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Phys. Rev. Lett. 82, 3948–3951 (1999)

Identity of the van der Waals Force and the Casimir Effect and the Irrelevance of These Phenomena to Sonoluminescence

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Iver Brevik*
Division of Applied Mechanics, Norwegian University of Science and Technology, N-7491 Trondheim, Norway

Valery N. Marachevsky
Department of Theoretical Physics, St. Petersburg University, 198 904 St. Petersburg, Russia

Kimball A. Milton
Department of Physics and Astronomy, The University of Oklahoma, Norman, Oklahoma 73019

Received 12 October 1998; published in the issue dated 17 May 1999

We show that the Casimir, or zero-point, energy of a dilute dielectric ball, or of a spherical bubble in a dielectric medium, coincides with the sum of the van der Waals energies between the molecules that make up the medium. That energy, which is finite and repulsive when self-energy and surface effects are removed, may be unambiguously calculated by either dimensional continuation or by zeta-function regularization. This physical interpretation of the Casimir energy seems to be unambiguous evidence that the bulk self-energy cannot be relevant to sonoluminescence.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.82.3948
DOI:
10.1103/PhysRevLett.82.3948
PACS:
12.20.Ds, 03.70.+k, 78.60.Mq, 42.50.Lc

*Electronic address: iver.h.brevik@mtf.ntnu.no

Electronic address: root@vm1485.spb.edu

Electronic address: milton@mail.nhn.ou.edu