The electric double layer around fractal electrodes is studied with direct numerical simulations of the Nernst-Planck equation coupled with the Poisson equation. The capacitance and the relaxation time obey a power law as a function of the system size, the temperature, and the concentration. The time evolution of the charging process exhibits a stretched exponential law, and the exponent β is numerically evaluated.
|Journal||Physical Review E - Statistical, Nonlinear, and Soft Matter Physics|
|Publication status||Published - May 9 2007|
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics