We offer a comprehensive theory of pH response of a coupled ISFET sensor to show that the maximum achievable response is given by ΔV/ΔpH = 59 mV/pH × α, where 59 mV/pH is the intrinsic Nernst response and α an amplification factor that depends on the geometrical and electrical properties of the sensor and transducer nodes. While the intrinsic Nernst response of an electrolyte/site-binding inter...

We consider the Nernst effect in the normal state of the underdoped cuprate superconductors, where recent quantum oscillation experiments have indicated the existence of Fermi surface pockets and quasiparticle ambipolarity in the excitation spectrum. Using an ambipolar d-density-wave model for the pseudogap, we predict a peak in the Nernst coefficient with decreasing temperature below the pseud...

The a posteriori error estimates are studied for class of nonlinear stead-state Poisson–Nernst–Planck equations, which coupled system consisting the Nernst–Planck equation and Poisson equation. Both global upper bounds local lower estimators obtained by using averaging operator. Numerical experiments given to confirm reliability efficiency estimators.

Walther Nernst (1864-1941) was, without a doubt, one of the most remarkable physicists of the early 20th century. His main accomplishments were in the field of physical chemistry, a discipline he founded together with other well-known scientists, including J.H. van’t Hoff, W. Ostwald and S. Arrhenius. His most famous contribution to physics was the so-called third law of thermodynamics, for whi...

The Poisson-Nernst-Planck (PNP) model is based on a mean-field approximation of ion interactions and continuum descriptions of concentration and electrostatic potential. It provides qualitative explanation and increasingly quantitative predictions of experimental measurements for the ion transport problems in many areas such as semiconductor devices, nanofluidic systems, and biological systems,...