2006/03/07 by G. W. Ford, R. F. O'Connell, R. F. O’Connell
Economics, Econometrics and Finance · Physics and Astronomy · #Anomalous diffusion #Brownian motion #Classical mechanics #Colors of noise #Complex Systems and Time Series Analysis #Context (archaeology) #Diffusion #Diffusion process #Dissipation #Noise (video) #Noise reduction #Physics #Quantum #Quantum mechanics #Statistical Mechanics and Entropy #Statistical physics #Wave packet #quant-ph #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physreva.73.032103
published as Phys. Rev. A 73, 032103 (2006)
openalex publication_date 2006/03/07 · arxiv created 2006/03/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Anomalous diffusion is discussed in the context of quantum Brownian motion with colored noise. It is shown that earlier results follow simply and directly from the fluctuation-dissipation theorem. The limits on the long-time dependence of anomalous diffusion are shown to be a consequence of the second law of thermodynamics. The special case of an electron interacting with the radiation field is discussed in detail. We apply our results to wave-packet spreading.