scholarly journals A class of quadrature-based moment-closure methods with application to the Vlasov–Poisson–Fokker–Planck system in the high-field limit

2014 ◽  
Vol 262 ◽  
pp. 384-398 ◽  
Author(s):  
Yongtao Cheng ◽  
James A. Rossmanith
Keyword(s):  
High Field ◽  
Moment Closure ◽  
Field Limit ◽  
Fokker Planck

scholarly journals HIGH-FIELD LIMIT OF THE VLASOV–POISSON–FOKKER–PLANCK SYSTEM: A COMPARISON OF DIFFERENT PERTURBATION METHODS

2001 ◽  
Vol 11 (08) ◽  
pp. 1457-1468 ◽  
Author(s):  
LUIS L. BONILLA ◽  
JUAN S. SOLER
Keyword(s):  
High Field ◽  
Three Dimensions ◽  
Field Limit ◽  
One Dimensional ◽  
System A ◽  
Reduced Equations ◽  
Hilbert Expansion ◽  
The One ◽  
Different Order ◽  
Fokker Planck

A reduced drift-diffusion (Smoluchowski–Poisson) equation is found for the electric charge in the high-field limit of the Vlasov–Poisson–Fokker–Planck system, both in one and three dimensions. The corresponding electric field satisfies a Burgers equation. Three methods are compared in the one-dimensional case: Hilbert expansion, Chapman–Enskog procedure and closure of the hierarchy of equations for the moments of the probability density. Of these methods, only the Chapman–Enskog method is able to systematically yield reduced equations containing terms of different order.

scholarly journals Multidimensional high-field limit of the electrostatic Vlasov–Poisson–Fokker–Planck system

2005 ◽  
Vol 213 (2) ◽  
pp. 418-442 ◽  
Author(s):  
T. Goudon ◽  
J. Nieto ◽  
F. Poupaud ◽  
J. Soler
Keyword(s):  
High Field ◽  
Field Limit ◽  
Fokker Planck

High-Field Limit for the Vlasov-Poisson-Fokker-Planck System

2001 ◽  
Vol 158 (1) ◽  
pp. 29-59 ◽  
Author(s):  
Juan Nieto ◽  
Frédéric Poupaud ◽  
Juan Soler
Keyword(s):  
High Field ◽  
Field Limit ◽  
Fokker Planck

Fokker-Planck approach to nonlocal high-field transport

1997 ◽  
Vol 56 (9) ◽  
pp. 5328-5331 ◽  
Author(s):  
E. Bringuier
Keyword(s):  
High Field ◽  
Fokker Planck

Magnons in spin glasses: The high-field limit

1992 ◽  
Vol 46 (1) ◽  
pp. 223-230 ◽  
Author(s):  
I. Avgin ◽  
D. L. Huber ◽  
W. Y. Ching
Keyword(s):  
Spin Glasses ◽  
High Field ◽  
Field Limit

MAGNETO-OPTICAL ROTATION IN VERY HIGH FIELDS

1960 ◽  
Vol 38 (7) ◽  
pp. 941-944 ◽  
Author(s):  
Richard Stevenson
Keyword(s):  
Magnetic Field ◽  
High Field ◽  
Optical Rotation ◽  
Field Limit ◽  
Electron Theory ◽  
Important Data ◽  
Kerr Rotation ◽  
High Fields ◽  
The Magnetic Field ◽  
Very High

Magneto-optical rotation by transmission through or reflection from solids is examined by the classical free electron theory, with the view of taking such a measurement using fields in the megagauss range. In general the rotation is a markedly non-linear function of the magnetic field, and in some cases can change in sign as the field increases. For very low fields the rotation varies directly with B, but in the high field limit the rotation varies inversely with the field. For substances in which the intercollision time of the electron is small, measurements of the Kerr rotation (i.e. by reflection) will give the electron mobility as a function of the magnetic field, and thus will give important data which can be used in conjunction with high field magnetoresistance experiments.

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