# 1st Leibniz MMS Days - Abstract

**Dreyer, Wolfgang**

*Models of Lithium-Ion-Batteries: A paradigm for consistent modelling*

A model of continuum physics consists of universal balance equation and constitutive equation describing the material at hand. The constitutive equations are restricted by the 2nd law of continuum thermodynamics. It embodies five universal and two material dependent postulates. A mathematical model of any physical process is said to be thermodynamically consistent if it satisfies the entirety of these postulates. A model that violates any of the seven postulates has to be rejected. Various electrochemical phenomena happening at an electrolyte-electrode interface serve to illustrate the imperative of thermodynamically consistent models. Particularly, shortcomings of the popular Nernst-Planck-Poisson model and their removal are presented.