College Physics ›› 2021, Vol. 40 ›› Issue (6): 71-.doi: 10.16854 /j.cnki.1000-0712.200520

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Research on the critical parameter of Faraday pattern generation under higher-frequency driving

YAN Han,WANG Wei,ZHOU Lu-qun   

  1. School of Physics,Peking University,Beijing 100871,China
  • Received:2020-11-27 Revised:2021-01-08 Online:2021-06-20 Published:2021-06-23


 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