Relevant bibliographies by topics / Équations de Poisson-Nernst Planck / Journal articles

Journal articles on the topic 'Équations de Poisson-Nernst Planck'

To see the other types of publications on this topic, follow the link: Équations de Poisson-Nernst Planck.
Author: Grafiati
Published: 28 September 2024

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Équations de Poisson-Nernst Planck.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Zheng, Qiong, and Guo-Wei Wei. "Poisson–Boltzmann–Nernst–Planck model." Journal of Chemical Physics 134, no. 19 (May 21, 2011): 194101. http://dx.doi.org/10.1063/1.3581031.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Xie, Yan, Jie Cheng, Benzhuo Lu, and Linbo Zhang. "Parallel Adaptive Finite Element Algorithms for Solving the Coupled Electro-diffusion Equations." Computational and Mathematical Biophysics 1 (April 24, 2013): 90–108. http://dx.doi.org/10.2478/mlbmb-2013-0005.

Full text
Abstract:
Abstractrithms for solving the 3D electro-diffusion equations such as the Poisson-Nernst-Planck equations and the size-modified Poisson-Nernst-Planck equations in simulations of biomolecular systems in ionic liquid. A set of transformation methods based on the generalized Slotboom variables is used to solve the coupled equations. Calculations of the diffusion-reaction rate coefficients, electrostatic potential and ion concentrations for various systems verify the method’s validity and stability. The iterations between the Poisson equation and the Nernst- Planck equations in the primitive method and in the transformation method are compared to illustrate how the new method accelerates the convergence of the solution. To speed up the convergence, we introduce the DIIS (direct inversion of the iterative subspace) method including Simple Mixing and Anderson Mixing as under-relaxation techniques, the effectiveness of which on acceleration is shown by numerical tests. It is worth noting that the primitive method fails to solve the size-modified Poisson-Nernst-Planck equations for real protein systems but the transformation method succeeds in the simulations of the ACh-AChE reaction system and the DNA fragment. To improve the accuracy of the solution, we introduce high order elements and mesh adaptation based on an a posteriori error estimator. Numerical results indicate that our mesh adaptation process leads to quasi-optimal convergence. We implement our algorithms using the parallel adaptive finite element package PHG [53] and high parallel efficiency is obtained.
APA, Harvard, Vancouver, ISO, and other styles
3

Yang, Ying, and Benzhuo Lu. "An Error Analysis for the Finite Element Approximation to the Steady-State Poisson-Nernst-Planck Equations." Advances in Applied Mathematics and Mechanics 5, no. 1 (February 2013): 113–30. http://dx.doi.org/10.4208/aamm.11-m11184.

Full text
Abstract:
AbstractPoisson-Nernst-Planck equations are a coupled system of nonlinear partial differential equations consisting of the Nernst-Planck equation and the electrostatic Poisson equation with delta distribution sources, which describe the electrodiffusion of ions in a solvated biomolecular system. In this paper, some error bounds for a piecewise finite element approximation to this problem are derived. Several numerical examples including biomolecular problems are shown to support our analysis.
APA, Harvard, Vancouver, ISO, and other styles
4

Hineman, Jay L., and Rolf J. Ryham. "Very weak solutions for Poisson–Nernst–Planck system." Nonlinear Analysis: Theory, Methods & Applications 115 (March 2015): 12–24. http://dx.doi.org/10.1016/j.na.2014.11.018.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Eisenberg, Bob, Tzyy-Leng Horng, Tai-Chia Lin, and Chun Liu. "Steric PNP (Poisson-Nernst-Planck): Ions in Channels." Biophysical Journal 104, no. 2 (January 2013): 509a. http://dx.doi.org/10.1016/j.bpj.2012.11.2809.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

