Baggaley Andrew W, Barenghi Carlo F, Shukurov Anvar, Subramanian Kandaswamy
School of Mathematics and Statistics, Newcastle University, Newcastle upon Tyne NE1 7RU, UK.
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Nov;80(5 Pt 2):055301. doi: 10.1103/PhysRevE.80.055301. Epub 2009 Nov 18.
We develop a model of the fluctuation dynamo in which the magnetic field is confined to thin flux ropes advected by a multiscale model of turbulence. Magnetic dissipation occurs only via reconnection of the flux ropes. This model can be viewed as an implementation of the asymptotic limit R_{m}-->infinity for a continuous magnetic field, where magnetic dissipation is strongly localized to small regions of strong-field gradients. We investigate the kinetic-energy release into heat mediated by the dynamo action, both in our model and by solving the induction equation with the same flow. We find that a flux-rope dynamo is an order of magnitude more efficient at converting mechanical energy into heat. The probability density of the magnetic energy release in reconnections has a power-law form with the slope -3 , consistent with the solar corona heating by nanoflares.
我们开发了一种波动发电机模型,其中磁场被限制在由多尺度湍流模型平流的细磁通绳中。磁耗散仅通过磁通绳的重联发生。该模型可被视为连续磁场渐近极限(R_{m}\to\infty)的一种实现,其中磁耗散强烈地局限于强场梯度的小区域。我们在我们的模型中以及通过用相同的流求解感应方程,研究了由发电机作用介导的动能向热的释放。我们发现磁通绳发电机在将机械能转化为热方面效率高一个数量级。重联中磁能释放的概率密度具有斜率为(-3)的幂律形式,这与纳米耀斑加热日冕一致。