TITLE

Hysteresis and phase transition in many-particle storage systems

AUTHOR(S)
Dreyer, Wolfgang; Guhlke, Clemens; Herrmann, Michael
PUB. DATE
May 2011
SOURCE
Continuum Mechanics & Thermodynamics;May2011, Vol. 23 Issue 3, p211
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We study the behavior of systems that can be described as ensembles of interconnected storage particles. Our examples concern the storage of lithium in many-particle electrodes of rechargeable lithium-ion batteries and the storage of air in a system of interconnected rubber balloons. We are particularly interested in those storage systems whose constituents exhibit non-monotone material behavior leading to transitions between two coexisting phases and to hysteresis. In the current study, we consider the case that the time to approach equilibrium of a single storage particle is much smaller than the time for full charging of the ensemble. In this regime, the evolution of the probability to find a particle of the ensemble in a certain state may be described by a non-local conservation law of Fokker-Planck type. The resulting equation contains two parameter which control whether the ensemble transits the 2-phase region along a Maxwell line or along a hysteresis path, or whether the ensemble shows the same non-monotone behavior as its constituents.
ACCESSION #
60280928

 

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