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American Journal of Physics -- November 2001 -- Volume 69, Issue 11, pp. 1173

Classical Casimir effect for beads on a string

David J. Griffiths and Elan Ho

Department of Physics, Reed College, Portland, Oregon 97202

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Two small beads are situated at distance a apart on an otherwise uniform taut string. A transverse wave of angular frequency ω is incident from one side, exerting longitudinal forces F1 and F2, respectively, on the beads. The effective “force of attraction” between the beads, FC=(F1F2)/2, is the simplest classical analog to the Casimir effect. We find that FC can be positive or negative, depending on the values of a and ω. For a broad spectrum of incident “noise,” however, the net “Casimir” force is zero. © 2001 American Association of Physics Teachers.

© 2001 American Association of Physics Teachers

KEYWORDS and PACS

PACS

  • 01.50.-i

    Educational aids

  • 45.05.+x

    General theory of classical mechanics of discrete systems

  • 45.40.-f

    Dynamics and kinematics of rigid bodies

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History
Received May 2001
Accepted Jun 2001

PUBLICATION DATA

ISSN

0002-9505 (print)  

ARTICLE DATA


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