Roughness correction to the Casimir force at short separations: Contact distance and extreme value statistics

W. Broer, G. Palasantzas, J. Knoester, Vitaly Svetovoy

Research output: Contribution to journalArticleAcademicpeer-review

28 Citations (Scopus)

Abstract

So far there has been no reliable method to calculate the Casimir force at separations comparable to the root-mean square of the height fluctuations of the surfaces. Statistical analysis of rough gold samples has revealed the presence of peaks considerably higher than the root-mean-square roughness. These peaks redefine the minimum separation distance between the bodies and can be described by extreme value statistics. Here we show that the contribution of the high peaks to the Casimir force can be calculated with the proximity force approximation, while the contribution of asperities with normal height can be evaluated perturbatively. This method provides a reliable estimate of the Casimir force at short distances, and it solves the significant, so far unexplained discrepancy between measurements of the Casimir force between rough surfaces and the results of perturbation theory. Furthermore, we illustrate the importance of our results in a technologically relevant situation.
Original languageUndefined
Pages (from-to)155410
Number of pages13
JournalPhysical review B: Condensed matter and materials physics
Volume85
Issue number15
DOIs
Publication statusPublished - 5 Apr 2012

Keywords

  • EWI-22446
  • IR-82189
  • METIS-296130

Cite this

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abstract = "So far there has been no reliable method to calculate the Casimir force at separations comparable to the root-mean square of the height fluctuations of the surfaces. Statistical analysis of rough gold samples has revealed the presence of peaks considerably higher than the root-mean-square roughness. These peaks redefine the minimum separation distance between the bodies and can be described by extreme value statistics. Here we show that the contribution of the high peaks to the Casimir force can be calculated with the proximity force approximation, while the contribution of asperities with normal height can be evaluated perturbatively. This method provides a reliable estimate of the Casimir force at short distances, and it solves the significant, so far unexplained discrepancy between measurements of the Casimir force between rough surfaces and the results of perturbation theory. Furthermore, we illustrate the importance of our results in a technologically relevant situation.",
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Roughness correction to the Casimir force at short separations: Contact distance and extreme value statistics. / Broer, W.; Palasantzas, G.; Knoester, J.; Svetovoy, Vitaly.

In: Physical review B: Condensed matter and materials physics, Vol. 85, No. 15, 05.04.2012, p. 155410.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Roughness correction to the Casimir force at short separations: Contact distance and extreme value statistics

AU - Broer, W.

AU - Palasantzas, G.

AU - Knoester, J.

AU - Svetovoy, Vitaly

N1 - eemcs-eprint-22446

PY - 2012/4/5

Y1 - 2012/4/5

N2 - So far there has been no reliable method to calculate the Casimir force at separations comparable to the root-mean square of the height fluctuations of the surfaces. Statistical analysis of rough gold samples has revealed the presence of peaks considerably higher than the root-mean-square roughness. These peaks redefine the minimum separation distance between the bodies and can be described by extreme value statistics. Here we show that the contribution of the high peaks to the Casimir force can be calculated with the proximity force approximation, while the contribution of asperities with normal height can be evaluated perturbatively. This method provides a reliable estimate of the Casimir force at short distances, and it solves the significant, so far unexplained discrepancy between measurements of the Casimir force between rough surfaces and the results of perturbation theory. Furthermore, we illustrate the importance of our results in a technologically relevant situation.

AB - So far there has been no reliable method to calculate the Casimir force at separations comparable to the root-mean square of the height fluctuations of the surfaces. Statistical analysis of rough gold samples has revealed the presence of peaks considerably higher than the root-mean-square roughness. These peaks redefine the minimum separation distance between the bodies and can be described by extreme value statistics. Here we show that the contribution of the high peaks to the Casimir force can be calculated with the proximity force approximation, while the contribution of asperities with normal height can be evaluated perturbatively. This method provides a reliable estimate of the Casimir force at short distances, and it solves the significant, so far unexplained discrepancy between measurements of the Casimir force between rough surfaces and the results of perturbation theory. Furthermore, we illustrate the importance of our results in a technologically relevant situation.

KW - EWI-22446

KW - IR-82189

KW - METIS-296130

U2 - 10.1103/PhysRevB.85.155410

DO - 10.1103/PhysRevB.85.155410

M3 - Article

VL - 85

SP - 155410

JO - Physical review B: Condensed matter and materials physics

JF - Physical review B: Condensed matter and materials physics

SN - 1098-0121

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