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Volumn 100, Issue 7, 2012, Pages

Material dependence of Casimir forces: Gradient expansion beyond proximity

Author keywords

[No Author keywords available]

Indexed keywords

AXIALLY SYMMETRIC; CASIMIR; CASIMIR FORCE; CASIMIR INTERACTIONS; CURVATURE CORRECTION; EXPLICIT EXPRESSIONS; FORCE GRADIENTS; MATERIAL SURFACE; PROXIMITY FORCE APPROXIMATION; ROOM TEMPERATURE; SHORT DISTANCES; TEMPERATURE DEPENDENCE;

EID: 84857285935     PISSN: 00036951     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3686903     Document Type: Article
Times cited : (129)

References (24)
  • 2
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    • (Cambridge University Press, Cambridge, England).
    • V. A. Parsegian, Van der Waals Forces (Cambridge University Press, Cambridge, England, 2005).
    • (2005) Van der Waals Forces
    • Parsegian, V.A.1
  • 5
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    • 10.1103/PhysRevD.74.045002
    • H. Gies and K. Klingmüller, Phys. Rev. D 74, 045002 (2006). 10.1103/PhysRevD.74.045002
    • (2006) Phys. Rev. D , vol.74 , pp. 045002
    • Gies, H.1    Klingmüller, K.2
  • 7
    • 0010461312 scopus 로고
    • 10.1007/BF01433225
    • B. Derjaguin, Kolloid Z. 69, 155 (1934). 10.1007/BF01433225
    • (1934) Kolloid Z. , vol.69 , pp. 155
    • Derjaguin, B.1
  • 9
    • 84857279684 scopus 로고    scopus 로고
    • The general case of two curved surfaces can always be reduced to this one, by exploiting the tilt invariance of the Casimir energy (Ref.).
    • The general case of two curved surfaces can always be reduced to this one, by exploiting the tilt invariance of the Casimir energy (Ref.).
  • 11
    • 84857307870 scopus 로고    scopus 로고
    • Casimir forces beyond the proximity approximation
    • e-print arXiv:1110.1082, (in print).
    • G. Bimonte, T. Emig, R. L. Jaffe, and M. Kardar, e-print arXiv:1110.1082, Casimir forces beyond the proximity approximation, Europhys. Lett. (in print).
    • Europhys. Lett.
    • Bimonte, G.1    Emig, T.2    Jaffe, R.L.3    Kardar, M.4
  • 12
    • 84857341391 scopus 로고    scopus 로고
    • To be precise, consider the one-parameter family of profiles H (x) = H ( x), [0, 1] possessing finite derivatives uto second order. For small , the leading term F PFA [H] in Eq. is generically of order 1 / 2 (for bi-directionally curved surfaces), while the first correction proportional to (∇ H) 2 is of order 0. Then, for the gradient expansion in Eq. to be valid, we must have (2) [H ] = o ( 0), where o (x n) denotes an infinitesimal of order higher than n, such that lim x → 0 o (x n) / x n = 0.
    • To be precise, consider the one-parameter family of profiles H (x) = H ( x), [0, 1] possessing finite derivatives up to second order. For small, the leading term F PFA [H] in Eq. is generically of order 1 / 2 (for bi-directionally curved surfaces), while the first correction proportional to (∇ H) 2 is of order 0. Then, for the gradient expansion in Eq. to be valid, we must have (2) [H ] = o ( 0), where o (x n) denotes an infinitesimal of order higher than n, such that lim x → 0 o (x n) / x n = 0.
  • 14
    • 84857259502 scopus 로고    scopus 로고
    • We normalize the waves k, Q as in Ref.. Note though that the choice of normalization is irrelevant for the purpose of evaluating the trace in Eq..
    • We normalize the waves k, Q as in Ref.. Note though that the choice of normalization is irrelevant for the purpose of evaluating the trace in Eq..
  • 15
    • 34250656213 scopus 로고
    • 10.1088/0959-7174/4/3/008
    • A. Voronovich, Waves Random Media 4, 337 (1994). 10.1088/0959-7174/4/3/ 008
    • (1994) Waves Random Media , vol.4 , pp. 337
    • Voronovich, A.1
  • 18
    • 84921916968 scopus 로고    scopus 로고
    • edited by M. Bordag, G. L. Klimchitskaya, U. Mohideen, and V. M. Mostepanenko (Oxford University Press, New York).
    • Advances in the Casimir Effect, edited by, M. Bordag, G. L. Klimchitskaya, U. Mohideen, and, V. M. Mostepanenko, (Oxford University Press, New York, 2009).
    • (2009) Advances in the Casimir Effect
  • 22
    • 66049134447 scopus 로고    scopus 로고
    • 10.1103/PhysRevA.79.042107
    • G. Bimonte, Phys. Rev. A 79, 042107 (2009). 10.1103/PhysRevA.79.042107
    • (2009) Phys. Rev. A , vol.79 , pp. 042107
    • Bimonte, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.