TY - JOUR
T1 - On the transport of charged particles in turbulent fields
T2 - Comparison of an exact solution with the quasilinear approximation
AU - Jokipii, J. R.
AU - Lerche, I.
N1 - Copyright:
Copyright 2007 Elsevier B.V., All rights reserved.
PY - 1973
Y1 - 1973
N2 - The problem of charged-particle transport in a magnetic field which is solely a function of time is solved. The solution is obtained exactly, to all orders in the field, in the limit of large wavelengths normal to the magnetic field. It is shown that the usual quasilinear, Fokker-Planck approximation is equal to the exact solution in the limit of times large compared with the correlation time of the fluctuating field. This is just the regime where the approximation has been used in the past, and this special case thus gives some support to the standard approximation techniques.
AB - The problem of charged-particle transport in a magnetic field which is solely a function of time is solved. The solution is obtained exactly, to all orders in the field, in the limit of large wavelengths normal to the magnetic field. It is shown that the usual quasilinear, Fokker-Planck approximation is equal to the exact solution in the limit of times large compared with the correlation time of the fluctuating field. This is just the regime where the approximation has been used in the past, and this special case thus gives some support to the standard approximation techniques.
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U2 - 10.1088/0032-1028/15/7/002
DO - 10.1088/0032-1028/15/7/002
M3 - Article
AN - SCOPUS:22244449088
VL - 15
SP - 619
EP - 625
JO - Plasma Physics and Controlled Fusion
JF - Plasma Physics and Controlled Fusion
SN - 0741-3335
IS - 7
M1 - 002
ER -