Kink oscillations of asymmetric coronal loops
The free oscillations of coronal loops with a constant density and a variable magnetic field changing according to parabolic laws are investigated. Using our developed method, we derive the wave equations with constant coefficients that describe the kink oscillations of symmetric and asymmetric magn...
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Veröffentlicht in: | Astronomy letters 2014-06, Vol.40 (6), p.372-381 |
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description | The free oscillations of coronal loops with a constant density and a variable magnetic field changing according to parabolic laws are investigated. Using our developed method, we derive the wave equations with constant coefficients that describe the kink oscillations of symmetric and asymmetric magnetic flux tubes. For such models, we obtain analytical expressions for the oscillation spectra and amplitudes as well as the magnitudes and directions of the displacements of the extrema of the fundamental and first modes relative to their values for homogeneous tubes. For the first mode of an asymmetric loop, we have determined the dependence of the coordinate displacement for the internal node on the ratios of the magnetic field strengths in its asymmetric parts and the ratio of the amplitudes at the extremum points. |
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S.</creator><creatorcontrib>Petrukhin, N. S.</creatorcontrib><description>The free oscillations of coronal loops with a constant density and a variable magnetic field changing according to parabolic laws are investigated. Using our developed method, we derive the wave equations with constant coefficients that describe the kink oscillations of symmetric and asymmetric magnetic flux tubes. For such models, we obtain analytical expressions for the oscillation spectra and amplitudes as well as the magnitudes and directions of the displacements of the extrema of the fundamental and first modes relative to their values for homogeneous tubes. For the first mode of an asymmetric loop, we have determined the dependence of the coordinate displacement for the internal node on the ratios of the magnetic field strengths in its asymmetric parts and the ratio of the amplitudes at the extremum points.</description><identifier>ISSN: 1063-7737</identifier><identifier>EISSN: 1562-6873</identifier><identifier>DOI: 10.1134/S1063773714060073</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Astronomy ; Astrophysics and Astroparticles ; Asymmetry ; Constants ; Corona ; Coronal loops ; Density ; Magnetic fields ; Mathematical models ; Observations and Techniques ; Oscillations ; Oscillators ; Physics ; Physics and Astronomy ; Tubes</subject><ispartof>Astronomy letters, 2014-06, Vol.40 (6), p.372-381</ispartof><rights>Pleiades Publishing, Inc. 2014</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c334t-b166638688c1289a86de4bbdf2ff308b7e18f132a79d86311234f321bf9870813</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1134/S1063773714060073$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S1063773714060073$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Petrukhin, N. 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For the first mode of an asymmetric loop, we have determined the dependence of the coordinate displacement for the internal node on the ratios of the magnetic field strengths in its asymmetric parts and the ratio of the amplitudes at the extremum points.</description><subject>Astronomy</subject><subject>Astrophysics and Astroparticles</subject><subject>Asymmetry</subject><subject>Constants</subject><subject>Corona</subject><subject>Coronal loops</subject><subject>Density</subject><subject>Magnetic fields</subject><subject>Mathematical models</subject><subject>Observations and Techniques</subject><subject>Oscillations</subject><subject>Oscillators</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Tubes</subject><issn>1063-7737</issn><issn>1562-6873</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNqFkE9LxDAQxYMouK5-AG8FL16qM5k2SY-y-A8XPKjnkmYT6do2a9I9-O1NWQ-iiMxhBt7vDTOPsVOEC0QqLp8QBElJEgsQAJL22AxLwXOhJO2nOcn5pB-yoxjXAFARwYzlD-3wlvlo2q7TY-uHmHmX6fjR93YMrcmMD37QXdZ5v4nH7MDpLtqTrz5nLzfXz4u7fPl4e7-4WuaGqBjzBoUQpIRSBrmqtBIrWzTNynHnCFQjLSqHxLWsVkoQIqfCEcfGVUqCQpqz893eTfDvWxvHum-jsenEwfptrFFIFMAxmf9Fy7KoCipLmdCzH-jab0N6bqJoKgSeKNxRJvgYg3X1JrS9Dh81Qj1lXf_KOnn4zhMTO7za8G3zn6ZP5ud86g</recordid><startdate>20140601</startdate><enddate>20140601</enddate><creator>Petrukhin, N. 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subjects | Astronomy Astrophysics and Astroparticles Asymmetry Constants Corona Coronal loops Density Magnetic fields Mathematical models Observations and Techniques Oscillations Oscillators Physics Physics and Astronomy Tubes |
title | Kink oscillations of asymmetric coronal loops |
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