Abstract
The E x B guiding centre diffusion in three low-frequency 2D electrostatic waves is considered. It is shown that the stochastic GC diffusion can be explained and predicted with the help of the rules of the adiabatic theory of Hamiltonian systems i.e.: conservation of the canonical action except at separatrix crossing times; time evolution of the canonical action determined by the surfaces enclosed by the separatrices of the potential.. The probability distributions are calculated. Our demonstration applies at least for isotropically distributed wave vectors, very high Kubo number K and closed equipotentials. A statistical analysis of the dynamics shows that the GC motion is a spaced constrained random walk governed by a `complete trapping` scaling law for diffusion: D-bar(K) = K{sup 0}. This result is demonstrated both semi-analytically and numerically. (authors) 23 refs.
Reuss, J D;
Misguich, J;
[1]
Weyssow, B
[2]
- Association Euratom-CEA, CEA Cadarache, 13 - Saint-Paul-lez-Durance (France). Dept. de Recherches sur la Fusion Controlee
- Association Euratom-Etat Belge, Physique Statistique et Plasma, Universite Libre de Bruxelles (Belgium)
Citation Formats
Reuss, J D, Misguich, J, and Weyssow, B.
Separatrix crossing and large scale diffusion in low-frequency three-wave systems.
France: N. p.,
1998.
Web.
Reuss, J D, Misguich, J, & Weyssow, B.
Separatrix crossing and large scale diffusion in low-frequency three-wave systems.
France.
Reuss, J D, Misguich, J, and Weyssow, B.
1998.
"Separatrix crossing and large scale diffusion in low-frequency three-wave systems."
France.
@misc{etde_10147091,
title = {Separatrix crossing and large scale diffusion in low-frequency three-wave systems}
author = {Reuss, J D, Misguich, J, and Weyssow, B}
abstractNote = {The E x B guiding centre diffusion in three low-frequency 2D electrostatic waves is considered. It is shown that the stochastic GC diffusion can be explained and predicted with the help of the rules of the adiabatic theory of Hamiltonian systems i.e.: conservation of the canonical action except at separatrix crossing times; time evolution of the canonical action determined by the surfaces enclosed by the separatrices of the potential.. The probability distributions are calculated. Our demonstration applies at least for isotropically distributed wave vectors, very high Kubo number K and closed equipotentials. A statistical analysis of the dynamics shows that the GC motion is a spaced constrained random walk governed by a `complete trapping` scaling law for diffusion: D-bar(K) = K{sup 0}. This result is demonstrated both semi-analytically and numerically. (authors) 23 refs.}
place = {France}
year = {1998}
month = {Dec}
}
title = {Separatrix crossing and large scale diffusion in low-frequency three-wave systems}
author = {Reuss, J D, Misguich, J, and Weyssow, B}
abstractNote = {The E x B guiding centre diffusion in three low-frequency 2D electrostatic waves is considered. It is shown that the stochastic GC diffusion can be explained and predicted with the help of the rules of the adiabatic theory of Hamiltonian systems i.e.: conservation of the canonical action except at separatrix crossing times; time evolution of the canonical action determined by the surfaces enclosed by the separatrices of the potential.. The probability distributions are calculated. Our demonstration applies at least for isotropically distributed wave vectors, very high Kubo number K and closed equipotentials. A statistical analysis of the dynamics shows that the GC motion is a spaced constrained random walk governed by a `complete trapping` scaling law for diffusion: D-bar(K) = K{sup 0}. This result is demonstrated both semi-analytically and numerically. (authors) 23 refs.}
place = {France}
year = {1998}
month = {Dec}
}