Thermal property in Brownian motion of a particle coupled to vacuum fluctuations
arXiv:1403.5028 · doi:10.1103/PhysRevD.89.124028
Abstract
We investigate Brownian motions of a particle coupled to vacuum fluctuations of a quantum field. The Unruh effect predicts that an observer in an accelerated motion sees the Minkowski vacuum as thermally excited. This addresses the problem of whether a thermal property appears in a perturbative random motion of a particle in an accelerated motion due to the coupling or not. We revisit this problem by solving the equation of motion of a particle coupled to vacuum fluctuations including the radiation reaction force. We compute a Fourier integral for the variance of the random velocity in a rigorous manner. Similarly, we consider a particle coupled to vacuum fluctuations in de Sitter spacetime motivated by the argument that an observer in de Sitter spacetime sees the Bunch-Davies vacuum as a thermally excited state with the Gibbons-Hawking temperature. Our investigation clarifies the condition that the energy equipartition relation arises in the Brownian motions of a particle.
arXiv comment10 pages
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Cited by in corpus (4)
- Fluctuation and dissipation in de Sitter space
- Quantum radiation produced by a uniformly accelerating charged particle in thermal random motion
- Quantum radiation from a particle in an accelerated motion coupled to vacuum fluctuations
- Unruh effect in a real scalar field with the Higgs type potential on the de Sitter space