Darmstadt 2008 – scientific programme

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P: Fachverband Plasmaphysik

P III: Poster: Diagnostik, Theorie, Schwerionen- und lasererzeugte Plasmen, Sonstiges

P III.21: Poster

Tuesday, March 11, 2008, 11:00–13:00, Poster C3

On the existence and vanishing of the breathing mode — •Christian Henning¹, Kenji Fujioka², Alexander Piel³, Patrick Ludwig¹, and Michael Bonitz¹ — ¹CAU zu Kiel, ITAP, D-24118 Kiel — ²City College of New York, NY 10031 — ³CAU zu Kiel, IEAP, D-24118 Kiel

From normal mode analysis of harmonically confined Coulomb systems of any dimension the breathing mode, a radial and uniform oscillation, is well known and also topic of actual research [1,2]. Investigations of other systems (e.g. Yukawa, Lennard-Jones) also use the properties of this breathing mode [3,4].

Here, we show that the concept of the breathing mode can not in general be transferred from Coulomb systems to other systems [5]. We derive an equation for the existence of the breathing mode, present the condition for its existence and show counter-examples of different types.

[1] Kielpinksi et al., Phys. Rev. A 61, 032310 (2000)

[2] Ferreira et al., Phys. Rev. E 72, 021406 (2005)

[3] Y. Ozaki, M. Ichihashi, and T. Kondow, Z. Phys. D 20, 161 (1991)

[4] M. Kong, B. Partoens, and F.M. Peeters, N. J. Phys. 5, 23 (2003)

[5] C. Henning et al., submitted for publication