Casimir force in the O(n) model with free boundary conditions

Daniel Dantchev, Jonathan Bergknoff, and Joseph Rudnick
Phys. Rev. E 89, 042116 – Published 8 April 2014

Abstract

We present results for the temperature behavior of the Casimir force for a system with a film geometry with thickness L subject to free boundary conditions and described by the n limit of the O(n) model. These results extend over all temperatures, including the critical regime near the bulk critical temperature Tc, where the critical fluctuations determine the behavior of the force, and temperatures well below it, where its behavior is dictated by the Goldstone mode contributions. The temperature behavior when the absolute temperature, T, is a finite distance below Tc, up to a logarithmic-in-L proximity of the bulk critical temperature, is obtained both analytically and numerically; the critical behavior follows from numerics. The results resemble—but do not duplicate—the experimental curve behavior for the force obtained for He4 films.

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  • Received 2 October 2012
  • Revised 24 December 2013

DOI:https://doi.org/10.1103/PhysRevE.89.042116

©2014 American Physical Society

Authors & Affiliations

Daniel Dantchev1,2,*, Jonathan Bergknoff1,†, and Joseph Rudnick1,‡

  • 1Department of Physics and Astronomy, University of California at Los Angeles, Los Angeles, California 90095-1547, USA
  • 2Institute of Mechanics–BAS, Academic Georgy Bonchev St. building 4, 1113 Sofia, Bulgaria

  • *daniel@imbm.bas.bg
  • jbergk@physics.ucla.edu
  • jrudnick@physics.ucla.edu

Comments & Replies

Reply to “Comment on ‘Casimir force in the O(n) model with free boundary conditions’ ”

Daniel Dantchev, Jonathan Bergknoff, and Joseph Rudnick
Phys. Rev. E 91, 026102 (2015)

Comment on “Casimir force in the O(n) model with free boundary conditions”

H. W. Diehl, Daniel Grüneberg, Martin Hasenbusch, Alfred Hucht, Sergei B. Rutkevich, and Felix M. Schmidt
Phys. Rev. E 91, 026101 (2015)

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Vol. 89, Iss. 4 — April 2014

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