Stability and mode analysis of solar coronal loops using thermodynamic irreversible energy principles: II. Modes in twisted non-isothermal magnetic field configurations

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Aims. We study the stability and modes of non - isothermal coronal loop models with different intensity values of equilibrium twisted magnetic field.Methods. We use an energy principle obtained by means of non - equilibrium thermodynamic arguments. The principle is expressed in terms of Hermitian op...

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Autores principales: Costa, A., González, R.
Formato: JOUR
Materias:
Sun: corona
Sun: magnetic fields
Sun: oscillations
Absorption
Energy efficiency
Equations of motion
Magnetic field measurement
Magnetic fields
Magnetic materials
Mathematical operators
Mechanisms
Solar energy
Thermodynamic stability
Thermodynamics
Coronal loops
Coupled systems
Critical values
Eigen-frequencies
Eigen-modes
Energy equation
Energy principles
Equation of motion
Equilibrium parameters
Helicity
Hermitian operators
Intensity values
Irreversible energy
Long wavelengths
Magnetic energies
Magnetic field configurations
Magnetic field strengths
Mode analysis
Non-equilibrium
Non-isothermal
Resonant absorption
Solar coronal loops
Stabilizing effects
System stability
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00046361_v489_n2_p755_Costa
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_00046361_v489_n2_p755_Costa2023-10-03T14:00:24Z Stability and mode analysis of solar coronal loops using thermodynamic irreversible energy principles: II. Modes in twisted non-isothermal magnetic field configurations Costa, A. González, R. Sun: corona Sun: magnetic fields Sun: oscillations Absorption Energy efficiency Equations of motion Magnetic field measurement Magnetic fields Magnetic materials Mathematical operators Mechanisms Solar energy Thermodynamic stability Thermodynamics Coronal loops Coupled systems Critical values Eigen-frequencies Eigen-modes Energy equation Energy principles Equation of motion Equilibrium parameters Helicity Hermitian operators Intensity values Irreversible energy Long wavelengths Magnetic energies Magnetic field configurations Magnetic field strengths Mode analysis Non-equilibrium Non-isothermal Resonant absorption Solar coronal loops Stabilizing effects Sun: corona Sun: magnetic fields Sun: oscillations System stability Aims. We study the stability and modes of non - isothermal coronal loop models with different intensity values of equilibrium twisted magnetic field.Methods. We use an energy principle obtained by means of non - equilibrium thermodynamic arguments. The principle is expressed in terms of Hermitian operators and enables us to consider the coupled system of equations, the balance of energy equation and the equation of motion, to obtain modes and eigenmodes in a spectrum ranging from short to long-wavelength disturbances without using weak varying approximations of the equilibrium parameters. Long-wavelength perturbations introduce additional difficulties because the inhomogeneous nature of the medium produce disturbances corresponding to continuous intervals of eigenfrequencies, which cannot be considered as purely sinusoidal.Results. We analyze the modification of periods, modes structure, and stability when the helicity, the magnetic field strength, and the radius of the fluxtube are varied. The efficiency of the damping due to the resonant absorption mechanism is analyzed in terms of modes that can either impulsively release or store magnetic energy.Conclusions. We find that the onset of the instability is associated with a critical value of the helicity and the magnetic energy content has a determinant role on the instability of the system with respect to the stabilizing effect of the resonant absorption mechanism. © 2008 ESO. Fil:González, R. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00046361_v489_n2_p755_Costa
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Sun: corona
Sun: magnetic fields
Sun: oscillations
Absorption
Energy efficiency
Equations of motion
Magnetic field measurement
Magnetic fields
Magnetic materials
Mathematical operators
Mechanisms
Solar energy
Thermodynamic stability
Thermodynamics
Coronal loops
Coupled systems
Critical values
Eigen-frequencies
Eigen-modes
Energy equation
Energy principles
Equation of motion
Equilibrium parameters
Helicity
Hermitian operators
Intensity values
Irreversible energy
Long wavelengths
Magnetic energies
Magnetic field configurations
Magnetic field strengths
Mode analysis
Non-equilibrium
Non-isothermal
Resonant absorption
Solar coronal loops
Stabilizing effects
Sun: corona
Sun: magnetic fields
Sun: oscillations
System stability
spellingShingle Sun: corona
