Abstract
In electrohydrodynamic phenomena, rhythmic oscillations of current under ac electric fields were observed in dielectric liquid, C4F9OCH3 (Abe et al., Jpn. J. Appl. Phys. (2010)). The oscillations of current and static pressure depended extensively on surface conditions of the electrodes, where an electric double layer on the surface of electrodes is sensitive to its smoothness. The characteristic frequency of current was defined by a crossover point on the power spectrum. This is based on non-synchronization with external ac fields above the critical frequency of current. Simulations are carried out using feedback loop including two-dimensional diffusion process. The observed crossover point on the power spectrum is reproducible qualitatively in the simulations.
Highlights
Synergetic phenomena are seen in physics, chemistry and biology [1,2]
Based on the experimental results, the EDL model including 2D diffusion process is proposed to express the rhythmic oscillations of currents
The synchronization with ac fields in the simulations is in good agreement with the experimental result
Summary
The self-organized oscillations are realized by a balance between activation and suppression in an unstable system. Much attention has been devoted to analyze the above oscillations using nonlinear dissipative dynamics as asymptotic methods. A simple two-state model, which is described by ordinary differential equations, is proposed to explain bacterial behaviors [3]. Heterogeneous bacterial populations are influenced by the switching rate in the equations. Cell population heterogeneity in biochemical oscillating components is represented by feedback loops [4]. Mathematical model is formalized to express activation delay in cellular control system. A switching mechanism between two stable steady states corresponds to bistability in response curve, which associates with a biological property such as bacterial virulence
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