Nernst–Planck equation

The Nernst Planck equation is named after the physicists Walther Nernst and Max Planck. It describes the motion of charged particles such as ions in consideration of the electric field. They can be regarded as an extension of the Fick law. This equation describes the total ion flux, taking into account diffusion and movement caused by differences in charge movement. This equation is of fundamental importance in all areas where the flow is to be described by any particles.

The force acting on a particle in the middle of the species, results proportional to the gradient of electrical and chemical potentials:

The corresponding electric current density of the species arises therefore to:

• Statistical Physics