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Magnetic energy per particle in constant current density
KTH, School of Engineering Sciences (SCI), Mechanics.
2008 (English)In: Europhysics letters, ISSN 0295-5075, E-ISSN 1286-4854, Vol. 84, no 2Article in journal (Refereed) Published
Abstract [en]

We assume a constant current density in a homogeneous one-component plasma of infinite extent and calculate the resulting magnetic energy per particle. Our starting point is the conserved approximately relativistic (Darwin) energy for a system of electromagnetically interacting particles that arises from the neglect of radiation. For the idealized model of a homogeneous one-component plasma the energy only depends on the particle canonical momenta and the vector potential. The vector potential is then calculated in terms of the canonical momenta using recent theoretical advances and the plasma Hamiltonian is obtained. The result can be understood either as due to the energy lowering caused by the attraction of parallel currents or, alternatively, as due to the inductive inertia associated with the flow of net current.

Place, publisher, year, edition, pages
2008. Vol. 84, no 2
Keyword [en]
phase-space energy, relativistic plasma, charged-particles, radiation, fields, matter
URN: urn:nbn:se:kth:diva-18195DOI: 10.1209/0295-5075/84/20011ISI: 000263598500011ScopusID: 2-s2.0-79051470199OAI: diva2:336241
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2011-01-19Bibliographically approved

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Essén, Hanno
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