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

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

  • 1Department of Physics and Astronomy, UCLA, Los Angeles, California 90095-1547, USA
  • 2Institute of Mechanics-BAS, Academic Georgy Bonchev Street, Building 4, 1113 Sofia, Bulgaria

  • *daniel@imbm.bas.bg
  • †jbergk@physics.ucla.edu
  • ‡jrudnick@physics.ucla.edu
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Phys. Rev. E 91, 026102 – Published 17 February, 2015

DOI: https://doi.org/10.1103/PhysRevE.91.026102

Abstract

The preceding Comment raises a few points concerning our paper [Phys. Rev. E 89, 042116 (2014)]. In this Reply we stress that although Diehl et al. [Europhys. Lett. 100, 10004 (2012) and Phys. Rev. E 89, 062123 (2014)] use three different models to study the Casimir force for the O(n→∞) model with free boundary conditions we study a single model over the entire range of temperatures from above the bulk critical temperature Tc to absolute temperatures down to T=0. The use of a single model renders more transparent the crossover from effects dominated by critical fluctuations in the vicinity of the bulk transition temperature to effects controlled by Goldstone modes at low temperatures. Contrary to the assertion in the Comment, we make no claim for the superiority of our model over any of those considered by Diehl et al. [Europhys. Lett. 100, 10004 (2012) and Phys. Rev. E 89, 062123 (2014)]. We also present additional evidence supporting our conclusion in Dantchev et al. [Phys. Rev. E 89, 042116 (2014)] that the temperature range in which our low-temperature analytical expansion for the Casimir force increases as L grows and remains accurate for values of the ratio T/Tc that become closer and closer to unity, whereas T remains well outside of the critical region.

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Comments & Replies

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)

Article Text

Original Article

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

Daniel Dantchev, Jonathan Bergknoff, and Joseph Rudnick
Phys. Rev. E 89, 042116 (2014)

References (15)

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Phys. Rev. E 91, 026102– Published 17 February, 2015
  • Received 1 January 2015

©2015 American Physical Society

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