Classical and quantummechanical treatments of the energy loss of charged particles in dilute plasmas
Abstract
We calculate the energy loss of charged particles in nondegenerate plasmas using classical and quantummechanical approximations. First we consider classical binary collisions between the test particle and the particles in the plasma, and obtain the energy transferred as a function of the relative velocity. This is integrated over the thermal distribution of plasmaparticle velocities using simple analytical approximations. Then we use the quantummechanical analysis of the scattering of partial waves to find the transport cross section for a screened potential, and introduce analytical approximations to calculate the phase shifts. The thermal average is also calculated analytically. The study yields simple expressions for the energy loss in terms of the velocity and charge of the particle and of the density and temperature of the plasma. In particular, we retrieve various results of previous authors, which apply as limiting cases in the classical or quantummechanical regimes. The transition between these cases is described by analytical expressions of excellent accuracy. The calculation is finally compared with experimental results from laboratory plasmas in the classical domain.
 Publication:

Physical Review A
 Pub Date:
 April 1984
 DOI:
 10.1103/PhysRevA.29.2145
 Bibcode:
 1984PhRvA..29.2145D
 Keywords:

 Charged Particles;
 Classical Mechanics;
 Energy Dissipation;
 PlasmaParticle Interactions;
 Quantum Mechanics;
 Electron Plasma;
 Particle Collisions;
 Plasma Temperature;
 Wave Scattering;
 Plasma Physics