The spin Nernst effect is a phenomenon in which the current flows perpendicular to temperature gradient. Similar Hall effect, this also causes accumulation at boundaries. Here, we study response gradient of with use Green's functions. Our formalism predicts physically observable without ambiguity regarding definition or magnetization correction. We prove generalized Mott relation between electr...

Walther Nernst is best known for his contributions to thermodynamics, and in particular for the third law of thermodynamics, for which he received the Nobel Prize for Chemistry in 1920. His work at the time when quantum theory was developing rapidly had cosmological implications which he explored in 1937 in a paper which has been overlooked. The cosmological work of Nernst has been brought to m...

We theoretically study the magnon spin thermal transport using a strong-coupling approach in pyrochlore iridate trilayer thin films grown along [111] direction. As result of Dzyaloshinskii-Moriya interaction, configuration ground state is an all-in/all-out ordering on neighboring tetrahedra lattice. In such state, system has inversion symmetry and Nernst-type current response well defined. calc...

This is a study on electrolytes that takes a thermodynamically consistent coupling between mechanics and diffusion into account. It removes some inherent deficiencies of the popular Nernst-Planck model. A boundary problem for equilibrium processes is used to illustrate the features of the new model.

In this note we study a fractional Poisson-Nernst-Planck equation modeling a semiconductor device. We prove several decay estimates for the Lebesgue and Sobolev norms in one, two and three dimensions. We also provide the first term of the asymptotic expansion as t → ∞.

The drift-diffusion (Poisson-Nernst-Planck) model is applied to ionic channels in biological membranes plus surrounding solution baths. Simulations of the K channel in KCl solutions using the TRBDF2 method are presented which show significant boundary layers at the ends of the channel. The computed current-voltage curve for the K channel shows excellent agreement with experimental measurements.

We begin with historical remarks on the basic contributions to thermodynamics and statistics with some bias to scientists working in Berlin as Helmholtz, Clausius, Nernst and Einstein. We underline the key role of thermodynamic ideas in the scientific revolutions in the 20th century. Further we discuss several recent applications to natural, evolutionary and informational systems, exotic applic...