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Casimir friction in terms of moving harmonic oscillators: equivalence between two different formulations

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Abstract.

The Casimir friction problem can be dealt with in a simplified way by considering two harmonic oscillators moving with constant relative velocity. Recently we calculated the energy dissipation ΔE for such a case [Europhys. Lett. 91, 60003 (2010); Eur. Phys. J. D 61, 335 (2011)]. A recent study of Barton [New J. Phys. 12, 113044 (2010)] seemingly leads to a different result for the dissipation. If such a discrepancy really were true, it would imply a delicate difficulty for the basic theory of Casimir friction. In the present note we show that the expressions for ΔE are in fact physically equivalent, at T = 0.

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Authors and Affiliations

  1. Department of Physics, Norwegian University of Science and Technology, 7491, Trondheim, Norway

    J.S. Høye

  2. Department of Energy and Process Engineering, Norwegian University of Science and Technology, 7491, Trondheim, Norway

    I. Brevik

Authors
  1. J.S. Høye
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  2. I. Brevik
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Correspondence to I. Brevik.

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Høye, J., Brevik, I. Casimir friction in terms of moving harmonic oscillators: equivalence between two different formulations. Eur. Phys. J. D 64, 1–3 (2011). https://doi.org/10.1140/epjd/e2011-20109-1

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  • DOI: https://doi.org/10.1140/epjd/e2011-20109-1

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