Syllabus
1) Review of Maxwell equations for electromagnetic field, magnetization and polarization. 2) Review of equation for transport of mixtures in mechanical equilibrium (Maxwell-Stefan diffusion relations). Entropy, free energy of mixtures.
Entropy production. 3) Connection between Maxwell equations and diffusion equations. Lorentz force, electrochemical potential, Maxwell stress tensor.
Basic rheological behavior of mixtures. Poisson equation.
Ohm's law, Nernst-Planck-Poisson equations, Fick's law. 4) Electrochemical reactions, Butler-Volmer equation and equilibrium constants. Electrochemical tables, reference chemical potentials.
Nernst relation, osmotic pressure, Donnan potential, open-circuit voltage and dissociation. Voltage of hydrogen fuel cells and redox flow batteries. 6) Transport equations, electrochemical reactions and description of hydrogen fuel cells. 7) Efficiency of energy producing devices, relation to entropy production.
Stability using Braun-Le Chatelier principle.
Annotation
Elektrochemistry connects transport of matter and of electric charge. It is a necessary tool for description of batteries, fuel cells and electrolysers.
The goal of the course is to formulate fundamental equations describing elecrochemical processes by means of non-equilibrium thermodynamics and to present some of their solutions.