R. Darling et J. Newman, ON THE SHORT-TIME BEHAVIOR OF POROUS INTERCALATION ELECTRODES, Journal of the Electrochemical Society, 144(9), 1997, pp. 3057-3063
The reaction-rate distribution in a porous electrode containing an int
ercalation compound is examined theoretically. Particular attention is
paid to the influence of the exchange current density on the propagat
ion of the reaction through the depth of the electrode at short times.
The governing differential equations are nondimensionalized, lineariz
ed, and applied to semi-infinite electrode and separator regions. A La
place transform of the solution to this problem is presented, and asym
ptotes are developed for-short and moderate times. These limiting form
s are compared to the results of numerical simulations. The short-time
reaction-rate distribution consistent with the assumption of an arbit
rarily large exchange current density is presented and analyzed.