Fluctuations| Fluctuations |
In General > s.a. Extended
Objects; Thermodynamic Limit.
@ General references: Pécseli 00;
Botet & Płoszajczak 02.
@ Equilibrium statistical mechanics: Pitowsky SHPMP(01) [and local observers];
Majka & Wislicki PhyA(03);
Kelly et al PhyA-a0704-conf [in a microcanonical ensemble];
Bravetti & López-Monsalvo JPA(15)-a1408 [and Sasaki geometry];
> s.a. statistical mechanics [large deviations].
@ Non-equilibrium systems:
Lavenda JMP(80) [driven systems];
Esposito et al RMP(09);
Bachmann et al JSP(10) [and current correlators];
Davydov JSP(11) [inequalities].
Effects and Concepts > s.a. arrow
of time; dissipation; inertia;
modified statistical mechanics; Relaxation;
vacuum.
* Fluctuation theorem: A key result
in statistical physics that quantifies the ratio of the probabilities of observing
entropy-producing and entropy-decreasing fluctuations in a system measured over a
finite volume and time span, in terms of the rate of entropy production in the system,
the measurement volume, and time.
* Fluctuation-dissipation theorem:
A result first proved by Callen & Welton in 1951; In its general form it applies
to both classical and quantum systems, and establishes a connection between the response
of an equilibrium system to a perturbation and the fluctuations associated with an
observable; For example, when a large particle moves through a sea of small particles,
on the microscale all particle collisions are elastic; Macroscopically only the large
particle is properly resolved, and dissipative forces and fluctuating random forces
are observed; The fluctuation-dissipation theorem describes how these forces are connected;
> s.a. Wikipedia.
@ Fluctuation theorem: Kurchan JPA(98) [for stochastic dynamics];
Esposito & Van den Broeck PRL(10) [three detailed fluctuation theorems];
Jakšić et al Nonlin(11)-a1009 [non-equilibrium systems];
Sahoo et al JPA(11) [simple models, and atypical trajectories];
Belushkin et al PRL(11) [and hydrodynamics];
García-García et al JSM(12)-a1111
[general approach with joint probability distributions];
Michel & Searles PRL(13) [for a small open subsystem within a large system];
Rahav & Jarzynski NJP(14) [non-equilibrium systems, from equilibrium fuctuations];
Funo et al in(18)-a1803 [quantum];
Rao & Esposito Ent(18)-a1807 [unified perspective on many fluctuation theorems];
Kwon & Kim PRX(19)-a1810 [quantum information theoretic viewpoint];
> s.a. Wikipedia page.
@ Fluctuation-dissipation theorem: 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];
McComb JPA(09) [turbulence];
Bochkov & Kuzovlev PU(15)-a1208 [rev, history];
Das & Frenkel MPLA(15)-a1502 [from unitarity of the S matrix];
Shimizu & Fujikura JSM(17)-a1610-conf [quantum violation];
Tsuji et al PRE(18)-a1612 [for out-of-time-order correlations];
Reggiani & Alfinito a1805 [and electrical noise];
> s.a. semiclassical general relativity; Spontaneous
Emission; Wikipedia page.
@ Fluctuation-dissipation theorem, non-equilibrium:
Baiesi et al PRL(09);
Maes JSP(14) [non-equilibrium baths];
Lippiello et al PRL(14) [heat production];
Komori et al PRD(18)-a1803 [steady-state conditions, and gravitational-wave detectors].
@ Fluctuation-dissipation theorem, violation:
Crisanti & Ritort JPA(03) [glassy systems];
Bai PhyA(09) [generalized Langevin equation];
Komatsu et al PRL(11) [observation, in a superspin glass].
@ Classical uncertainty relations:
Wang CSF(05);
Torrents et al a1112 [small lattice systems, numerical].
@ Related topics: Callen & Welton PR(51)
[generalized resistance and irreversibility];
Narnhofer FPL(04) [fluctuation algebra for mean-field theories];
Velazquez JPA(12) [fluctuation geometry];
Chen-Lin et al PRL(19)-a1811 [theory of diffusive fluctuations];
> s.a. interactions [fluctuation-induced interactions].
Specific Theories and Systems > s.a. black-hole
perturbations; gas; networks;
semiclassical gravity.
@ 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 field theory [conceptual];
quantum statistical mechanics; sub-quantum theories;
uncertainty relations.
