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Twisted scroll wave dynamics: partially pinned waves in excitable chemical media
Porramain Porjai1, Malee Sutthiopad, Kritsana Khaothong
1Division of Physics, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi, 39, Rangsit-Nakhonnayok Road, Thanyaburi, Pathum Thani 12110, Thailand.
Physical Chemistry Chemical Physics : PCCP
|January 17, 2019
Summary
Scroll waves in the Belousov-Zhabotinsky reaction become twisted when interacting with cylindrical obstacles. This twisting phenomenon, observed in experiments and simulations, alters wave dynamics and period until the wave fully wraps the obstacle.
Area of Science:
- Chemical kinetics
- Nonlinear dynamics
- Excitable media
Background:
- Scroll waves are complex dynamic patterns in excitable media like the Belousov-Zhabotinsky reaction.
- Understanding wave-obstacle interactions is crucial for controlling spatio-temporal patterns.
Purpose of the Study:
- To investigate the dynamics of scroll waves pinned to cylindrical obstacles in 3D.
- To analyze the effect of obstacle dimensions on scroll wave behavior.
Main Methods:
- Experimental initiation of scroll waves partially pinned to obstacles.
- Numerical simulations using the Oregonator model for Belousov-Zhabotinsky reactions.
- Varying obstacle lengths and diameters to observe dynamic changes.
Main Results:
- Obstacles cause immediate changes in scroll wave period, with the pinned region slowing down.
- A transition from straight to twisted scroll waves occurs in the pinned region.
- The twisted wave eventually wraps the entire obstacle, synchronizing the wave period.
- Transition time depends inversely on obstacle diameter and directly on length.
- Twisted wave stability is achieved, with pitch and twist rate influenced by obstacle diameter.
Conclusions:
- Cylindrical obstacles induce a stable twisted scroll wave state in 3D excitable media.
- Obstacle geometry significantly controls the transition dynamics and final wave structure.
- This study provides insights into controlling complex wave patterns in chemical systems.
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