A new analytic solution for 2nd-order Fermi acceleration
arXiv:1110.6644 · doi:10.1088/1475-7516/2011/12/010
Abstract
A new analytic solution for 2nd-order Fermi acceleration is presented. In particular, we consider time-dependent rates for stochastic acceleration, diffusive and convective escape as well as adiabatic losses. The power law index q of the turbulence spectrum is unconstrained and can therefore account for Kolmogorov (q = 5/3) and Kraichnan (q = 3/2) turbulence, Bohm diffusion (q = 1) as well as the hard-sphere approximation (q = 2). This considerably improves beyond solutions known to date and will prove a useful tool for more realistic modelling of 2nd-order Fermi acceleration in a variety of astrophysical environments.
14 pages, 4 figures; comments and references added; to appear in JCAP
References in corpus (7)
- Compressible Turbulence in Galaxy Clusters: Physics and Stochastic Particle Re-acceleration
- Stochastic Acceleration and the Evolution of Spectral Distributions in SSC Sources: A Self Consistent Modeling of Blazars' Flares
- High-energy Particle Acceleration and Production of Ultra-high-energy Cosmic Rays in the Giant Lobes of Centaurus A
- Stochastic particle acceleration and synchrotron self--Compton radiation in TeV blazars
- Fermi gamma-ray `bubbles' from stochastic acceleration of electrons
- Time-Dependent Stochastic Particle Acceleration in Astrophysical Plasmas: Exact Solutions Including Momentum-Dependent Escape
- Unveiling the X-ray/TeV engine in Mkn 421
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