Wolfgang Dreyer, WIAS-Berlino

Title: Mathematical Modelling of Entropy Induced Hysteresis in
Many-Particle Systems

Abstract:

Classical hysteresis is induced by plastic processes on some micro scale of
a given body.
A second  kind of hysteresis is of essentially different origin as
plasticity induced hysteresis. The phenomenon is called entropy induced
hysteresis
that  occurs in the context of lithium-ion batteries,  shape memory alloys
and a system of interconnected rubber balloons.
Those examples refer to storage systems consisting of many storage
particles:
For example, in lithium-ion batteries, lithium atoms are reversibly stored
during discharging in an ensemble of storage particles.
A system of many interconnected rubber balloons serves to store air.
The central quantity of the mathematical model is the probability that a
storage particle of the ensemble has a certain filling state.
The evolution law for the probability density is a nonlocal and nonlinear
Fokker Planck equation. In this lecture its properties will be discussed in
detail.