González Granada, José Rodrigo, and Victor A. Kovtunenko. "Entropy method for generalized Poisson–Nernst–Planck equations." Analysis and Mathematical Physics 8, no. 4 (November 2018): 603–19. http://dx.doi.org/10.1007/s13324-018-0257-1.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Prohl, Andreas, and Markus Schmuck. "Convergent discretizations for the Nernst–Planck–Poisson system." Numerische Mathematik 111, no. 4 (November 26, 2008): 591–630. http://dx.doi.org/10.1007/s00211-008-0194-2.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Kato, Masayuki. "Numerical analysis of the Nernst-Planck-Poisson system." Journal of Theoretical Biology 177, no. 3 (December 1995): 299–304. http://dx.doi.org/10.1006/jtbi.1995.0247.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Meng, Da, Bin Zheng, Guang Lin, and Maria L. Sushko. "Numerical Solution of 3D Poisson-Nernst-Planck Equations Coupled with Classical Density Functional Theory for Modeling Ion and Electron Transport in a Confined Environment." Communications in Computational Physics 16, no. 5 (November 2014): 1298–322. http://dx.doi.org/10.4208/cicp.040913.120514a.

Full text
Abstract:
AbstractWe have developed efficient numerical algorithms for solving 3D steady-state Poisson-Nernst-Planck (PNP) equations with excess chemical potentials described by the classical density functional theory (cDFT). The coupled PNP equations are discretized by a finite difference scheme and solved iteratively using the Gummel method with relaxation. The Nernst-Planck equations are transformed into Laplace equations through the Slotboom transformation. Then, the algebraic multigrid method is applied to efficiently solve the Poisson equation and the transformed Nernst-Planck equations. A novel strategy for calculating excess chemical potentials through fast Fourier transforms is proposed, which reduces computational complexity from O(N2) to O(NlogN), where N is the number of grid points. Integrals involving the Dirac delta function are evaluated directly by coordinate transformation, which yields more accurate results compared to applying numerical quadrature to an approximated delta function. Numerical results for ion and electron transport in solid electrolyte for lithiumion (Li-ion) batteries are shown to be in good agreement with the experimental data and the results from previous studies.
APA, Harvard, Vancouver, ISO, and other styles
10

Chaudhry, Jehanzeb Hameed, Jeffrey Comer, Aleksei Aksimentiev, and Luke N. Olson. "A Stabilized Finite Element Method for Modified Poisson-Nernst-Planck Equations to Determine Ion Flow Through a Nanopore." Communications in Computational Physics 15, no. 1 (January 2014): 93–125. http://dx.doi.org/10.4208/cicp.101112.100413a.

Full text
Abstract:
AbstractThe conventional Poisson-Nernst-Planck equations do not account for the finite size of ions explicitly. This leads to solutions featuring unrealistically high ionic concentrations in the regions subject to external potentials, in particular, near highly charged surfaces. A modified form of the Poisson-Nernst-Planck equations accounts for steric effects and results in solutions with finite ion concentrations. Here, we evaluate numerical methods for solving the modified Poisson-Nernst-Planck equations by modeling electric field-driven transport of ions through a nanopore. We describe a novel, robust finite element solver that combines the applications of the Newton’s method to the nonlinear Galerkin form of the equations, augmented with stabilization terms to appropriately handle the drift-diffusion processes.To make direct comparison with particle-based simulations possible, our method is specifically designed to produce solutions under periodic boundary conditions and to conserve the number of ions in the solution domain. We test our finite element solver on a set of challenging numerical experiments that include calculations of the ion distribution in a volume confined between two charged plates, calculations of the ionic current though a nanopore subject to an external electric field, and modeling the effect of a DNA molecule on the ion concentration and nanopore current.
APA, Harvard, Vancouver, ISO, and other styles
11

Hashemi Amrei, S. M. H., Gregory H. Miller, Kyle J. M. Bishop, and William D. Ristenpart. "A perturbation solution to the full Poisson–Nernst–Planck equations yields an asymmetric rectified electric field." Soft Matter 16, no. 30 (2020): 7052–62. http://dx.doi.org/10.1039/d0sm00417k.

Full text
APA, Harvard, Vancouver, ISO, and other styles
12

Ostilla-Mónico, Rodolfo, and Alpha A. Lee. "Controlling turbulent drag across electrolytes using electric fields." Faraday Discussions 199 (2017): 159–73. http://dx.doi.org/10.1039/c6fd00247a.

