Hamiltonian formulation of the second-order drift equations of motion

Details Hamiltonian formulation of the second-order drift equations of motion Hamiltonian formulation of the second-order drift equations of motion

Nov 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982zhpmr..36..318s&link_type=abstract

(ZHETF Pis'ma v Redaktsiiu, vol. 36, Nov. 5, 1982, p. 318-320) JETP Letters (ISSN 0021-3640), vol. 36, Nov. 5, 1982, p. 387-390.

Astronomy and Astrophysics

Astrophysics

1

Hamiltonian Functions, High Temperature Plasmas, Larmor Radius, Particle Motion, Plasma Drift, Astrophysics, Equations Of Motion

Scientific paper

An expression is derived for the Hamiltonian describing drift motion up to quadratic terms in the Larmor radius of a particle. Expressions for second-order drift are obtained in curvilinear coordinates which are naturally related to the magnetic field. The conservation of the longitudinal adiabatic invariant follows from the general theorems of mechanics in the Hamiltonian approach. This expression is of value in high-temperature plasma physics related to particle confinement in traps and in astrophysical applications.

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