Abstract
Mirror modes in collisionless high-temperature plasmas represent macroscopic high-temperature quasi-superconductors with bouncing electrons in discrete-particle resonance with thermal ion-sound noise contributing to the ion-mode growth beyond quasilinear stability. In the semi-classical Ginzburg-Landau approximation the conditions for phase transition are reviewed. The quasi-superconducting state is of second kind causing a magnetically perforated plasma texture. Focussing on the interaction of mirror bubbles we apply semi-classical Josephson conditions and show that a mirror perforated plasma emits weak electromagnetic radiation which in the magnetosheath should be in the sub-millimeter, respectively, infrared range. This effect might be of astrophysical importance.
Highlights
It causes the plasma to become magnetically perforated. This raises the question, investigated in this letter, in what way closely spaced mirror bubbles may interact, possibly producing identifiable effects other than localized diamagnetic field depletions. This second-kind superconducting phase transition (Ginzburg and Landau, 1950) is known from low temperature solid state physics (Bardeen et al, 1957; Callaway, 1990), evolving Meissner diamagnetism based on electron pairing and condensation that pushes the magnetic field locally out
The physical meaning is that the discrete resonant-electron condensate causes macroscopic diamagnetism which substantially diminishes the magnetic field locally
Following earlier work on condensate formation in magnetic mirror modes we have provided the conditions for a quasisuperconducting phase transition in high temperature plasma, following the linear mirror instability
Summary
The mirror mode (Chandrasekhar, 1961; Vedenov et al, 1961; Hasegawa, 1969; Davidson, 1972; Hasegawa, 1975; Gary, 1993; Southwood and Kivelson, 1993; Kivelson and Southwood, 1996; Pokhotelov et al, 2000; Pokhotelov et al, 2001; Constantinescu, 2002; Pokhotelov et al, 2002; Constantinescu et al, 2003; Pokhotelov et al, 2004; Sulem, 2011; Rincon et al, 2015; Noreen et al, 2017; Yoon, 2017) which, in high temperature plasma, evolves under anisotropic Ai Pi⊥/Pi − 1 > 0 pressure conditions, can be interpreted as a phase transition from (unstable) normal to a (stationary) second-kind quasi-superconducting state (Treumann and Baumjohann, 2019; Treumann and Baumjohann, 2020). It causes the plasma to become magnetically perforated This raises the question, investigated in this letter, in what way closely spaced mirror bubbles may interact, possibly producing identifiable effects other than localized diamagnetic field depletions. This second-kind superconducting phase transition (Ginzburg and Landau, 1950) is known from low temperature solid state physics (Bardeen et al, 1957; Callaway, 1990), evolving Meissner diamagnetism based on electron pairing and condensation that pushes the magnetic field locally out.
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