisson- …