It is theoretically predicted that the Nernst coefficient is strongly suppressed and the thermal conductance is quantized in the quantum Hall regime of the twodimensional electron gas. The Nernst effect is the induction of a thermomagnetic electromotive force in the y direction under a temperature bias in the x direction and a magnetic field in the z direction. The quantum nature of the Nernst ...

This paper discusses the little-known fact that Donnan’s equilibrium criteria established over 100 years ago neglected coupling between ion concentrations and osmotic pressure. Such can be treated based on general thermodynamic considerations including solvent equilibrium, leading to a membrane potential consists of not only classical Donnan term but also an additional due pressure, existence e...

We develop a set of numerical schemes for the Poisson–Nernst–Planck equations. prove that our are mass conservative, uniquely solvable and keep positivity unconditionally. Furthermore, first-order scheme is proven to be unconditionally energy dissipative. These properties hold various spatial discretizations. Numerical results presented validate these properties. Moreover, indicate second-order...

The spin Hall effect allows the generation of spin current when charge current is passed along materials with large spin-orbit coupling. It has been recently predicted that heat current in a nonmagnetic metal can be converted into spin current via a process referred to as the spin Nernst effect. We report the observation of the spin Nernst effect in W. In W/CoFeB/MgO heterostructures, we find c...

This work presents a few variational multiscale models for charge transport in complex physical, chemical and biological systems and engineering devices, such as fuel cells, solar cells, battery cells, nanofluidics, transistors and ion channels. An essential ingredient of the present models, introduced in an earlier paper (Bulletin of Mathematical Biology, 72, 1562-1622, 2010), is the use of di...

The sartorius muscles of 320 toads have been analyzed for Na(+) and K(+). There is a wide variation in the Na(+) content which when calculated intracellularly varied from 0 m.eq./kg. to 58 m.eq./kg. In particular it was found that the distribution of internal Na(+) in the intact animal was such that only 17 per cent of the muscles should give from the Nernst equation the observed overshoot of 3...

Abstract In this paper the response of ionic systems subjected to a spatially varying electric field is studied. Following the Nernst-Planck equation, two forces driving the mass flux are present, namely, the concentration gradient and the electric potential gradient. The mass flux due to the concentration gradient is modelled through Fick’s law, and a new constitutive relation for the mass flu...

In this work, we leverage a mathematical model of the underlying physiochemical properties of tissues and physicochemical properties of molecules to support the development of hepatoselective glucokinase activators. Passive distribution is modeled via a Fick-Nernst-Planck approach, using in vitro experimental data to estimate the permeability of both ionized and neutral species. The model accou...

Abstract. Reactive transport processes in natural environments often involve many ionic species. The diffusivities of species vary. Since assigning different the advection–diffusion equation leads to charge imbalance, a single diffusivity is usually used for all In this work, we apply Nernst–Planck equation, which resolves unequal an electroneutral manner, model reactive transport. To demonstra...