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An Algorithm Based on a Cable-Nernst Planck Model Predicting Synaptic Activity throughout the Dendritic Arbor with Micron Specificity
Recent technological advances have enabled the recording of neurons in intact circuits with a high spatial and temporal resolution, creating the...
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The Membrane Potential Has a Primary Key Equation
It is common to say that the origin of the membrane potential is attributed to transmembrane ion transport, but it is theoretically possible to...
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Delay of reaching the Nernst equilibrium by ac-impedance
The delay of a diffusion-controlled faradaic reaction was revisited by ac-impedance in the light of the ambiguous concept of the conventionally...
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On the Well-Posedness and Decay Rates of Solutions to the Poisson–Nernst–Planck–Navier–Stokes System
We consider the initial value problem associated to the Poisson–Nernst–Planck–Navier–Stokes system which is first derived by Wang et al. (J Differ...
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Global Smooth Solutions of the Nernst–Planck–Darcy System
The Nernst–Planck–Darcy system models ionic electrodiffusion in porous media. We consider the system for two ionic species with opposite valences and...
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The Time Decay Rates of the Classical Solution to the Poisson-Nernst-Planck-Fourier Equations in ℝ3
In this work, the Poisson-Nernst-Planck-Fourier system in three dimensions is considered. For when the initial data regards a small perturbation...
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Nonequilibrium molecular dynamics for accelerated computation of ion–ion correlated conductivity beyond Nernst–Einstein limitation
Condensed matters with high ionic conductivities are crucial in various solid devices such as solid-state batteries. The conduction is characterized...
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Dielectric spectroscopy investigation of relaxation processes in the low-frequency regime and validity of the Stokes–Einstein–Nernst/Stokes–Einstein–Debye relation in poly(propylene glycol)
Relaxation processes over the static permittivity frequency region present in poly(propylene glycol) [PPG] of average molecular weights M n = 425 and...
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A Second Order Accurate, Positivity Preserving Numerical Method for the Poisson–Nernst–Planck System and Its Convergence Analysis
A second order accurate (in time) numerical scheme is proposed and analyzed for the Poisson–Nernst–Planck equation (PNP) system, reformulated as a...
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On the Space Analyticity of the Nernst–Planck–Navier–Stokes system
We consider the forced Nernst–Planck–Navier–Stokes system for n ionic species with different diffusivities and valences. We prove the local existence...
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Geometric Singular Perturbation Approach to Poisson-Nernst-Planck Systems with Local Hard-Sphere Potential: Studies on Zero-Current Ionic Flows with Boundary Layers
We examine the dynamics of zero-current ionic flows via Poisson-Nernst-Planck systems with one cation, one anion and boundary layers. To account...
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Usanovich and Nernst colliding: inconsistencies in the all-in-one acid–base concept?
Among the many acid-base concepts, the theory of Usanovich is one of the least known despite the most general scope including almost all chemical...
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Finite Volumes for a Generalized Poisson-Nernst-Planck System with Cross-Diffusion and Size Exclusion
We present two finite volume approaches for modeling the diffusion of charged particles, specifically ions, in constrained geometries using a...
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Global Smooth Solution for Navier–Stokes/Poisson–Nernst–Planck System in \({\mathbb {R}}^{2}\)
In this paper, we show global smoothness of solutions to the Navier–Stokes/Poisson–Nernst–Planck system for the transport and diffusion of ions in...
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Mixed Finite Element Method for Modified Poisson–Nernst–Planck/Navier–Stokes Equations
In this paper, a complete mixed finite element method is developed for a modified Poisson–Nernst–Planck/Navier–Stokes (PNP/NS) coupling system, where...
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Unconditionally positivity preserving and energy dissipative schemes for Poisson–Nernst–Planck equations
We develop a set of numerical schemes for the Poisson–Nernst–Planck equations. We prove that our schemes are mass conservative, uniquely solvable and...
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Transverse Nernst–Ettingshausen Effect in the Two–Dimensional Electron Gas of a Doubly Periodic Semiconductor Superlattice
AbstractIn the single-electron approximation, in an external magnetic field with a temperature gradient, the surface current density of charge...
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Nernst–Planck–Navier–Stokes Systems far from Equilibrium
We consider ionic electrodiffusion in fluids, described by the Nernst–Planck–Navier–Stokes system. We prove that the system has global smooth...
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Interior Electroneutrality in Nernst–Planck–Navier–Stokes Systems
We consider the limit of vanishing Debye length for ionic diffusion in fluids, described by the Nernst–Planck–Navier–Stokes system. In the...