Full text
Abstract:
Reversible in operando control of friction is an unsolved challenge that is crucial to industrial tribology. Recent studies show that at low sliding velocities, this control can be achieved by applying an electric field across electrolyte lubricants. However, the phenomenology at high sliding velocities is yet unknown. In this paper, we investigate the hydrodynamic friction across electrolytes under shear beyond the transition to turbulence. We develop a novel, highly parallelised numerical method for solving the coupled Navier–Stokes Poisson–Nernst–Planck equation. Our results show that turbulent drag cannot be controlled across dilute electrolytes using static electric fields alone. The limitations of the Poisson–Nernst–Planck formalism hint at ways in which turbulent drag could be controlled using electric fields.
APA, Harvard, Vancouver, ISO, and other styles
13

Sun, Ning, and Dilip Gersappe. "Simulation of diffuse-charge capacitance in electric double layer capacitors." Modern Physics Letters B 31, no. 01 (January 10, 2017): 1650431. http://dx.doi.org/10.1142/s0217984916504315.

Full text
Abstract:
We use a Lattice Boltzmann Model (LBM) in order to simulate diffuse-charge dynamics in Electric Double Layer Capacitors (EDLCs). Simulations are carried out for both the charge and the discharge processes on 2D systems of complex random electrode geometries (pure random, random spheres and random fibers). The steric effect of concentrated solutions is considered by using a Modified Poisson–Nernst–Planck (MPNP) equations and compared with regular Poisson–Nernst–Planck (PNP) systems. The effects of electrode microstructures (electrode density, electrode filler morphology, filler size, etc.) on the net charge distribution and charge/discharge time are studied in detail. The influence of applied potential during discharging process is also discussed. Our studies show how electrode morphology can be used to tailor the properties of supercapacitors.
APA, Harvard, Vancouver, ISO, and other styles
14

Queralt-Martín, María, Carlos Peiró-González, Marcel Aguilella-Arzo, and Antonio Alcaraz. "Effects of extreme pH on ionic transport through protein nanopores: the role of ion diffusion and charge exclusion." Physical Chemistry Chemical Physics 18, no. 31 (2016): 21668–75. http://dx.doi.org/10.1039/c6cp04180a.

Full text
Abstract:
We combine electrophysiological experiments with the structure-based Poisson–Nernst–Planck 3D calculations to investigate the transport properties of the bacterial porin OmpF under large pH gradients and particularly low salt concentrations.
APA, Harvard, Vancouver, ISO, and other styles
15

Gwecho, Abidha Monica, Wang Shu, Onyango Thomas Mboya, and Sudheer Khan. "Solutions of Poisson-Nernst Planck Equations with Ion Interaction." Applied Mathematics 13, no. 03 (2022): 263–81. http://dx.doi.org/10.4236/am.2022.133020.

Full text
APA, Harvard, Vancouver, ISO, and other styles
16

Schönke, Johannes. "Unsteady analytical solutions to the Poisson–Nernst–Planck equations." Journal of Physics A: Mathematical and Theoretical 45, no. 45 (October 29, 2012): 455204. http://dx.doi.org/10.1088/1751-8113/45/45/455204.

Full text
APA, Harvard, Vancouver, ISO, and other styles
17

Filipek, Robert, Piotr Kalita, Lucjan Sapa, and Krzysztof Szyszkiewicz. "On local weak solutions to Nernst–Planck–Poisson system." Applicable Analysis 96, no. 13 (September 6, 2016): 2316–32. http://dx.doi.org/10.1080/00036811.2016.1221941.

Full text
APA, Harvard, Vancouver, ISO, and other styles
18

Golovnev, A., and S. Trimper. "Steady state solution of the Poisson–Nernst–Planck equations." Physics Letters A 374, no. 28 (June 2010): 2886–89. http://dx.doi.org/10.1016/j.physleta.2010.05.004.

Full text
APA, Harvard, Vancouver, ISO, and other styles
19

SCHMUCK, MARKUS. "ANALYSIS OF THE NAVIER–STOKES–NERNST–PLANCK–POISSON SYSTEM." Mathematical Models and Methods in Applied Sciences 19, no. 06 (June 2009): 993–1014. http://dx.doi.org/10.1142/s0218202509003693.

