Abstract
The diffusive motion of charged particles in a stochastic magnetic field is investigated systematically in a model in which the statistics of both the collisions and the magnetic field are described by coloured noises characterized, respectively, by a finite correlation time and finite correlation lengths. An analytic solution is obtained for the basic nonlinear differential equation of the model..It describes asymptotically a pure diffusion process, in which the mean square displacement in the perpendicular direction, {Gamma}(t), grows proportionally to time (after a sufficiently long time). The corresponding diffusion coefficient scales like the fourth power of the magnetic fluctuation intensity. The values obtained are in very good agreement with experimental data in reverse-field pinch experiments. The present result contradicts earlier results predicting subdiffusive behaviour: {Gamma}(t) {approx} t{sup 1/2} or {Gamma}(t) {approx} t{sup 1/4}. The relation of these results to ours is discussed in detail.
Citation Formats
Balescu, R, Misguich, J H, and Nakach, R.
Diffusion of charged particles in a stochastic magnetic field.
France: N. p.,
1992.
Web.
Balescu, R, Misguich, J H, & Nakach, R.
Diffusion of charged particles in a stochastic magnetic field.
France.
Balescu, R, Misguich, J H, and Nakach, R.
1992.
"Diffusion of charged particles in a stochastic magnetic field."
France.
@misc{etde_10119864,
title = {Diffusion of charged particles in a stochastic magnetic field}
author = {Balescu, R, Misguich, J H, and Nakach, R}
abstractNote = {The diffusive motion of charged particles in a stochastic magnetic field is investigated systematically in a model in which the statistics of both the collisions and the magnetic field are described by coloured noises characterized, respectively, by a finite correlation time and finite correlation lengths. An analytic solution is obtained for the basic nonlinear differential equation of the model..It describes asymptotically a pure diffusion process, in which the mean square displacement in the perpendicular direction, {Gamma}(t), grows proportionally to time (after a sufficiently long time). The corresponding diffusion coefficient scales like the fourth power of the magnetic fluctuation intensity. The values obtained are in very good agreement with experimental data in reverse-field pinch experiments. The present result contradicts earlier results predicting subdiffusive behaviour: {Gamma}(t) {approx} t{sup 1/2} or {Gamma}(t) {approx} t{sup 1/4}. The relation of these results to ours is discussed in detail.}
place = {France}
year = {1992}
month = {Jul}
}
title = {Diffusion of charged particles in a stochastic magnetic field}
author = {Balescu, R, Misguich, J H, and Nakach, R}
abstractNote = {The diffusive motion of charged particles in a stochastic magnetic field is investigated systematically in a model in which the statistics of both the collisions and the magnetic field are described by coloured noises characterized, respectively, by a finite correlation time and finite correlation lengths. An analytic solution is obtained for the basic nonlinear differential equation of the model..It describes asymptotically a pure diffusion process, in which the mean square displacement in the perpendicular direction, {Gamma}(t), grows proportionally to time (after a sufficiently long time). The corresponding diffusion coefficient scales like the fourth power of the magnetic fluctuation intensity. The values obtained are in very good agreement with experimental data in reverse-field pinch experiments. The present result contradicts earlier results predicting subdiffusive behaviour: {Gamma}(t) {approx} t{sup 1/2} or {Gamma}(t) {approx} t{sup 1/4}. The relation of these results to ours is discussed in detail.}
place = {France}
year = {1992}
month = {Jul}
}