Kitahata Hiroyuki, Koyano Yuki
Department of Physics, Graduate School of Science, Chiba University, Chiba 263-8522, Japan.
Department of Human Environmental Science, Graduate School of Human Development and Environment, Kobe University, Kobe 657-0011, Japan.
Phys Rev E. 2023 Jun;107(6-1):064607. doi: 10.1103/PhysRevE.107.064607.
We investigate the synchronization of active rotors. A rotor is composed of a free-rotating arm with a particle that releases a surface-active chemical compound. It exhibits self-rotation due to the surface tension gradient originating from the concentration field of the surface-active compound released from the rotor. In a system with two active rotors, they should interact through the concentration field. Thus, the interaction between them does not depend only on the instantaneous positions, but also on the dynamics of the concentration field. By numerical simulations, we show that in-phase and antiphase synchronizations occur depending on the distance between the two rotors. The stability of the synchronization mode is analyzed based on phase reduction theorem through the calculation of the concentration field in the co-rotating frame with the active rotor. We also confirm that the numerical results meet the prediction by theoretical analyses.
我们研究了主动转子的同步。一个转子由一个自由旋转的臂和一个释放表面活性化合物的粒子组成。由于源自转子释放的表面活性化合物浓度场的表面张力梯度，它呈现出自旋。在具有两个主动转子的系统中，它们应通过浓度场相互作用。因此，它们之间的相互作用不仅取决于瞬时位置，还取决于浓度场的动态变化。通过数值模拟，我们表明，根据两个转子之间的距离会出现同相和反相同步。基于相位约化定理，通过计算与主动转子共旋转框架中的浓度场，分析了同步模式的稳定性。我们还证实了数值结果与理论分析的预测相符。
