关键词: 法拉第斑图, 高频驱动 临界参数, 准线性关系

Abstract:

 In this experiment，the formation of Faraday pattern in xanthan gum solution driven by high frequency

periodic external force is studied.The experimental results show that the critical parameter of pattern generation，

the maximum driving acceleration，has a quasi linear relationship with the driving frequency.Further semiquantitative

theoretical analysis shows that this result may be related to the balance of the energy dissipation caused

by viscosity and the energy input of the external driving force，and the maximum velocity of solution surface may be

the key characteristic quantity affecting the pattern generation.

Key words: Faraday waves, higher-frequency driving, critical parameter, quasi linear relation