dorsal/arxiv
View SchemaElectron-ion binary collisions in the presence of a magnetic field
| Authors | Hrachya B. Nersisyan |
|---|---|
| Categories | |
| ArXiv ID | physics/0611112 |
| URL | https://arxiv.org/abs/physics/0611112 |
Abstract
Binary collisions between ions and electrons in an external magnetic field are considered in second-order perturbation theory, starting from the unperturbed helical motion of the electrons. The calculations are done with the help of an improved BC which is uniformly valid for any strength of the magnetic field and the second-order energy and velocity transfers are treated in the interaction in Fourier space without specifying the interaction potential. The energy transfer is explicitly calculated for a regularized and screened potential which is both of finite range and less singular than the Coulomb interaction at the origin and as the limiting cases involves the Debye (i.e., screened) and Coulomb potentials. Two particular cases are considered in detaile: (i) Ion motion parallel to the magnetic field with an arbitrary strength. The energy transfer involves all harmonics of the electron cyclotron motion. (ii) The ion arbitrary motion with respect to the strong magnetic field when the electron cyclotron radius is much smaller than other characteristic length scales (e.g., screening length, pitch of electron helix etc.). In the latter case the energy transfer receives two contributions which are responsible for the electron guiding center and cyclotron orbit perturbations.
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"abstract": "Binary collisions between ions and electrons in an external magnetic field\nare considered in second-order perturbation theory, starting from the\nunperturbed helical motion of the electrons. The calculations are done with the\nhelp of an improved BC which is uniformly valid for any strength of the\nmagnetic field and the second-order energy and velocity transfers are treated\nin the interaction in Fourier space without specifying the interaction\npotential. The energy transfer is explicitly calculated for a regularized and\nscreened potential which is both of finite range and less singular than the\nCoulomb interaction at the origin and as the limiting cases involves the Debye\n(i.e., screened) and Coulomb potentials. Two particular cases are considered in\ndetaile: (i) Ion motion parallel to the magnetic field with an arbitrary\nstrength. The energy transfer involves all harmonics of the electron cyclotron\nmotion. (ii) The ion arbitrary motion with respect to the strong magnetic field\nwhen the electron cyclotron radius is much smaller than other characteristic\nlength scales (e.g., screening length, pitch of electron helix etc.). In the\nlatter case the energy transfer receives two contributions which are\nresponsible for the electron guiding center and cyclotron orbit perturbations.",
"arxiv_id": "physics/0611112",
"authors": [
"Hrachya B. Nersisyan"
],
"categories": [
"physics.plasm-ph",
"physics.gen-ph"
],
"title": "Electron-ion binary collisions in the presence of a magnetic field",
"url": "https://arxiv.org/abs/physics/0611112"
},
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