Magnetic Reconnection

Magnetic Reconnection

Definition

Magnetic Reconnection is a fundamental dynamical process (physical process) in highly conductive plasmas. In the process, magnetic field energy is converted to plasma kinetic and thermal energy. It occurs on timescales intermediate between slow resistive diffusion of the magnetic field and fast Alfvénic timescales.

Magnetic Reconnection is a violation of an approximate conservation law in plasma physics, called the Alfvén’s Theorem, and can concentrate mechanical or magnetic energy in both space and time. Solar flares, the largest explosions in the Solar System, may involve the reconnection of large systems of magnetic flux on the Sun, releasing, in minutes, energy that has been stored in the magnetic field over a period of hours to days. Magnetic reconnection in Earth’s magnetosphere is one of the mechanisms responsible for the aurora, and it is important to the science of controlled nuclear fusion because it is one mechanism preventing magnetic confinement of the fusion fuel.

Reconnection is at the heart of many spectacular events in our solar system. The Earth’s own magnetic field is constantly perturbed by the impinging field from the sun also called the solar wind. During strong bursts, such as those caused by extraordinary solar flares reconnection can be induced in the near-Earth magnetotail a narrow magnetic field structure located on the night side many Earth-radii away. The tenuous plasma in that region is then accelerated down magnetic field lines into the Polar Regions, striking Earth’s atmosphere and exciting nitrogen and oxygen atoms as well as other atoms present in our atmosphere. The immediate de-excitation of these atoms then emits the wonderful and often intricate display of light we know as the aurora or northern (and southern) lights.

 

The Sweet-Parker Model

At a conference in 1956, Peter Sweet pointed out that by pushing two plasmas with oppositely directed magnetic fields together, resistive diffusion is able to occur on a length scale much shorter than a typical equilibrium length scale. Eugene Parker was in attendance at this conference and developed scaling relations for this model during his return travel.

The Sweet-Parker model describes time-independent magnetic reconnection in the resistive MHD framework when the reconnecting magnetic fields are antiparallel (oppositely directed) and effects related to viscosity and compressibility is unimportant

Additionally, Sweet-Parker reconnection neglects three-dimensional effects, collisionless physics, time-dependent effects, viscosity, compressibility, and downstream pressure. Numerical simulations of two-dimensional magnetic reconnection typically show agreement with this model. Results from the Magnetic Reconnection Experiment (MRX) of collisional reconnection show agreement with a generalized Sweet-Parker model which incorporates compressibility, downstream pressure, and anomalous resistivity.

Stochastic Reconnection

Lazarian and Vishniac (1999) considered the magnetic reconnection in the presence of a random component of magnetic field in a totally ionized and inviscid plasma assuming that the resistive effects could be described with an Ohmic resistivity. For the turbulent flow in the reconnection region a model for magnetohydrodynamic turbulence should be used such as the model developed by Goldreich and Sridhar in 1995. One can imagine that within small scales of the turbulent flow, the Sweet-Parker model is applicable. Lazarian and Vishniac showed that, in general, this cannot affect the final result. In fact, their model is independent of small scale physics which determines the local reconnection rate.

 

Observations of Magnetic Reconnection

The Earth’s Magnetosphere and Solar Atmosphere –

The scale sizes of magnetic reconnection in the Earth’s magnetosphere, both on the dayside magnetopause and in the magnetotail. Cluster is a four-spacecraft mission, with the four spacecraft in a tetrahedron arrangement, to separate spatial from temporal changes as the suite flies through space. Cluster has now also unambiguously discovered ‘reverse reconnection’ near the polar cusps. ‘Dayside reconnection’ allows interconnection of the Earth’s magnetic field with that of the Sun, allowing particle and energy entry into the Earth’s vicinity. Tail reconnection allows release of energy stored in the Earth’s magnetic tail, injecting particles deep into the magnetosphere, causing auroral substorms.

It occurs during solar flares, coronal mass ejections, and many other events in the solar atmosphere. The observational evidence for solar flares includes observations of inflows/outflows, downflowing loops, and changes in the magnetic topology. In the past, observations of the solar atmosphere were done using remote imaging; consequently, the magnetic fields were inferred or extrapolated rather than observed directly.

Laboratory Plasma Experiments –

The process of magnetic reconnection has been studied in detail by dedicated laboratory experiments, such as the Magnetic Reconnection Experiment (MRX) at Princeton Plasma Physics Laboratory (PPPL). Experiments such as these have confirmed many aspects of magnetic reconnection, including the Sweet-Parker model in regimes where this model is applicable.

The confinement of plasma in devices such as tokamaks, spherical tokamaks, and reversed field pinches requires the presence of closed magnetic flux surfaces. By changing the magnetic topology, magnetic reconnection degrades confinement by disrupting these closed flux surfaces, allowing the hot central plasma to mix with cooler plasma closer to the wall.