Sun: magnetic fields
Sun: oscillations
Absorption
Energy efficiency
Equations of motion
Magnetic field measurement
Magnetic fields
Magnetic materials
Mathematical operators
Mechanisms
Solar energy
Thermodynamic stability
Thermodynamics
Coronal loops
Coupled systems
Critical values
Eigen-frequencies
Eigen-modes
Energy equation
Energy principles
Equation of motion
Equilibrium parameters
Helicity
Hermitian operators
Intensity values
Irreversible energy
Long wavelengths
Magnetic energies
Magnetic field configurations
Magnetic field strengths
Mode analysis
Non-equilibrium
Non-isothermal
Resonant absorption
Solar coronal loops
Stabilizing effects
Sun: corona
Sun: magnetic fields
Sun: oscillations
System stability
Costa, A.
González, R.
Stability and mode analysis of solar coronal loops using thermodynamic irreversible energy principles: II. Modes in twisted non-isothermal magnetic field configurations
topic_facet Sun: corona
Sun: magnetic fields
Sun: oscillations
Absorption
Energy efficiency
Equations of motion
Magnetic field measurement
Magnetic fields
Magnetic materials
Mathematical operators
Mechanisms
Solar energy
Thermodynamic stability
Thermodynamics
Coronal loops
Coupled systems
Critical values
Eigen-frequencies
Eigen-modes
Energy equation
Energy principles
Equation of motion
Equilibrium parameters
Helicity
Hermitian operators
Intensity values
Irreversible energy
Long wavelengths
Magnetic energies
Magnetic field configurations
Magnetic field strengths
Mode analysis
Non-equilibrium
Non-isothermal
Resonant absorption
Solar coronal loops
Stabilizing effects
Sun: corona
Sun: magnetic fields
Sun: oscillations
System stability
description Aims. We study the stability and modes of non - isothermal coronal loop models with different intensity values of equilibrium twisted magnetic field.Methods. We use an energy principle obtained by means of non - equilibrium thermodynamic arguments. The principle is expressed in terms of Hermitian operators and enables us to consider the coupled system of equations, the balance of energy equation and the equation of motion, to obtain modes and eigenmodes in a spectrum ranging from short to long-wavelength disturbances without using weak varying approximations of the equilibrium parameters. Long-wavelength perturbations introduce additional difficulties because the inhomogeneous nature of the medium produce disturbances corresponding to continuous intervals of eigenfrequencies, which cannot be considered as purely sinusoidal.Results. We analyze the modification of periods, modes structure, and stability when the helicity, the magnetic field strength, and the radius of the fluxtube are varied. The efficiency of the damping due to the resonant absorption mechanism is analyzed in terms of modes that can either impulsively release or store magnetic energy.Conclusions. We find that the onset of the instability is associated with a critical value of the helicity and the magnetic energy content has a determinant role on the instability of the system with respect to the stabilizing effect of the resonant absorption mechanism. © 2008 ESO.
format JOUR
author Costa, A.
González, R.
author_facet Costa, A.
González, R.
author_sort Costa, A.
title Stability and mode analysis of solar coronal loops using thermodynamic irreversible energy principles: II. Modes in twisted non-isothermal magnetic field configurations
title_short Stability and mode analysis of solar coronal loops using thermodynamic irreversible energy principles: II. Modes in twisted non-isothermal magnetic field configurations
title_full Stability and mode analysis of solar coronal loops using thermodynamic irreversible energy principles: II. Modes in twisted non-isothermal magnetic field configurations
title_fullStr Stability and mode analysis of solar coronal loops using thermodynamic irreversible energy principles: II. Modes in twisted non-isothermal magnetic field configurations
title_full_unstemmed Stability and mode analysis of solar coronal loops using thermodynamic irreversible energy principles: II. Modes in twisted non-isothermal magnetic field configurations
title_sort stability and mode analysis of solar coronal loops using thermodynamic irreversible energy principles: ii. modes in twisted non-isothermal magnetic field configurations
url http://hdl.handle.net/20.500.12110/paper_00046361_v489_n2_p755_Costa
work_keys_str_mv AT costaa stabilityandmodeanalysisofsolarcoronalloopsusingthermodynamicirreversibleenergyprinciplesiimodesintwistednonisothermalmagneticfieldconfigurations
AT gonzalezr stabilityandmodeanalysisofsolarcoronalloopsusingthermodynamicirreversibleenergyprinciplesiimodesintwistednonisothermalmagneticfieldconfigurations
_version_ 1782029373134602240

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