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Dynamo regimes and transitions in the VKS experiment

机译:VKS实验中的发电机状态和过渡

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The Von Kármán Sodium experiment yields a variety of dynamo regimes, when asymmetry is imparted to the flow by rotating impellers at different speed F _1 and F _2. We show that as the intensity of forcing, measured as F _1+F _2, is increased, the transition to a self-sustained magnetic field is always observed via a supercritical bifurcation to a stationary state. For some values of the asymmetry parameter θ = (F _1-F _2)/(F _1+F _2), time dependent dynamo regimes develop. They are observed either when the forcing is increased for a given value of asymmetry, or when the amount of asymmetry is varied at sufficiently high forcing. Two qualitatively different transitions between oscillatory and stationary regimes are reported, involving or not a strong divergence of the period of oscillations. These transitions can be interpreted using a low dimensional model based on the interactions of two dynamo modes.
机译:当通过以不同速度F _1和F _2旋转叶轮赋予流动不对称性时,冯卡门钠实验产生各种发电机形式。我们表明,随着强迫强度(以F _1 + F _2度量)的增加,通过超临界分叉始终会观察到向自持磁场的过渡。对于不对称参数θ=(F _1-F _2)/(F _1 + F _2)的某些值,会产生与时间有关的发电机状态。当在给定的不对称值上增加强迫时,或者在足够高的强迫下改变不对称量时,就会观察到它们。据报道,在振荡状态和静止状态之间存在两种在质量上不同的过渡,涉及或不存在剧烈的振荡周期差异。可以使用低维模型基于两个发电机模式的相互作用来解释这些过渡。

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