用热力学不可逆能量原理II分析太阳日冕环的稳定性和模式。扭曲非等温磁场位形中的模
Stability and mode analysis of solar coronal loops using thermodynamic irreversible energy principles II. Modes in twisted non--isothermal magnetic field configurations
摘要:
本文利用由非平衡热力学参数得到的能量原理,研究了具有不同平衡扭曲磁场强度值的非等温冕环模型的稳定性和模式。该原则表示在埃尔米特运营商,并允许一起考虑耦合系统的方程:平衡的能量方程和运动的运动方程,以获得模式和本征模的频谱范围从短到长-波长的干扰,而不必使用弱变化的近似的平衡参数。长波长扰动引入额外的困难,因为介质的不均匀性决定了扰动导致连续的本征频率的间隔,不能被认为是纯粹的sinusoid.We分析的修改周期,模式结构和稳定性时的螺旋度,磁场强度和磁通管的半径变化。由于共振吸收机制的阻尼的效率进行了分析的上下文中的模式,可以冲动地释放或存储的磁能,我们发现的不稳定性的发病与螺旋度的临界值和磁能含量有一个决定性的作用,相对于共振吸收机制的稳定效果的系统的不稳定性。
英文摘要:
We study the stability and the modes of non -- isothermal coronal loop models with different intensity values of the equilibrium twisted magnetic field.We use an energy principle obtained via non -- equilibrium thermodynamic arguments. The principle is expressed in terms of Hermitian operators and allows to consider together 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 having to use weak varying approximations of the equilibrium parameters. Long--wavelength perturbations introduce additional difficulties because the inhomogeneous nature of the medium determines disturbances leading to continuous intervals of eigenfrequencies which cannot be considered as purely sinusoidal.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 a context of modes that can either impulsively release or storage magnetic energy.We find that the onset of the instability is associated to a critical value of the helicity and that 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.
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