Full text
Abstract:
We study a fluid-dynamical model based on a coupled Navier–Stokes–Nernst–Planck–Poisson system. Of special interest are the fluid velocity, concentrations of charged particles ranging from colloidal to nano size and the induced quasi-electrostatic potential, which all depend on an externally applied electrical field. For d ≤ 3, we prove existence and in some cases uniqueness of weak solutions. Moreover, we characterize solutions via energy laws, mass conservation, non-negativity and pointwise bounds. Furthermore, the system enjoys an entropy law. Existence of locally strong solutions is verified.
APA, Harvard, Vancouver, ISO, and other styles
20

Gavish, Nir. "Poisson–Nernst–Planck equations with high-order steric effects." Physica D: Nonlinear Phenomena 411 (October 2020): 132536. http://dx.doi.org/10.1016/j.physd.2020.132536.

Full text
APA, Harvard, Vancouver, ISO, and other styles
21

Mathur, Sanjay R., and Jayathi Y. Murthy. "A multigrid method for the Poisson–Nernst–Planck equations." International Journal of Heat and Mass Transfer 52, no. 17-18 (August 2009): 4031–39. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.03.040.

Full text
APA, Harvard, Vancouver, ISO, and other styles
22

Frank, Florian, Nadja Ray, and Peter Knabner. "Numerical investigation of homogenized Stokes–Nernst–Planck–Poisson systems." Computing and Visualization in Science 14, no. 8 (December 2011): 385–400. http://dx.doi.org/10.1007/s00791-013-0189-0.

Full text
APA, Harvard, Vancouver, ISO, and other styles
23

Lin, Guojian. "A NOTE ON THE CLASSICAL POISSON-NERNST-PLANCK MODELS." Far East Journal of Applied Mathematics 95, no. 1 (September 6, 2016): 13–26. http://dx.doi.org/10.17654/am095010013.

Full text
APA, Harvard, Vancouver, ISO, and other styles
24

Ray, N., A. Muntean, and P. Knabner. "Rigorous homogenization of a Stokes–Nernst–Planck–Poisson system." Journal of Mathematical Analysis and Applications 390, no. 1 (June 2012): 374–93. http://dx.doi.org/10.1016/j.jmaa.2012.01.052.

Full text
APA, Harvard, Vancouver, ISO, and other styles
25

Zheng, Qiong, Duan Chen, and Guo-Wei Wei. "Second-order Poisson–Nernst–Planck solver for ion transport." Journal of Computational Physics 230, no. 13 (June 2011): 5239–62. http://dx.doi.org/10.1016/j.jcp.2011.03.020.

Full text
APA, Harvard, Vancouver, ISO, and other styles
26

Moya, A. A. "Theory of the formation of the electric double layer at the ion exchange membrane–solution interface." Physical Chemistry Chemical Physics 17, no. 7 (2015): 5207–18. http://dx.doi.org/10.1039/c4cp05702c.

Full text
Abstract:
The study of the formation of the electric double layer at the membrane–solution interface based on the Nernst–Planck and Poisson equations including different diffusion coefficient and dielectric constant values in the solution and membrane phases.
APA, Harvard, Vancouver, ISO, and other styles
27

Jasielec, Jerzy J. "Electrodiffusion Phenomena in Neuroscience and the Nernst–Planck–Poisson Equations." Electrochem 2, no. 2 (April 5, 2021): 197–215. http://dx.doi.org/10.3390/electrochem2020014.

Full text
Abstract:
This work is aimed to give an electrochemical insight into the ionic transport phenomena in the cellular environment of organized brain tissue. The Nernst–Planck–Poisson (NPP) model is presented, and its applications in the description of electrodiffusion phenomena relevant in nanoscale neurophysiology are reviewed. These phenomena include: the signal propagation in neurons, the liquid junction potential in extracellular space, electrochemical transport in ion channels, the electrical potential distortions invisible to patch-clamp technique, and calcium transport through mitochondrial membrane. The limitations, as well as the extensions of the NPP model that allow us to overcome these limitations, are also discussed.
APA, Harvard, Vancouver, ISO, and other styles
28

Bedin, L., and Mark Thompson. "Existence theory for a Poisson-Nernst-Planck model of electrophoresis." Communications on Pure and Applied Analysis 12, no. 1 (September 2012): 157–206. http://dx.doi.org/10.3934/cpaa.2013.12.157.

