Energy transfer in binary collisions of two gyrating charged particles in a magnetic field

Abstract

Binary collisions of the gyrating charged particles in an external magnetic field are considered within a classical second-order perturbation theory, i.e., up to contributions which are quadratic in the binary interaction, starting from the unperturbed helical motion of the particles. The calculations are done with the help of a binary collisions treatment which is valid for any strength of the magnetic field and involves all harmonics of the particles cyclotron motion. The energy transfer is explicitly calculated for a regularized and screened potential which is both of finite range and nonsingular at the origin. The validity of the perturbation treatment is evaluated by comparing with classical trajectory Monte Carlo (CTMC) calculations which also allow to investigate the strong collisions with large energy and velocity transfer at low velocities. For large initial velocities on the other hand, only small velocity transfers occur. There the nonperturbative numerical CTMC results agree excellently with the predictions of the perturbative treatment.

Temperature relaxation in a magnetized plasma

“…Relative velocities which exceed the thermal velocity lead to an asymmetric a-species screening. It has been shown, [22][23][24][25][26][27] however, that such a dynamic, highly asymmetric screening can be replaced with an effective spherically symmetric screening with a velocity-dependent a-species…”

“…The PT has been used to study e-i collisions in first order in the interaction for an ion at rest 32 and up to second order for a moving ion in order to calculate the energy loss and cooling force of the ions in magnetized plasmas. 23,26,27,[33][34][35][36] In the following, we will just make a brief introduction to the calculation process. For further details, see Ref.…”

Improved Shift-Operator FDTD Method for Anisotropic Magnetized Cold Plasmas With Arbitrary Magnetic Field Declination

“…An ion projectile stopping at a velocity smaller than the target electron thermal velocity in a strong magnetic field is studied thoroughly in [18]. However, these research in [16][17][18] centralize on the charged particles in magnetic field and there are no numerical EM-models and related numerical methods, so we want to find an effective numerical method to solve the EM-problems in anisotropic medium with arbitrary magnetic field declination.…”

“…The above FDTD methods have been mainly used to analyze EM problems for magnetized plasma where the external magnetic field direction is parallel to the direction of EM-wave propagation, which is a serious limitation. For many practical cases of interest, however, the angle between the external magnetic field direction and the direction of propagation is arbitrary [16][17][18]. In [16], the stopping power for arbitrary angle between the test particle velocity and magnetic field is investigated by using the longitudinal dielectric function derived for charged test particles in helical movement around magnetic field lines.…”

“…In [16], the stopping power for arbitrary angle between the test particle velocity and magnetic field is investigated by using the longitudinal dielectric function derived for charged test particles in helical movement around magnetic field lines. H. B. Nersisyan et al focus on the influence of a strong magnetic field with arbitrary angle of declination on the interactions between charged particles in a many-body system [17]. An ion projectile stopping at a velocity smaller than the target electron thermal velocity in a strong magnetic field is studied thoroughly in [18].…”