The concept of electrodiffusion based on the Nernst-Planck equations for ionic fluxes coupled with the Poisson equation expressing relation between gradient of the electric field and the charge density is widely used in many areas of natural sciences and engineering. In contrast to the steady-state solutions of the Nernst-Planck-Poisson (abbreviated as NPP or PNP) equations, little is known abo...

The Poisson Nernst-Planck equations for charge concentration and electric potential in a ball is a model of electro-diffusion of ions in the head of a neuronal dendritic spine. We study the relaxation and the steady state when an initial charge of ions is injected into the ball. The steady state equation is similar to the Liouville-Gelfand-Bratú-type equation with the difference that the bounda...

Based on high-throughput first-principles calculations, we evaluated the anomalous Hall and Nernst conductivities of 266 transition-metal-based ferromagnetic compounds. Detailed analysis based symmetries Berry curvatures reveals that origin singular-like behaviour Hall/Nernst can be mostly attributed to appearance Weyl nodes or nodal lines located in proximity Fermi energy, which further tailor...

We predict that a temperature gradient can induce a magnon-mediated spin Hall response in an antiferromagnet with nontrivial magnon Berry curvature. We develop a linear response theory which gives a general condition for a Hall current to be well defined, even when the thermal Hall response is forbidden by symmetry. We apply our theory to a honeycomb lattice antiferromagnet and discuss a role o...

In contrast with predictions, researchers find no variation in a thermoelectric signal (known as the Nernst signal) for different types of superconductor.

A large transverse thermoelectric response, known as anomalous Nernst effect (ANE) has been recently observed in several topological magnets. Building a thermopile employing this the subject of recent propositions. Here, we design and build with an array tilted adjacent crystals Mn$_3$Sn. The employs single material replaces pairs P N thermocouples traditional hermaphroditic legs. exploits lag ...