2013-09-27

A series of six lectures about "Coupling of Electrodynamics and Thermodynamics" will be presented by Prof. Dr. W. Dreyer from the Weierstrass Institute for Applied Analysis and Stochastics in Berlin. The lectures will take place from October 09 to 11, at 09:30-10:45 and 11:00-11:45, respectively, in Room 403, building L2|06 (Center of Smart Interfaces, Petersenstraße 17).

**Abstract**

Modern electrochemical applications in the context of renewable energies makes a revision of the classical Nernst-Planck-Poisson-Boltzmann models mandatory. The old models exhibit various shortcomings. Their most serious deficiency is a fully missing or non-correct coupling to the balance equation for the momentum. This concerns the bulk regions as well as the interface between different electrochemical systems.

These six lectures start with the introduction of primitive quantities describing the local state of matter and of the electromagnetic field. The lectures proceed with a brief summary of continuum thermodynamics consisting of universal balance equations and constitutive equations. Next we introduce the full system of Maxwell’s equations for continuous media and analyze its properties. In particular, we show that Maxwell’s equation can be interpreted as conservation laws for electric charge and magnetic flux. This interpretation is important because it drastically simplifies the finding of boundary conditions. The electromagnetic field couples to the equations for matter via the Lorentz force and the Joule heat.

The constitutive theory for some selected materials needs a preliminary discussion of the principles of relativity and material frame indifference. We give a classification of the various quantities with respect to observer transformations. Hereafter we use the 2nd law of thermodynamics to develop various constitutive models.

In the last part of these lectures we use the derived models to solve some open problems for electrochemical systems. Particularly the properties of boundary layers at the interface between different materials are discussed in detail.

These lectures are provided together with the Center of Smart Interfaces (CSI).

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