dorsal/arxiv
View SchemaTopological-Torsion and Topological-Spin as coherent structures in plasmas
| Authors | R. M. Kiehn |
|---|---|
| Categories | |
| ArXiv ID | physics/0102001 |
| URL | https://arxiv.org/abs/physics/0102001 |
Abstract
The PDE's of classical electromagnetism can be generated from two exterior differential systems that distinguish topologically the field intensities and potentials, F-dA= 0, from the field excitations and the charge current densities, J-dG = 0. The existence of potentials, A, leads to the independent 3-forms of T-Torsion = A^F and T-Spin = A^G. The exterior derivatives (divergences) of these 3-forms produce anomalies that define the two classic Poincare invariants. The closed integrals of these forms, when deformation invariants of frozen-in fields, define topological coherent structures in the plasma. Solutions when T-Torsion (T-Spin) is zero define transverse magnetic (electric) modes on topological grounds. When the divergence of T-Torsion is not zero there exists a classical mechanism for charge acceleration along the magnetic field lines producing symplectic plasma currents; large temperature gradients along the B field lines can act as a source of stellar plasma jets in neutron stars. In such circumstances, the Torsion vector is uniquely defined by conformal invariance of the Action potentials. Plasma currents in the direction of the Torsion vector leave both A^F and A^G conformally invariant, hence these fields are frozen-in even though the processes are thermodynamically irreversible. The decaying coherent and deformable topological structures associated with such frozen-in fields are persistent and observable artifacts, similar to wakes, that can appear in any plasma domain, such as that which surrounds stars.
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"abstract": "The PDE\u0027s of classical electromagnetism can be generated from two exterior\ndifferential systems that distinguish topologically the field intensities and\npotentials, F-dA= 0, from the field excitations and the charge current\ndensities, J-dG = 0. The existence of potentials, A, leads to the independent\n3-forms of T-Torsion = A^F and T-Spin = A^G. The exterior derivatives\n(divergences) of these 3-forms produce anomalies that define the two classic\nPoincare invariants. The closed integrals of these forms, when deformation\ninvariants of frozen-in fields, define topological coherent structures in the\nplasma. Solutions when T-Torsion (T-Spin) is zero define transverse magnetic\n(electric) modes on topological grounds. When the divergence of T-Torsion is\nnot zero there exists a classical mechanism for charge acceleration along the\nmagnetic field lines producing symplectic plasma currents; large temperature\ngradients along the B field lines can act as a source of stellar plasma jets in\nneutron stars. In such circumstances, the Torsion vector is uniquely defined by\nconformal invariance of the Action potentials. Plasma currents in the direction\nof the Torsion vector leave both A^F and A^G conformally invariant, hence these\nfields are frozen-in even though the processes are thermodynamically\nirreversible. The decaying coherent and deformable topological structures\nassociated with such frozen-in fields are persistent and observable artifacts,\nsimilar to wakes, that can appear in any plasma domain, such as that which\nsurrounds stars.",
"arxiv_id": "physics/0102001",
"authors": [
"R. M. Kiehn"
],
"categories": [
"physics.plasm-ph",
"physics.space-ph"
],
"title": "Topological-Torsion and Topological-Spin as coherent structures in plasmas",
"url": "https://arxiv.org/abs/physics/0102001"
},
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