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

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 Charged particle motion around non-singular black holes in conformal gravity in the presence of external magnetic field

2020 ◽  
Vol 80 (11) ◽  
Author(s):  
Bakhtiyor Narzilloev ◽  
Javlon Rayimbaev ◽  
Ahmadjon Abdujabbarov ◽  
Cosimo Bambi
Keyword(s):  
Magnetic Field ◽  
Black Holes ◽  
Charged Particle ◽  
Black Hole Solution ◽  
Coupling Parameter ◽  
Magnetic Coupling ◽  
Analytic Solutions ◽  
Particle Dynamics ◽  
Conformal Gravity ◽  
Electric And Magnetic Fields

AbstractWe consider electromagnetic fields and charged particle dynamics around non-singular black holes in conformal gravity immersed in an external, asymptotically uniform magnetic field. First, we obtain analytic solutions of the electromagnetic field equation around rotating non-singular black holes in conformal gravity. We show that the radial components of the electric and magnetic fields increase with the increase of the parameters L and N of the black hole solution. Second, we study the dynamics of charged particles. We show that the increase of the values of the parameters L and N and of magnetic field causes a decrease in the radius of the innermost stable circular orbits (ISCO) and the magnetic coupling parameter can mimic the effect of conformal gravity giving the same ISCO radius up to $$\omega _{\mathrm{B}}\le 0.07$$ ω B ≤ 0.07 when $$N=3$$ N = 3 .

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