Journal article
A new analytic solution for 2nd-order Fermi acceleration
- 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.
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- Publisher copy:
- 10.1088/1475-7516/2011/12/010
Authors
- Journal:
- JCAP More from this journal
- Volume:
- 12
- Issue:
- 12
- Pages:
- 010
- Publication date:
- 2011-10-30
- DOI:
- EISSN:
-
1475-7516
- Keywords:
- Pubs id:
-
pubs:195099
- UUID:
-
uuid:09c3045f-ddb9-4f34-902e-d9fcc18c3781
- Local pid:
-
pubs:195099
- Source identifiers:
-
195099
- Deposit date:
-
2012-12-19
- ARK identifier:
Terms of use
- Copyright date:
- 2011
- Notes:
- 14 pages, 4 figures; comments and references added; to appear in JCAP
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