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Lateral instabilities of cubic autocatalytic reaction fronts in a constant electric field

机译:恒定电场中立方自催化反应前沿的侧向不稳定性

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摘要

The region of instability for planar reaction fronts of cubic autocatalysis between ionic species under constant electric field has been determined accurately. The ratio of diffusion coefficients at the onset of instability #delta#_(cr) is substantially varied by the component-dependent drift and directly proportional to the concentration of the autocatalyst behind the front #beta#_s as #delta#_(cr) = 2.3002 #beta#_s. This opens the possibility to use electric field as a control parameter for reaction-front instabilities. The dispersion relation calculated from the linear stability analysis of the full system is in good agreement with the initial evolution of the Fourier modes associated with the slightly perturbed planar reaction front obtained by the direct integration of the governing equations in two spatial dimensions.
机译:精确确定了恒定电场下离子物种之间的立方自催化的平面自催化的平面反应前沿的不稳定性区域。不稳定性开始时扩散系数的比率#delta #_(cr)随组分依赖性漂移而显着变化,并且与前#beta#_s后面的自催化剂的浓度成正比,即#delta #_(cr) = 2.3002#beta#_s。这开辟了将电场用作反应前沿不稳定性的控制参数的可能性。从整个系统的线性稳定性分析计算出的色散关系与傅立叶模态的初始演化非常吻合,傅立叶模态与通过在两个空间维度上直接整合控制方程而获得的略微受扰的平面反应前沿有关。

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