2016/02/29 by Roumen Tsekov, R. Tsekov · 6 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Amplitude #Brownian motion #Brownian motor #Classical mechanics #Constant (computer programming) #Differential equation #Dissipation #Fluctuation-dissipation theorem #Fokker–Planck equation #Harmonic oscillator #Physics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications #Quantum electrodynamics #Quantum fluctuation #Quantum mechanics #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1142/s021947751650022x
published in Fluctuation and Noise Letters 15(04), 1650022 (World Scientific) · The paper is dedicated to the 75th anniversary of Boryan Radoev
arxiv created 2016/06/14 · openalex publication_date 2016/06/15 · arxiv updated 2016/06/17 · openalex created_date 2020/07/02 · openalex updated_date 2026/08/05
A Brownian harmonic oscillator, which dissipates energy either by friction or via emission of electromagnetic radiation, is considered. This Brownian emitter is driven by the surrounding thermo-quantum fluctuations, which are theoretically described by the fluctuation–dissipation theorem. It is shown how the Abraham–Lorentz force leads to dependence of the half-width on the peak frequency of the oscillator amplitude spectral density. It is found that for the case of a charged particle moving in vacuum at zero temperature, its root-mean-square velocity fluctuation is a universal constant, equal to roughly 1/18 of the speed of light. The relevant Fokker–Planck and Smoluchowski equations are also derived.