학술논문
Mathematical modeling of hysteresis in porous electrodes.
Document Type
Article
Author
Source
Subject
*ELECTRODES
*GRAPHITE
*POROUS materials
*MATHEMATICAL symmetry
*MULTIPLICITY (Mathematics)
*MATHEMATICAL models
*SURFACE chemistry
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Language
ISSN
0259-9791
Abstract
We study the mathematical model of the Li+ ions' intercalation from the electrolyte into the porous graphite surface of the negatively charged electrode and further Li diffusion inside the electrode particle. For proper approximation of experimental data we use the cubic polynomial. We prove the multiplicity of the steady state solutions in a certain range of the electrode potential values. This multiplicity may be explained by the simultaneous existence of several phases at the graphite electrode surface. Numerical investigation allows us to demonstrate the experimentally observed hysteresis. After including the diffusion of Li into the model we compare the charging time for various electrode structures. [ABSTRACT FROM AUTHOR]