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Integral equation method for the 1D steady-state Poisson-Nernst-Planck equations
An integral equation method is presented for the 1D steady-state Poisson-Nernst-Planck equations modeling ion transport through membrane channels....
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Breather, lump, M-shape and other interaction for the Poisson–Nernst–Planck equation in biological membranes
This paper investigates a novel method for exploring soliton behavior in ion transport across biological membranes. This study uses the Hirota...
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Electrically tunable giant Nernst effect in two-dimensional van der Waals heterostructures
The Nernst effect, a transverse thermoelectric phenomenon, has attracted significant attention for its potential in energy conversion,...
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Dynamical chiral Nernst effect in twisted Van der Waals few layers
The Nernst effect is a fundamental thermoelectric conversion phenomenon that was deemed to be possible only in systems with magnetic field or...
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Bipolarity of large anomalous Nernst effect in Weyl magnet-based alloy films
A thermopile device converts thermal energy to electrical energy. Controlling the polarity of the thermoelectric voltage that such a device generates...
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Modeling of Ion Transport in a Three-Layer System with an Ion-Exchange Membrane Based on the Nernst–Planck and Displacement Current Equations
AbstractModeling of ion transport in a three-layer system containing an ion-exchange membrane and two adjacent diffusion layers makes it possible to...
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Anisotropic anomalous Nernst effect of metallic nickel assembled by aligned nanowires
The anomalous Nernst effect (ANE), as a three-dimensional thermoelectric effect in ferromagnetic materials, is expected to break through the...
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Differential behaviors of calcium-induced calcium release in one dimensional dendrite by Nernst–Planck equation, cable model and pure diffusion model
The source and dynamics of calcium is the key factor that regulates dendritic integration. Apart from the voltage-gated and ligand-gated calcium...
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Colossal Nernst power factor in topological semimetal NbSb2
Today solid-state cooling technologies below liquid nitrogen boiling temperature (77 K), crucial to quantum information technology and probing...
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Anomalous enhancement of the Nernst effect at the crossover between a Fermi liquid and a strange metal
A strange-metal state appears in many strongly correlated materials, so understanding its nature is a crucial problem in condensed matter physics....
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NERNST: a genetically-encoded ratiometric non-destructive sensing tool to estimate NADP(H) redox status in bacterial, plant and animal systems
NADP(H) is a central metabolic hub providing reducing equivalents to multiple biosynthetic, regulatory and antioxidative pathways in all living...
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Breakdown of the Nernst–Einstein relation in carbon nanotube porins
For over 100 years, the Nernst–Einstein relation has linked a charged particle’s electrophoretic mobility and diffusion coefficient. Here we report...
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Topology dependence of skyrmion Seebeck and skyrmion Nernst effect
We explore the dynamics of skyrmions with various topological charges induced by a temperature gradient in an ultra-thin insulating magnetic film....
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Adaptive finite element approximation for steady-state Poisson-Nernst-Planck equations
In this paper, we develop an adaptive finite element method for the nonlinear steady-state Poisson-Nernst-Planck equations, where the spatial...
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Unconditional superconvergence analysis of a structure-preserving finite element method for the Poisson-Nernst-Planck equations
In this paper, a linearized structure-preserving Galerkin finite element method is investigated for Poisson-Nernst-Planck (PNP) equations. By making...
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Banach spaces-based mixed finite element methods for the coupled Navier–Stokes and Poisson–Nernst–Planck equations
In this paper we extend the Banach spaces-based fully mixed approach recently developed for the coupled Stokes and Poisson–Nernst–Planck equations,...
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A structure-preserving finite element discretization for the time-dependent Nernst-Planck equation
It is still a challenging task to get a satisfying numerical solution to the time-dependent Nernst-Planck (NP) equation, which satisfies the...
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Computational Modeling of Membrane Blockage via Precipitation: A 2D Extended Poisson-Nernst-Planck Model
The mathematical modeling and simulation of ion transport through biological membranes are a challenging problem with direct applications in biology...