A new analytic solution for 2nd-order Fermi acceleration
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...
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| Format: | Journal article |
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2011
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| _version_ | 1826258273124220928 |
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| author | Mertsch, P |
| author_facet | Mertsch, P |
| author_sort | Mertsch, P |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-06T18:31:22Z |
| format | Journal article |
| id | oxford-uuid:09c3045f-ddb9-4f34-902e-d9fcc18c3781 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T18:31:22Z |
| publishDate | 2011 |
| record_format | dspace |
| spelling | oxford-uuid:09c3045f-ddb9-4f34-902e-d9fcc18c37812022-03-26T09:20:06ZA new analytic solution for 2nd-order Fermi accelerationJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:09c3045f-ddb9-4f34-902e-d9fcc18c3781Symplectic Elements at Oxford2011Mertsch, PA 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. |
| spellingShingle | Mertsch, P A new analytic solution for 2nd-order Fermi acceleration |
| title | A new analytic solution for 2nd-order Fermi acceleration |
| title_full | A new analytic solution for 2nd-order Fermi acceleration |
| title_fullStr | A new analytic solution for 2nd-order Fermi acceleration |
| title_full_unstemmed | A new analytic solution for 2nd-order Fermi acceleration |
| title_short | A new analytic solution for 2nd-order Fermi acceleration |
| title_sort | new analytic solution for 2nd order fermi acceleration |
| work_keys_str_mv | AT mertschp anewanalyticsolutionfor2ndorderfermiacceleration AT mertschp newanalyticsolutionfor2ndorderfermiacceleration |