Harmonically Trapped Classical Gas under Critical Rotation
J. Chwedeńczuk a , P. Ziń a , M. Trippenbach a , B. Dąbrowska b , M. Gajda c and K. Rzążewski b,d
a Institute of Experimental Physics, Warsaw University, Hoża 69, 00-681 Warsaw, Poland
b Cardinal Wyszyński University, al. Lotników 32/46, 02-668 Warszawa, Poland
c Institute of Physics, Polish Academy of Sciences, al. Lotników 32/46, 02-668 Warszawa, Poland
d Center for Theoretical Physics, Polish Academy of Sciences al. Lotników 32/46, 02-668 Warszawa, Poland
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Received: April 28, 2003; revised version August 11, 2003
We study one- and two-dimensional systems of two interacting particles in a time dependent harmonic potential. In a case of one-dimensional geometry a frequency of the potential varies periodically, while in the two-dimen- sional case the harmonic potential rotates with a constant angular velocity. We show that depending on the driving frequency the distance between the particles can either explode or stay bound. Repulsive interaction can prevent the explosion, which seems quite counter-intuitive. Our work is related to Ecole Normale Superieure experiment and shows that the effect found there is purely classical.
DOI: 10.12693/APhysPolA.104.399
PACS numbers: 03.75.--b, 03.75.Fi