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MM: Fachverband Metall- und Materialphysik

MM 50: Topical Session Battery Materials II

MM 50.1: Topical Talk

Donnerstag, 25. März 2010, 12:15–12:45, H6

Hysteresis due to non-monotone material behaviour inside many particle systems — •Clemens Guhlke and Wolfgang Dreyer — Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, 10117 Berlin, Germany

Relying on two examples we study storage problems. The examples concern the storage of lithium in small iron phosphate particles constituting the cathode of a lithium-ion battery and the storage of air in elastic rubber balloons.

The two storage systems have in common: 1. The iron phosphate particles as well as the rubber balloons exhibit non-monotone constitutive behavior. 2. Phase transition and hysteresis during loading and unloading.

We describe the processes of loading and unloading by a kinetic equation of Fokker-Planck type. There are two small parameters that control whether the phase transition evolves along the Maxwell line or if they exhibit strong hysteretic behavior.