Numerical study on time delay for chemical wave transmission via an inactive gap

The time delay for transmission of chemical waves via a geometrically asymmetric gap is studied based on the Rovinsky-Zhabotinsky model of the Belousov-Zhabotinsky reaction. It decreases with acidity and increases with the gap width. The time delay is assumed to be the sum of two components: the diffusion process within the gap and the reaction process at the receiving boundary. The latter accounts for the presence of the critical gap width above which no transmission occurs, and consequently, for switching of unidirectional transmission. An equation for the time delay is proposed as a function of the gap width.