Fluctuation-dissipation in accelerated frames

Abstract

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.

The para above Eq. (6) has been modified, to appear in Phys. Rev. D

References in corpus (7)

• Anomalies, Hawking Radiations and Regularity in Rotating Black Holes
• Lessons from Classical Gravity about the Quantum Structure of Spacetime
• Noether current from the surface term of gravitational action, Virasoro algebra and horizon entropy
• Einstein-Podolsky-Rosen correlations between two uniformly accelerated oscillators
• Stochastic Equations in Black Hole Backgrounds and Non-equilibrium Fluctuation Theorems
• Noncomutativity in near horizon symmetries in gravity
• Drift, Drag and Brownian motion in the Davies-Unruh bath

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• How robust is the indistinguishability between quantum fluctuation seen from non-inertial frame and real thermal bath
• Holding and transferring matter-wave solitons against gravity by spin-orbit-coupling tweezers
• Conformal Vacuum and Fluctuation-Dissipation in de-Sitter Universe and Black Hole Spacetimes
• Fluctuation-Dissipation relation from anomalous stress tensor and Hawking effect
• Unruh-DeWitt detector in presence of multiple scalar fields : A Toy Model