Full text
APA, Harvard, Vancouver, ISO, and other styles
29

Nanninga, Paul Marlon. "A computational neuron model based on Poisson-Nernst-Planck theory." ANZIAM Journal 49 (September 21, 2008): 46. http://dx.doi.org/10.21914/anziamj.v50i0.1390.

Full text
APA, Harvard, Vancouver, ISO, and other styles
30

Shi, Xiangyu, and Linzhang Lu. "Nonconforming finite element method for coupled Poisson–Nernst–Planck equations." Numerical Methods for Partial Differential Equations 37, no. 3 (January 21, 2021): 2714–29. http://dx.doi.org/10.1002/num.22764.

Full text
APA, Harvard, Vancouver, ISO, and other styles
31

Kinderlehrer, David, Léonard Monsaingeon, and Xiang Xu. "A Wasserstein gradient flow approach to Poisson−Nernst−Planck equations." ESAIM: Control, Optimisation and Calculus of Variations 23, no. 1 (October 10, 2016): 137–64. http://dx.doi.org/10.1051/cocv/2015043.

Full text
APA, Harvard, Vancouver, ISO, and other styles
32

Liu, Jinn-Liang, and Bob Eisenberg. "Poisson-Nernst-Planck-Fermi theory for modeling biological ion channels." Journal of Chemical Physics 141, no. 22 (December 14, 2014): 22D532. http://dx.doi.org/10.1063/1.4902973.

Full text
APA, Harvard, Vancouver, ISO, and other styles
33

Lenzi, E. K., L. R. Evangelista, L. Taghizadeh, D. Pasterk, R. S. Zola, T. Sandev, C. Heitzinger, and I. Petreska. "Reliability of Poisson–Nernst–Planck Anomalous Models for Impedance Spectroscopy." Journal of Physical Chemistry B 123, no. 37 (August 12, 2019): 7885–92. http://dx.doi.org/10.1021/acs.jpcb.9b06263.

Full text
APA, Harvard, Vancouver, ISO, and other styles
34

Liu, Weishi, and Bixiang Wang. "Poisson–Nernst–Planck Systems for Narrow Tubular-Like Membrane Channels." Journal of Dynamics and Differential Equations 22, no. 3 (August 10, 2010): 413–37. http://dx.doi.org/10.1007/s10884-010-9186-x.

Full text
APA, Harvard, Vancouver, ISO, and other styles
35

Flavell, Allen, Michael Machen, Bob Eisenberg, Julienne Kabre, Chun Liu, and Xiaofan Li. "A conservative finite difference scheme for Poisson–Nernst–Planck equations." Journal of Computational Electronics 13, no. 1 (September 25, 2013): 235–49. http://dx.doi.org/10.1007/s10825-013-0506-3.

Full text
APA, Harvard, Vancouver, ISO, and other styles
36

Flavell, Allen, Julienne Kabre, and Xiaofan Li. "An energy-preserving discretization for the Poisson–Nernst–Planck equations." Journal of Computational Electronics 16, no. 2 (March 6, 2017): 431–41. http://dx.doi.org/10.1007/s10825-017-0969-8.

Full text
APA, Harvard, Vancouver, ISO, and other styles
37

Eisenberg, Bob, and Weishi Liu. "Poisson–Nernst–Planck Systems for Ion Channels with Permanent Charges." SIAM Journal on Mathematical Analysis 38, no. 6 (January 2007): 1932–66. http://dx.doi.org/10.1137/060657480.

Full text
APA, Harvard, Vancouver, ISO, and other styles
38

Horng, Tzyy-Leng, Ping-Hsuan Tsai, and Tai-Chia Lin. "Modification of Bikerman model with specific ion sizes." Computational and Mathematical Biophysics 5, no. 1 (December 20, 2017): 142–49. http://dx.doi.org/10.1515/mlbmb-2017-0010.

