TY - JOUR

T1 - Plasma Equilibrium in Diamagnetic Trap with Neutral Beam Injection

AU - Khristo, Mikhail S.

AU - Beklemishev, Alexei D.

N1 - The first part of this work, devoted to the construction of the theoretical model (sections 2-6), was supported by the Foundation for the Advancement of Theoretical Physics and Mathematics ‘BASIS’. The second part of this work, devoted to the numerical simulations (sections 7 and 8), was supported by the Russian Science Foundation (Grant No. 24-12-00309).

PY - 2025/1/3

Y1 - 2025/1/3

N2 - This paper presents a theoretical model of plasma equilibrium in the diamagnetic confinement mode in an axisymmetric mirror device with neutral beam injection. The hot ionic component is described within the framework of the kinetic theory, since the Larmor radius of the injected ions appears to be comparable to or even larger than the characteristic scale of the magnetic field inhomogeneity. The electron drag of the hot ions is taken into account, while the angular scattering due to ion-ion collisions is neglected. The background warm plasma, on the contrary, is considered to be in local thermal equilibrium, i.e. has a Maxwellian distribution function and is described in terms of magnetohydrodynamics. The density of the hot ions is assumed to be negligible compared to that of the warm plasma. Both the conventional gas-dynamic loss and the non-adiabatic loss specific to the diamagnetic confinement mode are taken into account. In this work, we do not consider the effects of the warm plasma rotation as well as the inhomogeneity of the electrostatic potential. A self-consistent theoretical model of the plasma equilibrium is constructed. In the case of the cylindrical bubble, this model is reduced to a simpler one. The numerical solutions in the limit of a thin transition layer of the diamagnetic bubble are found. Examples of the equilibria corresponding to the GDMT device are considered.

AB - This paper presents a theoretical model of plasma equilibrium in the diamagnetic confinement mode in an axisymmetric mirror device with neutral beam injection. The hot ionic component is described within the framework of the kinetic theory, since the Larmor radius of the injected ions appears to be comparable to or even larger than the characteristic scale of the magnetic field inhomogeneity. The electron drag of the hot ions is taken into account, while the angular scattering due to ion-ion collisions is neglected. The background warm plasma, on the contrary, is considered to be in local thermal equilibrium, i.e. has a Maxwellian distribution function and is described in terms of magnetohydrodynamics. The density of the hot ions is assumed to be negligible compared to that of the warm plasma. Both the conventional gas-dynamic loss and the non-adiabatic loss specific to the diamagnetic confinement mode are taken into account. In this work, we do not consider the effects of the warm plasma rotation as well as the inhomogeneity of the electrostatic potential. A self-consistent theoretical model of the plasma equilibrium is constructed. In the case of the cylindrical bubble, this model is reduced to a simpler one. The numerical solutions in the limit of a thin transition layer of the diamagnetic bubble are found. Examples of the equilibria corresponding to the GDMT device are considered.

UR - http://arxiv.org/abs/2408.06792

UR - https://www.mendeley.com/catalogue/c48de067-f05c-3409-8a38-0683be44e83c/

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85216351602&origin=inward&txGid=757833169017e7a5244b64e41bec57a8

U2 - 10.1017/S0022377824001417

DO - 10.1017/S0022377824001417

M3 - Article

VL - 91

JO - Journal of Plasma Physics

JF - Journal of Plasma Physics

SN - 0022-3778

IS - 1

M1 - E3

ER -