Scaling of rise time of drive current on development of magneto-Rayleigh-Taylor instabilities for single-shell Z-pinches

Wang, Xiaoguang; Wang, Guanqiong; Sun, Shunkai; Xiao, Di; Ding, Ning; Chongyang, Mao; Shu, Xiaojian

doi:10.1088/1674-1056/ac1fd9

Cited by 3 publications

(4 citation statements)

References 54 publications

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“…Then we make a Fast Fourier Transform (FFT) analysis of the radially integrated mass as a function of axial position to understand the development of MRTIs as in our previous work [36]. The method is also same to that in [16,51].…”

Section: Development Of Implosion Instabilitymentioning

confidence: 99%

“…Then the perturbation amplitude varies approximately linearly with L Imp after the amplitude is increased larger than the dominant wavelength when L imp > 0.26 cm. It is known from [36] that the self-similar growth of MRTI has…”

Section: Development Of Implosion Instabilitymentioning

confidence: 99%

“…It is inferred from these simulations and the corresponding experiments that long rise times and large radius will lead to full development of MRTI. Recently, Wang et al studied the effects of the load radius and the current rise time on MRTIs by numerical simulation and theoretical analysis [36]. It is found that perturbation amplitude A of the imploding plasma before stagnation will increase linearly with the rise time τ (or the initial radius) if the implosion velocity v s is kept constant as well as the implosion constant Π, which is a dimensionless parameter determining the implosion dynamics and the coupling efficiency of Z-pinch loads with the pulse power generator [21,22].…”

Section: Introductionmentioning

confidence: 99%

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Investigation on the scaling of magneto-Rayleigh–Taylor instability to the current rise time of Z-pinch plasmas

Xiaoguang,

Xiaodong,

Shijian

et al. 2023

Nucl. Fusion

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Understanding how the magneto-Rayleigh-Taylor instability (MRTI) scales to the current rise time is vital for Z-pinch dynamic hohlraum driven inertial confinement fusion. Wang et al. discovered in prior theoretical work that the perturbation amplitude of MRTI before stagnation increases linearly with the current rise time when the implosion velocity of Z-pinch plasma is held constant. In the present work, three types of wire-array experiments with similar implosion dynamics and constant implosion velocity are performed on an 8 MA pulse power generator to investigate the scaling of MRTI to the rise time. It is successfully accomplished for the first time to obtain the similar wire-array Z-pinch implosions in which the current rise time is scaled up to three times on the generator by controlling the trigger time of its 24 modules. Both the experimental results, which includes x-ray radiation pulses and x-ray images of imploding plasmas, and the related numerical analysis have shown that the MRTI before stagnation grows linearly with the rise time, as predicted by the theoretical model.

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Section: Development Of Implosion Instabilitymentioning

confidence: 99%

Section: Development Of Implosion Instabilitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Investigation on the scaling of magneto-Rayleigh–Taylor instability to the current rise time of Z-pinch plasmas

Xiaoguang,

Xiaodong,

Shijian

et al. 2023

Nucl. Fusion

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“…For instance, the stability of stratified dust clouds suspended in anode plasma was analyzed, and the RT instability was detected [28]. Additionally, the RT instability finds broad applications in inertial confinement fusion [50,51], laboratory plasma [52,53], as well as astrophysical settings like crab nebulae [54] and supernova remnants [55].…”

Section: Introductionmentioning

confidence: 99%

Investigation of the Rayleigh–Taylor instability in charged fluids

Zhang,

Li,

Duan

2023

Commun. Theor. Phys.

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The present study shows that the Rayleigh–Taylor (RT) instability and its growth rate are strongly dependent on the charge-mass ratio of charged particles in a charged fluid. A higher charge-mass ratio of the charged fluid appears to result in a stronger effect of the magnetic field to suppress the RT instability. We study the RT instabilities for both dusty plasma (small charge-mass ratio of charged particles) and ion-electron plasma (large charge-mass ratio of charged particles). It is found that the impact of the external magnetic field to suppress the RT instability for ion-electron plasma is much greater than that for dusty plasma. It is also shown that, for a dusty plasma, in addition to region parameters such as the external magnetic field, region length, its gradient, as well as dust particle parameters such as number density, mass, and charge of dust particles, the growth rate of the RT instability in a dusty plasma also depends on parameters of both electrons and ions such as the number densities and temperatures of both electrons and ions.

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Exploration of microscopic physical processes of Z-pinch by a modified electrostatic direct implicit particle-in-cell algorithm

Li 李,

Ning 宁,

Dong 董

et al. 2024

Chinese Phys. B

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For investigating efficiently the stagnation kinetic-process of Z-pinch, we develop a novel modified electrostatic implicit particle-in-cell (PIC) algorithm in radial one-dimension for Z-pinch simulation in which a small-angle cumulative binary collision algorithm is used. In our algorithm, the electric field in z-direction is solved by a parallel electrode-plate model, the azimuthal magnetic field is obtained by Ampere's law, and the term for charged particle gyromotion is approximated by the cross product of the averaged velocity and magnetic field. In simulation results of 2 MA deuterium plasma shell Z-pinch, the mass center implosion trajectory agree generally with that obtained by one dimensional MHD simulation, and the plasma current also closely aligns with the external current. The phase space diagrams and radial velocity probability distributions of ions and electrons are obtained. The main kinetic characteristic of electron motion is thermal equilibrium and oscillation, which should be oscillated around the ions, while that of ion motion is implosion inwards. In the region of stagnation radius, the radial velocity probability distributions of ions transit from the non-equilibrium to equilibrium state with the current increasing, while electron’s is basically the equilibrium state. When the initial ion density and current peak aren’t high enough, the ions may not reach their thermal equilibrium state through collisions even in its stagnation phase.

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Scaling of rise time of drive current on development of magneto-Rayleigh-Taylor instabilities for single-shell Z-pinches

Cited by 3 publications

References 54 publications

Investigation on the scaling of magneto-Rayleigh–Taylor instability to the current rise time of Z-pinch plasmas

Investigation on the scaling of magneto-Rayleigh–Taylor instability to the current rise time of Z-pinch plasmas

Investigation of the Rayleigh–Taylor instability in charged fluids

Exploration of microscopic physical processes of Z-pinch by a modified electrostatic direct implicit particle-in-cell algorithm

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