Moving mirrors and the fluctuation-dissipation theorem

Stargen, D. Jaffino; Kothawala, Dawood; Sriramkumar, L.

doi:10.1103/physrevd.94.025040

Cited by 14 publications

(15 citation statements)

References 26 publications

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“…This is in contrast to the situation that was observed for a moving mirror in Minkowski spacetime when the velocity of the mirror is small; i.e. in the nonrelativistic limit [7,8]. However, this does not mimic gravity.…”

contrasting

confidence: 70%

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Fluctuation-dissipation relation in accelerated frames

et al. 2018

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An uniformly accelerated (Rindler) observer will detect particles in the Minkowski vacuum, known as Unruh effect. The spectrum is thermal and the temperature is given by that of the Killing horizon, which is proportional to the acceleration. Considering these particles are kept in a thermal bath with this temperature, we find that the correlation function of the random force due to radiation acting on the particles as measured by the accelerated frame, shows the fluctuation-dissipation relation. It is observed that the correlations, in both (1 + 1) spacetime and (1 + 3) dimensional spacetimes, are of Brownian type. We discuss the implications of this new observation at the end.

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contrasting

confidence: 70%

“…In the case of Brownian motion, it has been observed that the Fourier modes,K + (ω) andK − (ω), of these in the frequency domain are related by [7,18] …”

Section: Fluctuation-dissipationmentioning

confidence: 99%

Fluctuation-dissipation relation in accelerated frames

et al. 2018

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“…With the progress of these investigations of particle production, some authors have taken further initiatives to address a spontaneous question in this context that, "how these produced particles behave, with respect to the particular observer who is detecting their existence?" [21][22][23]. The authors of [21], have investigated the random motion of a moving mirror, which is immersed in a thermal bath of massless scalar particles.…”

Section: Contentsmentioning

confidence: 99%

“…[21][22][23]. The authors of [21], have investigated the random motion of a moving mirror, which is immersed in a thermal bath of massless scalar particles. They have calculated the mean radiation reaction force on the mirror as exerted by the scalar particles and the correlation function of the fluctuations in the force about the mean value.…”

Section: Contentsmentioning

confidence: 99%

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Conformal vacuum and the fluctuation-dissipation theorem in a de Sitter universe and black hole spacetimes

et al. 2019

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In the studies of quantum field theory in curved spacetime, the ambiguous concept of vacuum state and the particle content is a long-standing debatable aspect. So far it is well known to us that in the background of the curved spacetime, some privileged class of observers detect particle production in the suitably chosen vacuum states of the quantum matter fields. In this work we aim to study the characteristics behaviour of these produced particles in the background of the de-Sitter (dS) Friedmann-Lamaître-Robertson-Walker (FLRW) Universe (both for (1 + 1) and (3 + 1) dimensions) and (1 + 1)-dimensional Schwarzschild black hole (BH) spacetime, from the point of view of the respective privileged class of observers. Here the analysis is confined to the observers who perceive particle excitations in the conformal vacuum. We consider some test particles in the thermal bath of the produced particles and calculate the correlation function of the fluctuation of the random force as exerted by the produced quanta on the test particles. We obtain that the correlation function abides by the fluctuation-dissipation theorem, which in turn signifies that the test particles execute Brownian-like motion in the thermal bath of the produced quanta. 1

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On horizonless temperature with an accelerating mirror

Good

Yelshibekov

Ong

2017

J. High Energ. Phys.

111

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A new solution of a unitary moving mirror is found to produce finite energy and emit thermal radiation despite the absence of an acceleration horizon. In the limit that the mirror approaches the speed of light, the model corresponds to a black hole formed from the collapse of a null shell. For speeds less than light, the black hole correspondence, if it exists, is that of a remnant. 4 Note that there are two types of black hole remnant in the literature: the "long-lived" or "metastable" remnant, and the "eternal" remnant [31] . The former has lifetime much longer than that of a black hole, that is, proportional to M n where n > 3. An eternal remnant, on the other hand, lives forever. Our model corresponds to an eternal red-shifted scenario.5 Einstein's gravity is topological in (1+1)-dimensions, but with a suitable coupling to matter fields, gravity need not be trivial in (1+1)-dimensions. This allows one to study black hole evaporation. In our moving mirror model, of course, there is no gravity, only an accelerating mirror, so there is no complication either.

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Moving mirrors and the fluctuation-dissipation theorem

Cited by 14 publications

References 26 publications

Fluctuation-dissipation relation in accelerated frames

Fluctuation-dissipation relation in accelerated frames

Conformal vacuum and the fluctuation-dissipation theorem in a de Sitter universe and black hole spacetimes

On horizonless temperature with an accelerating mirror

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