Chiral selection and frequency response of spiral waves in reaction-diffusion systems under a chiral electric field.
Chirality is one of the most fundamental properties of many physical, chemical, and biological systems. However, the mechanisms underlying the onset and control of chiral symmetry are largely understudied. We investigate possibility of chirality control in a chemical excitable system (the Belousov-Zhabotinsky reaction) by application of a chiral (rotating) electric field using the Oregonator model. We find that unlike previous findings, we can achieve the chirality control not only in the field rotation direction, but also opposite to it, depending on the field rotation frequency. To unravel the mechanism, we further develop a comprehensive theory of frequency synchronization based on the response function approach. We find that this problem can be described by the Adler equation and show phase-locking phenomena, known as the Arnold tongue. Our theoretical predictions are in good quantitative agreement with the numerical simulations and provide a solid basis for chirality control in excitable media.
Department of Physics, Hangzhou Normal University, Hangzhou 310036, China.
Bing-Wei
BW
Li
Zhejiang Institute of Modern Physics and Department of Physics, Zhejiang University, Hangzhou 310027, China.
Mei-Chun
MC
Cai
Zhejiang Institute of Modern Physics and Department of Physics, Zhejiang University, Hangzhou 310027, China.
Hong
H
Zhang
Department of Physics and Astronomy, Ghent University, Krijgslaan 281, 9000 Gent, Belgium.
Alexander V
AV
Panfilov
Department of Physics and Astronomy, Ghent University, Krijgslaan 281, 9000 Gent, Belgium.
Hans
H
Dierckx
D003198:Computer Simulation; D004058:Diffusion; D004574:Electromagnetic Fields; D008962:Models, Theoretical