Phase-space energy of charged particles with negligible radiation: Proof of spontaneous formation of magnetic structures and new effective forces

Details Phase-space energy of charged particles with negligible radiation: Proof of spontaneous formation of magnetic structures and new effective forces Phase-space energy of charged particles with negligible radiation: Proof of spontaneous formation of magnetic structures and new effective forces

Nov 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997phrve..56.5858e&link_type=abstract

Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), Volume 56, Issue 5, November 199

Physics

12

Thermodynamics Of Plasmas, Magnetic Properties, Mass Loss And Stellar Winds

Scientific paper

The phase-space energy of a system of charged particles in the negligible radiation (Darwin) nonrelativistic limit is derived. The usefulness of the second-order approximation to this Hamiltonian, previously found by the present author, is discussed and given a stronger theoretical foundation. As a result a typical length scale for magnetic structures is found. The virial theorem is then applied to the second-order Hamiltonian. Together with the assumption that magnetism is a first-order perturbation it proves that magnetic interaction lowers the energy of a plasma. This proves that net currents must flow in a plasma and a simple estimate indicates that the spontaneously forming magnetic structures are resistant to thermal disruption. The effective one-particle Hamiltonian implied by the second-order Hamiltonian is calculated. It predicts a new effective many-body force that accelerates charged particles near a large plasma. It is conjectured that this effective force could give a simpler explanation for stellar wind and other large scale plasma phenomena.

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