Conceptual design of the ALIANCE-T mirror experiment

Yakovlev, D. V.; Chen, Zhibin; Bagryansky, P. A.; Bragin, A.A.; Kotelnikov, I. A.; Кузьмин, Е. В.; Prikhodko, V. V.; Shikhovtsev, I. V.; Usov, P. A.; Wang, Zhen; Zeng, Qiusun; Dong, Lijun; Zhang, Keqing; Ivanov, А.А.; Yu, Jie

doi:10.1088/1741-4326/ac5224

Cited by 9 publications

(5 citation statements)

References 29 publications

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“…This work was initiated in the framework of ALIANCE collaboration [55,[58][59][60][61][62] Special thanks to Alexey Beklemishev for discussing the conditions for the applicability of the LoDestro equation, Victor Ilgisonis for discussing the firehose instability threshold, Alexander Milshtein for discussing the properties of second-order ordinary differential equations with…”

Section: Acknowledgmentsmentioning

confidence: 99%

Wall stabilization of the rigid ballooning m = 1 mode in a long-thin mirror trap

Kotelnikov¹,

Prikhodko²,

Yakovlev³

et al. 2022

Nucl. Fusion

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The prospect of stabilization of the $m=1$ ``rigid'' ballooning mode in an open axially symmetric long-thin trap with the help of a conducting lateral wall surrounding a column of isotropic plasma is studied. It was found that for effective wall stabilization, the beta parameter $\beta$ must exceed some critical value $\beta_{\text{crit}}$. The dependence of $\beta_{\text{crit}}$ on the mirror ratio, radial pressure profile, axial profile of the vacuum magnetic field, and the width of vacuum gap between plasma and lateral wall was studied. Minimal critical beta at the level of $70\%$ is achieved at zero vacuum gap, although stability zone at $\beta \to 1$ exists even at extremely wide vacuum gap. It is shown that when a conducting lateral wall is combined with conducting end plates simulating attachment of the end MHD stabilizers to the central cell of an open trap, there are two critical beta values and two stability zones that can merge, making stable the entire range of allowable beta values $0<\beta<1$.

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Section: Acknowledgmentsmentioning

confidence: 99%

Wall stabilization of the rigid ballooning m = 1 mode in a long-thin mirror trap

Kotelnikov¹,

Prikhodko²,

Yakovlev³

et al. 2022

Nucl. Fusion

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“…This work has been done in the framework of ALIANCE collaboration [22][23][24][25][26][27] The authors are grateful to Dmitri Yakovlev for advice on the form of presenting calculation results and the choice of terms.…”

Section: Acknowledgmentsmentioning

confidence: 99%

Influence of the shape of a conducting chamber on the stability of rigid ballooning modes in a mirror trap

Zeng,

Kotelnikov

2024

Plasma Phys. Control. Fusion

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MHD stabilization of flute and ballooning modes in an axisymmetric mirror trap is studied under the assumption of a strong Finite Larmor Radius effect that suppresses all perturbations with azimuthal numbers m ≥ 2 and makes the m = 1 mode ‘rigid’. The rigid mode can be effectively suppressed using a perfectly conducting lateral wall without any additional means of stabilization or combined with end MHD anchors. Numerical calculations were carried out for an anisotropic plasma produced in the course of neutral beam injection into the minimum of the magnetic field at the right angle to the trap axis. The stabilizing effect of the conducting shell made of a straightened cylinder is compared with a proportional chamber, which, on an enlarged scale, repeats the shape of the plasma column. It is confirmed that for convincing wall stabilization of the rigid modes, the plasma beta (β, the ratio of the plasma pressure to the magnetic field pressure) must exceed some critical value βcr2. When the conducting lateral wall is combined with conducting end plates imitating MHD end anchors, there are two critical betas and, respectively, two stability zones β < βcr1 and β > βcr2 that can merge, making the entire range 0< β <1 of betas allowable for stable plasma confinement. The dependence of the critical betas on the plasma anisotropy, mirror ratio, width of the vacuum gap between the plasma column and the lateral wall, radial pressure profile, and axial magnetic field profile is examined.

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“…where l determines the scale of the change in the vacuum field in this region. Substituting equation (38) into equation (A1) and calculating the left-hand side of equation ( 37) at z = 0, we obtain the desired constraint on the paraxiality parameter. For the smoothest pressure profile k = 1, this method yields:…”

Section: Thin Vacuum Gapmentioning

confidence: 99%

“…LoDestro's work was probably in oblivion for many years due to an early termination of the TMX (Tandem Mirror Experiment) and MFTF-B (Mirror Fusion Test Facility B) projects in the USA in the same year [22]. However, the achievement of high electron temperature and high beta in the gas dynamic trap (GDT) at Budker Institute of Nuclear Physics (INP) in Novosibirsk [23][24][25][26][27][28][29][30][31][32], emergence of new ideas [33], and new projects [34][35][36][37][38] makes us revisit old results.…”

Section: Introductionmentioning

confidence: 99%

Wall stabilization of high-beta anisotropic plasmas in an axisymmetric mirror trap

2023

Self Cite

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The stabilization of the ``rigid'' flute and ballooning modes both with and without the effect of additional MHD anchors in an axisymmetric mirror trap with the help of a perfectly conducting lateral wall is studied using a model pressure distribution of a plasma with a steep-angle neutral beam injection at the magnetic field minimum. The calculations were performed for an anisotropic plasma in a model that simulates the pressure distribution during the injection of beams of fast neutral atoms into the magnetic field minimum. It is assumed that the lateral wall is an axisymmetric shell surrounding the plasma that follows the shape of the magnetic field line and is placed at a certain distance to the plasma border. It has been found that for the effective stabilization of the modes by the lateral wall only, the parameter beta ($\beta$, ratio of plasma pressure to the magnetic field pressure) must exceed some critical value $\beta_{\text{crit}}$. When combined with the conducting end plates imitating the MHD end stabilizers, there are two critical beta values and two stability zones $0<\beta<\beta_{\text{ crit}1}$ and $\beta_{\text {crit}2}<\beta<1$ that can merge, making the entire range of allowable beta values $0<\beta<1$ stable. The dependence of the critical betas on the degree of plasma anisotropy, the mirror ratio, and the width of the vacuum gap between the plasma and the lateral wall is studied. In contrast to the previous studies focusing on a plasma model with a sharp boundary, we calculated the stability zones for a number of diffuse radial pressure profiles and several axial magnetic field profiles.

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Conceptual design of the ALIANCE-T mirror experiment

Cited by 9 publications

References 29 publications

Wall stabilization of the rigid ballooning m = 1 mode in a long-thin mirror trap

Wall stabilization of the rigid ballooning m = 1 mode in a long-thin mirror trap

Influence of the shape of a conducting chamber on the stability of rigid ballooning modes in a mirror trap

Wall stabilization of high-beta anisotropic plasmas in an axisymmetric mirror trap

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