Synchronization and Pattern Formation in Electrochemical Oscillators:  Model Calculations

Abstract

There exist many experimental examples of spatial pattern formation in electrochemical systems. Using a recently proposed model, we present numerical simulations of the spatio-temporal behavior in the bistable and oscillatory regime. The simulations reveal that for some parameter regimes only spatially inhomogeneous solutions exist. The impact of the system parameters on the spatial coupling as well as on the existence of patterns is elaborated. The predictions coincide with experimental results for a simple electrochemical reaction, the reduction of peroxodisulfate.

Phase synchronization of nonidentical chaotic electrochemical oscillators

“…44 However, the present experiments were carried out under conditions in which an increase in system size resulted in an increase in coupling strength. In general, an increase in electrode size can change the coupling strength because of changes in potential field, change the local reaction dynamics through a change in double layer potential drop, or change the relationship between the coupling length scale and the size of the reaction surface.…”

Negative coupling during oscillatory pattern formation on a ring electrode

“…8 The mechanism of coupling among the reacting sites in electrochemical systems has been discussed in a few recent papers. [18][19][20][21][22][23] A nonlocal coupling among reactive sites arises through the electric field: Potential changes at some location are transmitted rapidly to other locations. This coupling is long-range ͑and thus not local͒ but is not global because its effect diminishes with increasing distance.…”

Nonlocal Complex Ginzburg-Landau Equation for Electrochemical Systems

“…0. Although the NCGLE can be extended to some 2D electrodes, we focus our attention to 1D ring electrodes because of their enormous experimental interest [7][8][9][10][11][12]. Our starting point is the dynamics for the double layer potential DL coupled to the homogeneous reaction kinetics governing the evolution of a vector of chemical species c [8] @ t DL f DL ; c ÿ @ z j zWE (1) @ t c g DL ; c:…”

“…We now calculate the coefficients c 1 and c 2 of the NCGLE, Eq. (13) from the dynamics of a N-type negative differential resistance (N-NDR) electrochemical oscillator [11] at the SHB. This two-variable N-NDR model was considered, for example, for the reduction of IO ÿ 4 on an Au electrode.…”

“…It is given by Eqs. (1) and (2) with [11] f DL ; c ÿk DL ; c c U ÿ DL (15) g DL ; c ÿk DL ; c 1 ÿ c:…”