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Nonlinear slow magnetoacoustic waves in coronal plasma structures
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Afanasyev, A. N. and Nakariakov, V. M. (2015) Nonlinear slow magnetoacoustic waves in coronal plasma structures. Astronomy & Astrophysics, 573 . A32. doi:10.1051/0004-6361/201424516 ISSN 0004-6361.
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Official URL: http://dx.doi.org/10.1051/0004-6361/201424516
Abstract
Context.
There is abundant observational evidence of longitudinal waves in the plasma structures of the solar corona. These essentially compressive waves are confidently interpreted as slow magnetoacoustic waves. The use of the slow waves in plasma diagnostics and estimating their possible contribution to plasma heating and acceleration require detailed theoretical modelling.
Aims.
We investigate the role of obliqueness and magnetic effects in the evolution of slow magnetoacoustic waves, also called tube waves, in field-aligned plasma structures. Special attention is paid to the wave damping caused by nonlinear steepening.
Methods.
We considered an untwisted straight axisymmetric field-aligned plasma cylinder and analysed the behaviour of the slow magnetoacoustic waves that are guided by this plasma structure. We adopted a thin flux tube approximation. We took into account dissipation caused by viscosity, resistivity and thermal conduction, and nonlinearity. Effects of stratification and dispersion caused by the finite radius of the flux tube were neglected.
Results.
We derive the Burgers-type evolutionary equation for tube waves in a uniform plasma cylinder. Compared with a plane acoustic wave, the formation of shock fronts in tube waves is found to occur at a larger distance from the source. In addition, tube waves experience stronger damping. These effects are most pronounced in plasmas with the parameter β at about or greater than unity. In a low-β plasma, the evolution of tube waves can satisfactorily be described with the Burgers equation for plane acoustic waves.
Item Type: | Journal Article | ||||||||
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Subjects: | Q Science > QB Astronomy | ||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||||||
Library of Congress Subject Headings (LCSH): | Magnetohydrodynamics, Sun -- Corona -- Magnetic fields | ||||||||
Journal or Publication Title: | Astronomy & Astrophysics | ||||||||
Publisher: | EDP Sciences | ||||||||
ISSN: | 0004-6361 | ||||||||
Official Date: | January 2015 | ||||||||
Dates: |
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Volume: | 573 | ||||||||
Number of Pages: | 7 | ||||||||
Article Number: | A32 | ||||||||
DOI: | 10.1051/0004-6361/201424516 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||||
Date of first compliant deposit: | 25 April 2016 | ||||||||
Date of first compliant Open Access: | 25 April 2016 | ||||||||
Funder: | Seventh Framework Programme (European Commission) (FP7), Russia (Federation). Federal Agency of Scientific Organizations (FANO), European Research Council (ERC), Science and Technology Facilities Council (Great Britain) (STFC), Korea (South). Kyoyuk Kwahak Kisulbu [Ministry of Education, Science and Technology] (MEST), National Research Foundation of Korea (NRF), Rossiĭskiĭ fond fundamentalʹnykh issledovaniĭ [Russian Foundation for Basic Research] (RFBR) | ||||||||
Grant number: | 295272 (FP7), 01201281652 (FANO), 321141 (ERC), ST/L000733/1 (STFC), 13-02-00044 (RFBR) |
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