Casimir
Effect / Energy / Force| Casimir
Effect / Energy / Force |
In General > s.a. quantum field
theory phenomenology [negative
energies];
vacuum.
* Idea: The QED prediction
that the vacuum is modified by the presence of boundaries, which has observable
effects; For example, two conducting uncharged
infinite parallel plates will feel an attractive force due to vacuum
fluctuations
of the field, since there are more possible zero-point fluctuations
outside the plates.
* Consequences: Tiny
as it is, the Casimir effect causes parts in nano- and microelectromechanical
systems (NEMS and MEMS) to stick together; Therefore, it confounds tabletop
experimental efforts to detect exotic new forces beyond those predicted by
Newtonian gravity and the Standard Model of particle physics.
* Calculation: One calculates
the stress tensor for the quantized electromagnetic field in the region of
interest.
* Value: For plate separation 1 micron, the force is 
13
N/m2.
@ Reviews, intros: Kleppner PT(90)oct;
Milton ht/98-in
[history], 01; Bordag et al PRP(01)qp;
Lambrecht pw(02)sep;
Milton JPA(04)ht [progress,
rev]; Nesterenko et al RNC(04)ht/05 [recent
results]; Klimchitskaya & Mostepanenko CP(06);
Farina BJP(06)ht;
Lamoreaux PT(07)feb;
Mostepanenko qp/07-in;
issue JPA(08)#16;
Milton a0809-in;
Pálová et al AJP(09)nov [condensed-matter perspective].
@ Reviews, measurements: Lamoreaux
qp/99, AJP(99)oct-RL;
Klimchitskaya
& Mostepanenko
CP(06)qp.
@ Related topics: Casimir PKNAW(48);
Sparnaay Phy(58);
Israelachvili & Tabor PRS(72);
Milonni PRA(82)
[without vacuum radiation field]; Plunien et al PRP(86);
Belinfante AJP(87)feb;
Elizalde NCB(89); Calucci JPA(92)
[moving bodies]; Mostepanenko & Trunov
97; Milton ht/99-in, ht/00;
Matloob PRA(99)
[conducting plates]; Herdegen
APPB(01)ht/00;
Milton PRD(03)ht/02 [validity];
Valeri & Scharf qp/05 [microscopic
theory]; Jaffe PRD(05)
[vacuum and forces between charges]; Milton et al ht/06-in
[Green function approach]; Bachas JPA(07)
[sign of force]; news pw(07)jul
[made repulsive by lens]; Milonni PS(07);
Kolomeisky & Straley a0807 [geometrical
interpretation].
Related Effects and Topics > s.a. casimir
effect in different types of systems; inertia; sound.
* At finite temperature:
2008, Different theoretical approaches lead to very different predictions
for the magnitude of the effect, and no consensus exists yet on the interpretation
of recent absolute measurements of the Casimir force.
* Scharnhorst effect:
The anomalous, faster than c propagation of photons in the Casimir
vacuum; > s.a. causality violations.
@ And boundary conditions: Ravndal hp/00-in;
Graham et al NPB(02), NPB(04)ht/03 [Dirichlet],
comment Milton JPA(04)ht-in;
Nesterenko ht/05-in
[at spatial infinity].
@ T dependence: Genet et al PRA(00);
Svetovoy & Lokhanin
PLA(01)qp;
Klimchitskaya & Mostepanenko PRA(01)qp;
Cheng JPA(02)
[rectangular cavity]; Brevik et al qp/03-in,
PRE(05)qp/04 [in
metals]; Høye et al qp/05;
Brevik & Aarseth JPA(06);
Brevik et al NJP(06)qp [T corrections];
Jáuregui et al AP(06)
[rectangular cavity]; Lamoreaux a0801;
Brevik & Milton PRE(08)-a0802;
Bimonte PRA(08)-a0807 [superconducting
cavity]; Bimonte a0903 [and Bohr-van Leeuwen theorem].
@ Measurements: Mohideen & Roy PRL(98)phy;
Roy et al PRD(99)qp;
Harris et al qp/00;
Bressi et al PRL(02)qp;
Chen et al PRA(04)qp [and
errors]; Lisanti et al PNAS(05)qp [skin
depth effect]; Klimchitskaya et al IJMPA(05),
JPA(06)in,
Chen et al IJMPA(05)
[and long-range gravity]; Krause et al PRL(07)
[beyond the proximity-force spproximation]; Obrecht et al PRL(07)
+ pn(07)feb
[T-dependence];
Munday & Capasso PRA(07)-a0705
+ pw(07)jun
[in a fluid]; Esquivel-Sirvent JAP-a0708
[reduction using aerogels];
Antonini et al JPCS(09)-a0812 [at
large distances].
@ Stress-energy tensor between plates: DeWitt in(79); Gibbons in(79);
> s.a. energy conditions.
@ Classical analog: Boersma AJP(96)may
[ships at sea]; news pw(08)jan
[critical Casimir effect].
@ Scharnhorst effect: Scharnhorst AdP(98)ht;
Liberati et al PRD(01)qp/00;
Barone & Farina PRD(05)ht/04 [2-parameter L];
> s.a. causality violations.
@ Casimir-Polder force: Dalvit et al PRL(08)
[between atom and corrugated surface]; Buhmann & Scheel PRL(08)-a0803 [vs
thermal Casimir force].
@ Radiative corrections: Kong & Ravndal PRL(97)qp; Melnikov
PRD(01).
@ Thermal corrections: Mitter & Robaschik EPJB(00)qp/99;
Mostepanenko et al qp/05-in
[rev]; Geyer et al IJMPA(06).
@ Other topics: Golestanian & Kardar PRL(97)qp [path-integral
formulation]; Hofmann et al EPJC(99)ht/98 [bag
model]; Feinberg et al AP(01)ht/99 [classical
limit];
Kenneth & Nussinov PRD(02)ht/99 [small-object
limit]; Hagen qp/01 [cutoff,
Lorentz invariant];
Avagyan et al PRD(02)ht [in
Fulling-Rindler vacuum]; Scardicchio & Jaffe
NPB(05), NPB(06)
[optical approach]; Gies & Klingmüller PRL(06)
[edge effects].
Dynamical Casimir Effect
* Idea:
Motion-induced photon creation from the quantum vacuum inside closed,
perfectly conducting cavities with time-dependent geometries;
Related to the Unruh effect; An example is the electromagnetic radiation
of moving gravitating bodies (> gravitating
matter).
@ General references: Schützhold et al PRA(98)qp [response
theory approach]; Dalvit & Mazzitelli PRA(98)qp/97 [renorm
group]; Golestanian & Kardar PRA(98)qp [path-integral
approach]; Plunien et al PRL(00)qp/99 [finite
T]; Fedotov et al JOB(05)
[instantaneous approximation]; Dalvit et al JPA(06)qp [different
geometries]; Haro & Elizalde PRL(06)ht,
PRD(07)-a0705 [Hamiltonian
approach]; Haro IJTP(07), IJTP(07)
[scalar fields]; > s.a. mirrors.
@ Related topics: Jaekel & Reynaud JdP(92)qp/01,
JdP(93)qp/01 [motional].
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send feedback and suggestions to bombelli at olemiss.edu – modified
7 nov 2009