Poisson-Nernst-Planck equations are a coupled system of nonlinear partial differential equations consisting of the Nernst-Planck equation and the electrostatic Poisson equation with delta distribution sources, which describe the electrodiffusion of ions in a solvated biomolecular system. In this paper, some error bounds for a piecewise finite element approximation to this problem are derived. S...

Title of Dissertation: SPECIFIC HEAT AND NERNST EFFECT OF ELECTRON-DOPED CUPRATE SUPERCONDUCTORS Hamza Balci, Doctor of Philosophy, 2004 Dissertation directed by: Professor Richard L. Greene Department of Physics This thesis consists of two separate studies on Pr2−xCexCuO4 (PCCO), a member of the electron-doped high temperature cuprate superconductor family: specific heat and the Nernst effect....

We report on the thermoelectric detection of spin waves in Permalloy stripes via the anomalous Nernst effect. Spin waves are locally excited by a dynamic magnetic field generated from a microwave current flowing in a coplanar waveguide placed on top of a Permalloy stripe, which acts as a waveguide for spin waves. Electric contacts at the ends of the Permalloy stripe measure a dc voltage generat...

The thermodynamics of irreversible processes in continuous media predicts the existence of a magnetic Nernst effect that results from a magnetic analog to the Seebeck effect in a ferromagnet and magnetophoresis occurring in a paramagnetic electrode in contact with the ferromagnet. Thus, a voltage that has DC and AC components is expected across a Pt electrode as a response to the inhomogeneous ...

In his 1884 book on the principles of mobile equilibria, van’t Hoff (2) presented the generalization that, in an equilibrium system, an elevation of temperature would favor the endothermic reaction. Twenty years later, Nernst, as part of his efforts in developing the third law of thermodynamics (3), derived an expression for calculating the equilibrium constant for a reaction at any temperature...

The Nernst effect in metals is highly sensitive to two kinds of phase transition: superconductivity and density-wave order. The large, positive Nernst signal observed in hole-doped high-T(c) superconductors above their transition temperature (T(c)) has so far been attributed to fluctuating superconductivity. Here we report that in some of these materials the large Nernst signal is in fact the r...