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Development of mean-field electrical double layer theory

Journal

CHINESE PHYSICS B
Volume 25, Issue 1, Pages -

Publisher

IOP Publishing Ltd
DOI: 10.1088/1674-1056/25/1/016801

Keywords

electric double layer; mean field theory; differential capacitance; supercapacitor

Funding

  1. National Natural Science Foundation of China [21421001, 21373118, 21203100]
  2. Natural Science Foundation of Tianjin, China [13JCQNJC06700]
  3. MOE Innovation Team of China [IRT13022]
  4. NFFTBS [J1103306]

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In order to understand the electric interfacial behavior, mean field based electric double layer (EDL) theory has been continuously developed over the past 150 years. In this article, we briefly review the development of the EDL model, from the dimensionless Gouy-Chapman model to the symmetric Bikerman-Freise model, and finally toward size-asymmetric mean field theory models. We provide the general derivations within the framework of Helmholtz free energy of the lattice-gas model, and it can be seen that the above-mentioned models are consistent in the sense that the interconversion among them can be achieved by reducing the basic assumptions.

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