Longitudinal cooling force due to magnetized electrons

Pestrikov, D.V.

doi:10.1016/j.nima.2005.07.054

Cited by 2 publications

(3 citation statements)

References 4 publications

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“…( 34)) are very convenient for numerical calculations since they involve one-dimensional integrals with finite range. Similar expressions have been obtained by Pestrikov [39] where, however, the drag force involves an integral with infinite range. But up to the definition of the Coulomb logarithm (i.e., U = Λ(κ) in our case and U = U C in Ref.…”

Section: B Some Limiting Cases Of Eqs (18) and (19)supporting

confidence: 79%

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Cooling force on ions in a magnetized electron plasma

Nersisyan

Zwicknagel

2013

Phys. Rev. ST Accel. Beams

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Electron cooling is a well-established method to improve the phase space quality of ion beams in storage rings. In the common rest frame of the ion and the electron beam the ion is subjected to a drag force and it experiences a loss or a gain of energy which eventually reduces the energy spread of the ion beam. A calculation of this process is complicated as the electron velocity distribution is anisotropic and the cooling process takes place in a magnetic field which guides the electrons. In this paper the cooling force is calculated in a model of binary collisions (BC) between ions and magnetized electrons, in which the Coulomb interaction is treated up to second-order as a perturbation to the helical motion of the electrons. The calculations are done with the help of an improved BC theory which is uniformly valid for any strength of the magnetic field and where the second-order two-body forces are treated in the interaction in Fourier space without specifying the interaction potential. The cooling force 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. Closed expressions are derived for monochromatic electron beams, which are folded with the velocity distributions of the electrons and ions. The resulting cooling force is evaluated for anisotropic Maxwell velocity distributions of the electrons and ions.

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Section: B Some Limiting Cases Of Eqs (18) and (19)supporting

confidence: 79%

“…But up to the definition of the Coulomb logarithm (i.e., U = Λ(κ) in our case and U = U C in Ref. [39]) both expressions are identical. This can be easily shown after changing the variable ζ in (41)…”

Section: B Some Limiting Cases Of Eqs (18) and (19)mentioning

confidence: 72%

Cooling force on ions in a magnetized electron plasma

Nersisyan

Zwicknagel

2013

Phys. Rev. ST Accel. Beams

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“…Up to the definition of the Coulomb logarithm (i.e., U ¼ Λϰ ðÞ versus U ¼ U C ), the expressions are identical to those obtained by Pestrikov [59].…”

Section: Some Limiting Cases Of Eq (11)supporting

confidence: 55%

Stopping Power of Ions in a Magnetized Plasma: Binary Collision Formulatio

Nersisyan¹,

Zwicknagel²,

Deutsch³

2019

Plasma Science and Technology - Basic Fundamentals and Modern Applications

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In this chapter, we investigate the stopping power of an ion in a magnetized electron plasma in a model of binary collisions (BCs) between ions and magnetized electrons, in which the two-body interaction is treated up to the second order as a perturbation to the helical motion of the electrons. This improved BC theory is uniformly valid for any strength of the magnetic field and is derived for two-body forces which are treated in Fourier space without specifying the interaction potential. The stopping power 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. Closed expressions for the stopping power are derived for monoenergetic electrons, which are then folded with an isotropic Maxwell velocity distribution of the electrons. The accuracy and validity of the present model have been studied by comparisons with the classical trajectory Monte Carlo numerical simulations.

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Longitudinal cooling force due to magnetized electrons

Cited by 2 publications

References 4 publications

Cooling force on ions in a magnetized electron plasma

Cooling force on ions in a magnetized electron plasma

Stopping Power of Ions in a Magnetized Plasma: Binary Collision Formulatio

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