Abstract
Particle condensates in general magnetic mirror geometries in high-temperature plasmas may be caused by a discrete resonance with thermal ion-acoustic background noise near mirror points. The resonance breaks the bounce symmetry, temporally locking the particles to the resonant wavelength. The relevant correlation lengths are the Debye length in the parallel direction and the ion gyroradius in the perpendicular direction.
Highlights
The notion of condensate formation under high-temperature collisionless plasma conditions has come into use recently in relation to evolving structures known as mirror modes
The present note completes the theory by presenting the probable mechanism of condensate formation which in high-temperature plasmas to some extent is a surprise and possibly of farther reaching consequences showing that, under particular purely classical conditions, macroscopic effects similar to microscopic quantum states can arise and can be considered to resemble macroscopic quantum effects as they are subject to further affecting the dynamics
Single particle resonance near mirror points is a process which so far has been overlooked while possibly being capable of substantially changing the physics locally
Summary
The notion of condensate formation under high-temperature collisionless plasma conditions has come into use recently in relation to evolving structures known as mirror modes (cf., e.g., Refs. 1–3, for their linear theory). The self-consistent separate evolution of electron mirror modes, as observed in [4, 5] is important as it shows that they can evolve independently, on the ion mode completely separate from it [4] or inside it [5], both times on typical electron scales Their large amplitudes require conditions which go beyond linear theory and are not covered by the non-linear attempts hinted at above. At low temperatures near the Fermi boundary, condensate formation via Cooper–Schrieffer pairing of electrons, mediated by interaction with phonons, is at the heart of solidstate physics (cf., e.g., Ref. 15) where it leads to metallic superconductivity [16] Dilute plasmas at their high temperatures are already ideal conductors. Reference to pair formation is a possible secondary higher order effect though weakly contributing to condensate formation
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