A microscopic Kapitza pendulum

Scientific Reports
Christopher J RichardsDavid Cubero

Abstract

Pyotr Kapitza studied in 1951 the unusual equilibrium features of a rigid pendulum when its point of suspension is under a high-frequency vertical vibration. A sufficiently fast vibration makes the top position stable, putting the pendulum in an inverted orientation that seemingly defies gravity. Kapitza's analytical method, based on an asymptotic separation of fast and slow variables yielding a renormalized potential, has found application in many diverse areas. Here we study Kapitza's pendulum going beyond its typical idealizations, by explicitly considering its finite stiffness and the dissipative interaction with the surrounding medium, and using similar theoretical methods as Kapitza. The pendulum is realized at the micrometre scale using a colloidal particle suspended in water and trapped by optical tweezers. Though the strong dissipation present at this scale prevents the inverted pendulum regime, new ones appear in which the equilibrium positions are displaced to the side, and with transitions between them determined either by the driving frequency or the friction coefficient. These new regimes could be exploited in applications aimed at particle separation at small scales.

References

Mar 4, 1996·Physical Review Letters·M Grifoni, P Hänggi
Nov 26, 1999·Proceedings of the National Academy of Sciences of the United States of America·C F ChouR H Austin
Dec 4, 2003·Nature·M P MacDonaldK Dholakia
Dec 20, 2003·Physical Review Letters·V N ChizhevskyG Giacomelli
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·David CuberoJesús Casado-Pascual
Nov 13, 2007·Physical Review Letters·Marcello Borromeo, Fabio Marchesoni
Oct 1, 1994·Optics Letters·V S BagnatoS C Zílio
Oct 26, 2010·The Journal of the Acoustical Society of America·Randy M CarboMatthew E Poese
Nov 10, 2013·Nature Nanotechnology·Onofrio M MaragòAndrea C Ferrari
Jul 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·V N Chizhevsky

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Citations

Aug 17, 2020·Physical Review. E·Luchun DuWei Guo
Apr 18, 2021·Physical Review. E·David Cubero, Ferruccio Renzoni

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Methods Mentioned

BETA
optical tweezers

Software Mentioned

Matlab

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