scholarly journals Error Estimates of Some Splitting Schemes for Charged-Particle Dynamics under Strong Magnetic Field

2021 ◽  
Vol 59 (4) ◽  
pp. 2075-2105
Author(s):  
Bin Wang ◽  
Xiaofei Zhao
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Strong Magnetic Field ◽  
Error Estimates ◽  
Particle Dynamics ◽  
Splitting Schemes

scholarly journals A filtered Boris algorithm for charged-particle dynamics in a strong magnetic field

2020 ◽  
Vol 144 (4) ◽  
pp. 787-809 ◽  
Author(s):  
Ernst Hairer ◽  
Christian Lubich ◽  
Bin Wang
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Strong Magnetic Field ◽  
Particle Dynamics

scholarly journals General formulas for adiabatic invariants in nearly periodic Hamiltonian systems

2020 ◽  
Vol 86 (6) ◽  
Author(s):  
J. W. Burby ◽  
J. Squire
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Hamiltonian System ◽  
Particle Dynamics ◽  
Adiabatic Invariant ◽  
Adiabatic Invariants ◽  
Coordinate Transformations ◽  
Popular Method ◽  
Field Lines ◽  
Periodic Hamiltonian System

While it is well known that every nearly periodic Hamiltonian system possesses an adiabatic invariant, extant methods for computing terms in the adiabatic invariant series are inefficient. The most popular method involves the heavy intermediate calculation of a non-unique near-identity coordinate transformation, even though the adiabatic invariant itself is a uniquely defined scalar. A less well-known method, developed by S. Omohundro, avoids calculating intermediate sequences of coordinate transformations but is also inefficient as it involves its own sequence of complex intermediate calculations. In order to improve the efficiency of future calculations of adiabatic invariants, we derive generally applicable, readily computable formulas for the first several terms in the adiabatic invariant series. To demonstrate the utility of these formulas, we apply them to charged-particle dynamics in a strong magnetic field and magnetic field-line dynamics when the field lines are nearly closed.

scholarly journals Remarkable charged particle dynamics near magnetic field null lines

2019 ◽  
Vol 29 (5) ◽  
pp. 051104
Author(s):  
Anatoly Neishtadt ◽  
Anton Artemyev ◽  
Dmitry Turaev
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Particle Dynamics
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