New classes of exact solutions for magnetic reconnective annihilation

Tassi, Emanuele; Titov, V. S.; Hornig, G.

doi:10.1016/s0375-9601(03)01104-6

Cited by 2 publications

(1 citation statement)

References 13 publications

(27 reference statements)

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“…In the first place the system closes on neglecting second and higher moments, a fact which lies at the heart of all known analytic reconnection solutions for incompressible plasmas-and this includes 3D reconnection models 23,24 and solutions involving plane cylindrical coordinates with angular moments. 25,26 This result also has echoes in the local expansion involved in the finite time collapse of a compressible X-point plasma. 27 Second, if we proceed as below and limit attention to the "closed" moment system we find that the first order moments are autonomous, in the sense that they evolve independently of the behavior of the zeroth order fields.…”

Section: Appendix A: Moment Expansion Solutionsmentioning

confidence: 69%

Exact models for Hall current reconnection with axial guide fields

Craig

Watson

2005

Physics of Plasmas

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This paper employs an analytic reconnection model to investigate the conditions under which Hall currents can influence reconnection and Ohmic dissipation rates. It is first noted that time dependent magnetohydrodynamic systems can be analyzed by decomposing the magnetic and velocity fields into guide field and reconnecting field components. A formally exact solution shows that Hall currents can speed up or slow down the reconnection rate depending on the strength and orientation of the axial guide field. In particular, merging solutions are developed in which the axial guide field is the dominant driver of the reconnection. The extent to which Hall currents can alleviate the buildup of back pressures in flux pile-up reconnection models is also examined. The analysis shows that, although enhancements of the merging rate can be expected under certain conditions, it is unlikely that Hall currents can completely undo the fundamental pressure limitations associated with flux pile-up reconnection.

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Section: Appendix A: Moment Expansion Solutionsmentioning

confidence: 69%

Exact models for Hall current reconnection with axial guide fields

Craig

Watson

2005

Physics of Plasmas

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Dynamic accessibility of inflow and outflow reconnective solutions

2005

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An analysis of the accessibility properties of exact stationary solutions of the resistive magnetohydrodynamics equations is presented. The issue is raised of whether such solutions, which describe a particular type of magnetic reconnection, can be obtained as the final state of a time-dependent evolution of the magnetic- and velocity-field disturbances superimposed onto background fields possessing a null point. Numerical experiments indicate that, whereas for the solutions of inflow type with super-Alfvénic background flow the imposed boundary conditions are sufficient to determine the accessed steady-state solution, in the case of outflow solutions with sub-Alfvénic background flow the final steady-state turns out to depend on the initial disturbance as well. It is found that the directions of the characteristic curves of the evolution equations and an implicit condition on the vorticity at the stagnation point are responsible for this behavior. Implications for the maximum current density attained in the final state are discussed. An argument to explain the appearance of damped oscillations in the evolution of the disturbance fields for the outflow case, as opposed to the flux pileup characterizing the inflow case, is also provided.

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New classes of exact solutions for magnetic reconnective annihilation

Cited by 2 publications

References 13 publications

Exact models for Hall current reconnection with axial guide fields

Exact models for Hall current reconnection with axial guide fields

Dynamic accessibility of inflow and outflow reconnective solutions

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