* 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 \(\langle\)Aψ | ψ\(\rangle\)];
Reynaud et al ed-97;
Rosu in(02)gq/00 [in non-inertial frames];
Kanenaga PLA(04) [microcanonical origin];
Brustein & Yarom JSM(08)ht/05 [effect of entanglement];
Khrennikov et al AIP-qp/06 [discussion];
Campisi et al RMP(11)-a1012 [quantum fluctuation relations, self-contained];
Campisi NJP(13) [for ensembles of wave functions];
Peliti & Muratore-Ginanneschi a2006 [and Brownian motion, Fürth's 1933 paper];
Gherardini et al a2006 [role of coherence];
> s.a. radiation [pressure].
@ Dynamics: Brustein & Oaknin PRD(03)ht/02 [classical dynamics];
Chen et al PRA(14)-a1405 [dynamics far from equilibrium];
Benatti et al AdP(15)-a1510 [dissipative dynamics].
@ Quantum fluctuation-dissipation theorem:
Hänggi & Ingold Chaos(05)qp/04 [and brownian motion];
Pagel et al NJP(13) [harmonic systems in non-thermal environments];
Åberg PRX(18)-a1601 [fully quantum];
Tsuji & Ueda a1807;
Zhang et al a2101 [systems far from equilibrium];
> 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/06v1;
Morgan AIP(07)qp/06 [quantum field vs random field];
Berges & Gasenzer PRA(07)cm [for cold Bose gases];
Budiyono a0704v1 [in pilot-wave theory];
Ford & Svaiter PRL(09)-a0809 [classical fluid, and light scattering];
Stimming et al PRL(10)-a0910 [1D many-body quantum system];
Denur AJP(10)nov [and the time-energy uncertainty relation];
Budiyono a1012,
PhyA(12)-a1103;
Campo et al PRA(12) [optical-lattice fermions];
Kolekar & Padmanabhan CQG(15)-a1308 [indistinguishability from thermal fluctuations];
Bauer & Bernard LMP(14) [thermally-activated quantum jumps];
Schönhammer AJP(14)sep-a2008 [chain of harmonic oscillators];
> s.a. casimir effect [thermal];
modified coherent states [thermal].
@ In specific types of systems:
Benatti et al JPA(17)-a1708 [mesoscopic systems].
@ Related topics: Lodahl & Lagendijk PRL(05)qp/04 [transport of quantum noise in random media];
Ford IJTP(07)qp/06-proc [frequency spectrum and probability distribution];
Rodriguez a1201 [and non-locality];
> s.a. entropy [entropic fluctuations];
geometrical phase [effect of variance].
> Consequences: see electricity
[contribution to resistance in a metal]; vacuum phenomenology [zero-point fuctuations].
Systems, Phenomenology > s.a. phenomenology
of inflation; phenomenology of uncertainty relations.
@ In cosmology: Lombardo & López PRD(05)gq [inflation, in terms of influence functional];
Colin & Valentini PRD(13)-a1306 [suppression at large scales in an expanding space];
> 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 a charged particle in an external electric field];
> s.a. neutron [electric dipole moment].
@ Fermion systems: Oaknin PRD(03) [and classical paths];
Westbrook Phy(10) [observation, and use as nK thermometer];
Sanner et al PRL(10) [suppression of density fluctuations].
@ Gravitational systems:
Ropotenko a0803 [black holes, quantum vs thermodynamical fluctuations];
> s.a. approaches to quantum gravity;
black-hole entropy [corrections]; quantum
spacetime; quantum-gravity phenomenology.
@ Other theories: Hartmann et al LMP(04)mp/03 [many-particle systems];
> s.a. quantum field theory effects, in curved spacetime.
@ Measurements: Safavi-Naeini et al PRL(12)
+ Clerk Phy(12),
news ns(12)jan [small silicon bar nanomechanical resonator];
Armijo PRL(12)
[observation of quantum phonon fluctuations in a 1D boson gas].
@ Related topics:
Munday et al PRA(05) [torque on birefringent plates];
Voronchev et al PRD(12) [in mirror coatings for gravitational-wave interferometers];
De Lorenci & Ford PRD(17)-a1609 [classical enhancement of vacuum fluctuations].
main page
– abbreviations
– journals – comments
– other sites – acknowledgements
send feedback and suggestions to bombelli at olemiss.edu – modified 26 may 2021