Stability and mode analysis of solar coronal loops using thermodynamic irreversible energy principles
Aims. We study the modes and stability of non-isothermal coronal loop models with different intensity values of the equilibrium magnetic field. Methods. We use an energy principle obtained via non-equilibrium thermodynamic arguments. The principle is expressed in terms of Hermitian operators and all...
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paper:paper_00046361_v458_n3_p953_Costa2023-06-08T14:27:42Z Stability and mode analysis of solar coronal loops using thermodynamic irreversible energy principles Gonzalez, Rafael Standards Sun: corona Waves Continuous spectrum Corona Solar coronal loops Thermodynamic irreversible energy principles Magnetic fields Mathematical models Mathematical operators Spectrum analysis System stability Thermodynamics Solar radiation Aims. We study the modes and stability of non-isothermal coronal loop models with different intensity values of the equilibrium magnetic field. Methods. We use an energy principle obtained via non-equilibrium thermodynamic arguments. The principle is expressed in terms of Hermitian operators and allow to consider together the coupled system of equations: the balance of energy equation and the equation of motion. Results. We determine modes characterized as long - wavelength disturbances that are present in inhomogeneous media. This character of the system introduces additional difficulties for the stability analysis because the inhomogeneous nature of the medium determines the structure of the disturbance, which is no longer sinusoidal. Moreover, another complication is that we obtain a continuous spectrum of stable modes in addition to the discrete one. Conclusions. We obtain a unique unstable mode with a characteristic time that is comparable with the characteristic life-time observed for loops. The feasibility of wave-based and flow-based models is examined. © ESO 2006. Fil:González, R. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2006 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00046361_v458_n3_p953_Costa http://hdl.handle.net/20.500.12110/paper_00046361_v458_n3_p953_Costa |
| institution |
Universidad de Buenos Aires |
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I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Standards Sun: corona Waves Continuous spectrum Corona Solar coronal loops Thermodynamic irreversible energy principles Magnetic fields Mathematical models Mathematical operators Spectrum analysis System stability Thermodynamics Solar radiation |
| spellingShingle |
Standards Sun: corona Waves Continuous spectrum Corona Solar coronal loops Thermodynamic irreversible energy principles Magnetic fields Mathematical models Mathematical operators Spectrum analysis System stability Thermodynamics Solar radiation Gonzalez, Rafael Stability and mode analysis of solar coronal loops using thermodynamic irreversible energy principles |
| topic_facet |
Standards Sun: corona Waves Continuous spectrum Corona Solar coronal loops Thermodynamic irreversible energy principles Magnetic fields Mathematical models Mathematical operators Spectrum analysis System stability Thermodynamics Solar radiation |
| description |
Aims. We study the modes and stability of non-isothermal coronal loop models with different intensity values of the equilibrium magnetic field. Methods. We use an energy principle obtained via non-equilibrium thermodynamic arguments. The principle is expressed in terms of Hermitian operators and allow to consider together the coupled system of equations: the balance of energy equation and the equation of motion. Results. We determine modes characterized as long - wavelength disturbances that are present in inhomogeneous media. This character of the system introduces additional difficulties for the stability analysis because the inhomogeneous nature of the medium determines the structure of the disturbance, which is no longer sinusoidal. Moreover, another complication is that we obtain a continuous spectrum of stable modes in addition to the discrete one. Conclusions. We obtain a unique unstable mode with a characteristic time that is comparable with the characteristic life-time observed for loops. The feasibility of wave-based and flow-based models is examined. © ESO 2006. |
| author |
Gonzalez, Rafael |
| author_facet |
Gonzalez, Rafael |
| author_sort |
Gonzalez, Rafael |
| title |
Stability and mode analysis of solar coronal loops using thermodynamic irreversible energy principles |
| title_short |
Stability and mode analysis of solar coronal loops using thermodynamic irreversible energy principles |
| title_full |
Stability and mode analysis of solar coronal loops using thermodynamic irreversible energy principles |
| title_fullStr |
Stability and mode analysis of solar coronal loops using thermodynamic irreversible energy principles |
| title_full_unstemmed |
Stability and mode analysis of solar coronal loops using thermodynamic irreversible energy principles |
| title_sort |
stability and mode analysis of solar coronal loops using thermodynamic irreversible energy principles |
| publishDate |
2006 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00046361_v458_n3_p953_Costa http://hdl.handle.net/20.500.12110/paper_00046361_v458_n3_p953_Costa |
| work_keys_str_mv |
AT gonzalezrafael stabilityandmodeanalysisofsolarcoronalloopsusingthermodynamicirreversibleenergyprinciples |
| _version_ |
1768542624227000320 |