Overcoming the shortcomings of the Nernst-Planck model

被引:83
作者
Dreyer, Wolfgang [1 ]
Guhlke, Clemens [1 ]
Mueller, Ruediger [1 ]
机构
[1] Weierstrass Inst, D-10117 Berlin, Germany
关键词
MIXTURES;
D O I
10.1039/c3cp44390f
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
This is a study on electrolytes that takes a thermodynamically consistent coupling between mechanics and diffusion into account. It removes some inherent deficiencies of the popular Nernst-Planck model. A boundary problem for equilibrium processes is used to illustrate the features of the new model.
引用
收藏
页码:7075 / 7086
页数:12
相关论文
共 18 条
[1]  
[Anonymous], 1959, THERMODYNAMIK IRREVE
[2]  
[Anonymous], 1985, Thermodynamics. Interaction of Mechanics and Mathematics Series
[3]   Double Layer in Ionic Liquids: Overscreening versus Crowding [J].
Bazant, Martin Z. ;
Storey, Brian D. ;
Kornyshev, Alexei A. .
PHYSICAL REVIEW LETTERS, 2011, 106 (04)
[4]   Diffuse-charge dynamics in electrochemical systems [J].
Bazant, Martin Z. ;
Thornton, Katsuyo ;
Ajdari, Armand .
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2004, 70 (2 1) :021506-1
[5]   DYNAMICS OF LAYERED INTERFACES ARISING FROM PHASE BOUNDARIES [J].
CAGINALP, G ;
FIFE, PC .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1988, 48 (03) :506-518
[6]  
de Groot S., 1963, NONEQUILIBRIUM THERM
[7]   Reaction-diffusion processes of electrically charged species [J].
Gajewski, H ;
Groger, K .
MATHEMATISCHE NACHRICHTEN, 1996, 177 :109-130
[8]   Steric effects in the dynamics of electrolytes at large applied voltages. I. Double-layer charging [J].
Kilic, Mustafa Sabri ;
Bazant, Martin Z. ;
Ajdari, Armand .
PHYSICAL REVIEW E, 2007, 75 (02)
[9]   An advanced model framework for solid electrolyte intercalation batteries [J].
Landstorfer, Manuel ;
Funken, Stefan ;
Jacob, Timo .
PHYSICAL CHEMISTRY CHEMICAL PHYSICS, 2011, 13 (28) :12817-12825
[10]   Thermodynamic consistent transport theory of Li-ion batteries [J].
Latz, A. ;
Zausch, J. .
JOURNAL OF POWER SOURCES, 2011, 196 (06) :3296-3302