Dynamical motions of charged particles - Equilibrium conditions

Details Dynamical motions of charged particles - Equilibrium conditions Dynamical motions of charged particles - Equilibrium conditions

Dec 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981ap%26ss..80..477d&link_type=abstract

Astrophysics and Space Science, vol. 80, no. 2, Dec. 1981, p. 477-482.

Astronomy and Astrophysics

Astrophysics

1

Charged Particles, Equations Of Motion, Green'S Functions, Kinetic Equations, Particle Motion, Thermodynamic Equilibrium, Gravitational Fields, Harmonic Functions, Laplace Equation, Particle Interactions, Poisson Equation

Scientific paper

A new approach is presented to the problem of the equilibrium conditions of self-interacting massive charged particles. It is pointed out that the solution of the Laplace or Poisson equation in a finite volume with prescribed boundary conditions of the bounding surfaces can be obtained using Green's theorem and Green's functions regardless of whether there are charged particles inside. This solution makes it possible to choose an arbitrary harmonic or potential function inside the volume. The generalized concept of Green's functions suggests the possibility of defining these arbitrary harmonic or potential functions in order to generalize the well-known equilibrium conditions

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