Quantification of Pulse Behavior Under an Applied Electric Field within Self-Replication Regimes in Reaction-Diffusion Systems

Reaction-diffusion systems are renowned for their capability to generate spatiotemporal patterns. The Gray-Scott model has been observed to exhibit a variety of patterns including stationary pulses, traveling pulses, self-replicating pulses that form branching and coarsening behavior, as well as transient chaos. The Gray Scott model simulates a chemical reaction taking place with 2 species, U and V. When perturbing the system with a strong electric field and an equal to low differential between U and V, pattern deformation was observed. When applying this same perturbation with a time dependency, a peak shift was observed. By dynamically detecting peaks we derived these peak locations in the system with respect to the system time and a peak-shift velocity was calculated, allowing for the quantification of this behavior. Furthermore, when applying a low electric field strength with a differential of charges a coarsening effect was observed. We found that this coarsening-type effect was sensitive to weak electric field perturbations relative to the already applied electric field.