Full text
Abstract:
Abstract Classical Poisson-Boltzman and Poisson-Nernst-Planck models can only work when ion concentrations are very dilute, which often mismatches experiments. Researchers have been working on the modification to include finite-size effect of ions, which is non-negelible when ion concentrations are not dilute. One of modified models with steric effect is Bikerman model, which is rather popular nowadays. It is based on the consideration of ion size by putting additional entropy term for solvent in free energy. However, ion size is non-specific in original Bikerman model, which did not consider specific ion sizes. Many researchers have worked on the extension of Bikerman model to have specific ion sizes. A direct extension of original Bikerman model by simply replacing the non-specific ion size to specific ones seems natural and has been acceptable to many researchers in this field.Herewe prove this straight forward extension, in some limiting situations, fails to uphold the basic requirement that ion occupation sites must be identical. This requirement is necessary when computing entropy via particle distribution on occupation sites.We derived a new modified Bikerman model for using specific ion sizes by fixing this problem, and obtained its modified Poisson-Boltzmann and Poisson-Nernst-Planck equations.
APA, Harvard, Vancouver, ISO, and other styles
39

Mádai, Eszter, Bartłomiej Matejczyk, András Dallos, Mónika Valiskó, and Dezső Boda. "Controlling ion transport through nanopores: modeling transistor behavior." Physical Chemistry Chemical Physics 20, no. 37 (2018): 24156–67. http://dx.doi.org/10.1039/c8cp03918f.

Full text
Abstract:
We present a modeling study of a nanopore-based transistor computed by a mean-field continuum theory (Poisson–Nernst–Planck, PNP) and a hybrid method including particle simulation (Local Equilibrium Monte Carlo, LEMC) that is able to take ionic correlations into account including the finite size of ions.
APA, Harvard, Vancouver, ISO, and other styles
40

null, null. "Some Random Batch Particle Methods for the Poisson-Nernst-Planck and Poisson-Boltzmann Equations." Communications in Computational Physics 32, no. 1 (June 2022): 41–82. http://dx.doi.org/10.4208/cicp.oa-2021-0159.

Full text
APA, Harvard, Vancouver, ISO, and other styles
41

Corry, Ben, Serdar Kuyucak, and Shin-Ho Chung. "Dielectric Self-Energy in Poisson-Boltzmann and Poisson-Nernst-Planck Models of Ion Channels." Biophysical Journal 84, no. 6 (June 2003): 3594–606. http://dx.doi.org/10.1016/s0006-3495(03)75091-7.

Full text
APA, Harvard, Vancouver, ISO, and other styles
42

Filipek, Robert, Krzysztof Szyszkiewicz, Bogusław Bożek, Marek Danielewski, and A. Lewenstam. "Diffusion Transport in Electrochemical Systems: A New Approach to Determining of the Membrane Potential at Steady State." Defect and Diffusion Forum 283-286 (March 2009): 487–93. http://dx.doi.org/10.4028/www.scientific.net/ddf.283-286.487.

Full text
Abstract:
Ionic concentrations and electric field space profiles in one dimensional membrane are described using Nernst-Planck-Poisson (NPP) equations. The usual assumptions for the steady state NPP problem requires knowledge of the boundary values of the concentrations and electrical potential difference. In analytical chemistry the potential difference may not be known and its theoretical prediction from the model is desirable. The effective methods of the solution to the NPP equations are presented. The Poisson equation is solved without widely used simplifications such as the constant field or the electroneutrality assumptions. The first method uses a steady state formulation of NPP problem. The original system of ODEs is turned into the system of non-linear algebraic equations with unknowns fluxes of the components and electrical potential difference. The second method uses the time-dependent form of the Nernst-Planck-Poisson equations. Steady-state solution has been obtained by starting from an initial profiles, and letting the numerical system evolve until a stationary solution is reached. The methods have been tested for different electrochemical systems: liquid junction and ion selective electrodes (ISEs). The results for the liquid junction case have been also verified with the approximate solutions leading to a good agreement. Comparison with the experimental results for ISEs has been carried out.
APA, Harvard, Vancouver, ISO, and other styles
43

Zhao, Jihong, Chao Deng, and Shangbin Cui. "Global Existence and Asymptotic Behavior of Self-Similar Solutions for the Navier-Stokes-Nernst-Planck-Poisson System in." International Journal of Differential Equations 2011 (2011): 1–19. http://dx.doi.org/10.1155/2011/329014.

