Fluctuations| Fluctuations |
In General > s.a. Extended
Objects.
@
General references: Pécseli 00; Botet & Ploszajczak 02.
@ In equilibrium statistical mechanics: Pitowsky SHPMP(01)
[and local observers]; Majka & Wislicki PhyA(03);
Kelly et al a0704-in
[in microcanonical ensemble]; > s.a. statistical
mechanics [large deviations].
@ In non-equilibrium statistical mechanics: Lavenda
JMP(80) [driven
systems].
Effects and Concepts > s.a. arrow
of time; dissipation; inertia;
modified statistical mechanics; vacuum.
* Fluctuation-dissipation
theorem: First proved by Callen & Welton in 1951; When a large particle
moves through a sea of small particles, on the microscale all particle collisions
are elastic;
On the macroscale, where only the large particle is properly resolved, dissipative
forces and fluctuating random forces are observed; The fluctuation-dissipation
theorem describes how these forces are connected.
@ Fluctuation-dissipation theorem: Kurchan JPA(98)
[for stochastic dynamics]; Grassia AJP(01)feb
[micro-macrophysics relationship]; Raine EJP(05)
[and friction]; Báez & Sánchez PhyA(07)
[for metastable states]; Marini et al PRP(08)
[rev]; Branchina et al a0906 [and
harmonic oscillators]; Baiesi et al PRL(09)
[non-equilibrium states]; McComb JPA(09)
[turbulence]; > s.a. semiclassical
general relativity; Spontaneous
Emission.
@ Fluctuation-dissipation theorem, violation: Crisanti & Ritort JPA(03)
[glassy systems]; Bai PhyA(09)
[generalized Langevin equation].
@ Related topics: Callen & Welton PR(51)
[generalized resistance and irreversibility];
Narnhofer FPL(04)
[fluctuation algebra for mean-field theories];
Wang CSF(05)
[non-quantum uncertainty relations].
Specific Theories and Systems > s.a. gas; networks;
non-equilibrium thermodynamics.
@ Fluids: Martynov TMP(04) [statistical theory]; Bertini et al PRL(05)
[current fluctuations in lattice gases].
@ Field theories: Cohen-Tannoudji PS(86) [atoms and radiative processes];
Tywoniuk & Ravndal qp/04 [scalar
between parallel plates]; Bimonte & Santamato PRA(07)-a0706 [electromagnetic
fluctuations near a
surface].
@ Near critical points: Joubaud et al
PRL(08) [non-Gaussian fluctuations].
Quantum Fluctuations > s.a. quantum
statistical mechanics.
* And classical
ones: To check for quantum behavior, one can look for quantum coherence,
both in the measured correlation functions and in the measured power spectrum.
@ General references: Nelson PhyA(84);
Smolin CQG(86);
Cohen PLA(96)
[in terms of 
A
|
];
Rosu in(02)gq/00 [in
non-inertial frames]; Brustein & Oaknin PRD(03)ht/02 [classical
dynamics]; Kanenaga PLA(04)
[microcanonical origin]; Brustein & Yarom JSM(08)ht/05 [effect
of entanglement]; Khrennikov et al qp/06-in
[discussion]; > s.a.
radiation [pressure].
@ Quantum fluctuation-dissipation theorem: Hänggi & Ingold
Chaos(05)qp/04 [and
brownian motion]; > s.a. open systems.
@ Area scaling of bulk operators: Yarom & Brustein NPB(05)ht/04;
Brustein et al
PRD(04).
@ And statistical ones: Smolin IJTP(86)
[and quantum gravity, interpretation of quantum mechanics]; Anderson & Halliwell PRD(93)gq;
Danchev & Tonchev JPA(99)cm/98;
Budiyono qp/06;
Morgan AIP(07)qp/06
[quantum
field vs random field]; Berges & Gasenzer PRA(07)cm [for
cold Bose gases]; Budiyono a0704 [in
pilot-wave theory]; Ford & Svaiter a0809 [classical
fluid, and light scattering]; > s.a. modified
coherent states [thermal].
@ And statistical ones, in cosmology:
Lombardo & López PRD(05)gq [inflation,
in terms of influence functional]; > s.a. cosmological
constant, cosmological
perturbations, early-universe cosmology, matter
in quantum gravity [decoherence,
particle creation].
@ In QED: Kazakov JPA(07)-qp/06 [fluctuations
by charged particle
in external E field]; > s.a. neutron [electric dipole moment].
@ Other systems: Oaknin PRD(03)
[fermions, and classical paths];
Hartmann
et
al LMP(04)mp/03
[many-particle systems]; Ropotenko a0803 [black
holes, quantum vs thermodynamical
fluctuations]; > s.a. approaches
to quantum gravity, black-hole
entropy [corrections].
@ Related topics: Lodahl & Lagendijk PRL(05)qp/04 [transport
of quantum noise in random
media]; Ford IJTP(07)qp/06-in
[frequency spectrum and probability distribution]; > s.a. geometrical
phase [effect
of variance]; vacuum.
> In field theory and quantum
gravity: see quantum
field theory effects, in curved spacetime; quantum
spacetime; quantum-gravity phenomenology.
Phenomenology > s.a. phenomenology
of inflation; uncertainty.
@ References: Munday et al PRA(05)
[torque on birefringent plates].
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aug 2009