scholarly journals Controlling the Nonlinear Relaxation of Quantized Propagating Magnons in Nanodevices

2021 ◽  
Vol 126 (9) ◽  
Author(s):  
M. Mohseni ◽  
Q. Wang ◽  
B. Heinz ◽  
M. Kewenig ◽  
M. Schneider ◽  
...  
Keyword(s):  
Nonlinear Relaxation

Diffusion limit of a Boltzmann–Poisson system with nonlinear equilibrium state

2019 ◽  
Vol 16 (01) ◽  
pp. 131-156
Author(s):  
Lanoir Addala ◽  
Mohamed Lazhar Tayeb
Keyword(s):  
Nonlinear Diffusion ◽  
Collision Operator ◽  
Nonlinear Diffusion Equation ◽  
One Dimension ◽  
Diffusion Limit ◽  
Poisson System ◽  
Nonlinear Relaxation ◽  
Contraction Property ◽  
Hilbert Expansion ◽  
Nonlinear Equilibrium

The diffusion approximation for a Boltzmann–Poisson system is studied. Nonlinear relaxation type collision operator is considered. A relative entropy is used to prove useful [Formula: see text]-estimates for the weak solutions of the scaled Boltzmann equation (coupled to Poisson) and to prove the convergence of the solution toward the solution of a nonlinear diffusion equation coupled to Poisson. In one dimension, a hybrid Hilbert expansion and the contraction property of the operator allow to exhibit a convergence rate.

scholarly journals High-Order Asymptotic-Preserving Methods for Fully Nonlinear Relaxation Problems

2014 ◽  
Vol 36 (2) ◽  
pp. A377-A395 ◽  
Author(s):  
Sebastiano Boscarino ◽  
Philippe G. LeFloch ◽  
Giovanni Russo
Keyword(s):  
High Order ◽  
Asymptotic Preserving ◽  
Fully Nonlinear ◽  
Nonlinear Relaxation

scholarly journals High-current electron beam nonlinear relaxation in plasma and electron acceleration

1988 ◽  
Vol 6 (3) ◽  
pp. 607-612
Author(s):  
D. M. Karfidov ◽  
N. A. Nikolov ◽  
P. N. Malinov ◽  
I. P. Trifonov
Keyword(s):  
Magnetic Field ◽  
Electron Beam ◽  
Beam Energy ◽  
Modulation Instability ◽  
Plasma Waves ◽  
High Current ◽  
High Current Electron Beam ◽  
Nonlinear Relaxation ◽  
Current Electron ◽  
High Current Electron

A nonlinear relaxation is observed when an electron beam interacts with plasma in an external magnetic field. An acceleration of electrons to energies which are more than twice that of the initial beam energy is observed. The acceleration mechanism is connected with the modulation instability of the plasma waves which is excited when the beam relaxes.

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