Full text
Abstract:
We study the Navier-Stokes-Nernst-Planck-Poisson system modeling the flow of electrohydrodynamics. For small initial data, the global existence, uniqueness, and asymptotic stability as time goes to infinity of self-similar solutions to the Cauchy problem of this system posed in the whole three dimensional space are proved in the function spaces of pseudomeasure type.
APA, Harvard, Vancouver, ISO, and other styles
44

Bożek, Bogusław, H. Leszczyński, Katarzyna Tkacz-Śmiech, and Marek Danielewski. "Electrochemistry of Symmetrical Ion Channel: Three-Dimensional Nernst-Planck-Poisson Model." Defect and Diffusion Forum 363 (May 2015): 68–78. http://dx.doi.org/10.4028/www.scientific.net/ddf.363.68.

Full text
Abstract:
The paper provides a physical description of ionic transport through the rigid symmetrical channel. A three-dimensional mathematical model, in which the ionic transport is treated as the electrodiffusion of ions, is presented. The model bases on the solution of the 3D Nernst-Planck-Poisson system for cylindrical geometry. The total flux includes drift (convection) and diffusion terms. It allows simulating the transport characteristics at the steady-state and time evolution of the system. The numerical solutions of the coupled differential diffusion equation system are obtained by finite element method. Examples are presented in which the flow characteristics at the stationary state and during time evolution are compared. It is shown that the stationary state is achieved after about 2×10 -8 s since the process beginning. Various initial conditions (channel charging and dimensions) are considered as the key parameters controlling the selectivity of the channel. The model allows determining the flow characteristic, calculating the local concentration and potential across the channel. The model can be extended to simulate transport in polymer membranes and nanopores which might be useful in designing biosensors and nanodevices.
APA, Harvard, Vancouver, ISO, and other styles
45

Liu, Hailiang, Zhongming Wang, Peimeng Yin, and Hui Yu. "Positivity-preserving third order DG schemes for Poisson–Nernst–Planck equations." Journal of Computational Physics 452 (March 2022): 110777. http://dx.doi.org/10.1016/j.jcp.2021.110777.

Full text
APA, Harvard, Vancouver, ISO, and other styles
46

Ma, Manman, Zhenli Xu, and Liwei Zhang. "Modified Poisson--Nernst--Planck Model with Coulomb and Hard-sphere Correlations." SIAM Journal on Applied Mathematics 81, no. 4 (January 2021): 1645–67. http://dx.doi.org/10.1137/19m1310098.

Full text
APA, Harvard, Vancouver, ISO, and other styles
47

Delavari, Najmeh, Klas Tybrandt, Magnus Berggren, Benoît Piro, Vincent Noël, Giorgio Mattana, and Igor Zozoulenko. "Nernst–Planck–Poisson analysis of electrolyte-gated organic field-effect transistors." Journal of Physics D: Applied Physics 54, no. 41 (July 29, 2021): 415101. http://dx.doi.org/10.1088/1361-6463/ac14f3.

Full text
APA, Harvard, Vancouver, ISO, and other styles
48

Burger, M., B. Schlake, and M.-T. Wolfram. "Nonlinear Poisson–Nernst–Planck equations for ion flux through confined geometries." Nonlinearity 25, no. 4 (March 6, 2012): 961–90. http://dx.doi.org/10.1088/0951-7715/25/4/961.

Full text
APA, Harvard, Vancouver, ISO, and other styles
49

Gao, Huadong, and Dongdong He. "Linearized Conservative Finite Element Methods for the Nernst–Planck–Poisson Equations." Journal of Scientific Computing 72, no. 3 (February 28, 2017): 1269–89. http://dx.doi.org/10.1007/s10915-017-0400-4.

Full text
APA, Harvard, Vancouver, ISO, and other styles
50

Shobukhov, Andrey V., and Dmitry S. Maximov. "Exact steady state solutions in symmetrical Nernst–Planck–Poisson electrodiffusive models." Journal of Mathematical Chemistry 52, no. 5 (February 2, 2014): 1338–49. http://dx.doi.org/10.1007/s10910-014-0313-5.

Full text
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the bibliographies on the topic 'Équations de Poisson-Nernst Planck' for other source types:
Dissertations / Theses
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography