2002•Chinese Physics LettersOpen access

Mitigation Effect of Finite Larmor Radius on Rayleigh-Taylor Instability in Z-Pinch Implosions

Qiu Xiao-Ming, Huang Lin, Jian Guangde

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Abstract

Based on the framework of magnetohydrodynamic theory, a simple model is proposed to study the mitigation effect of finite Larmor radius on the Rayleigh-Taylor instability in Z-pinch implosions. In this model, taking account of T i ⩾ T e in Z-pinch implosions we believe that the magnetohydrodynamic plasma responds to a perturbation (~exp [i( k · x -ω t ]) at frequency (ω + i k ⊥ 2 ρ i 2 Ω i ) instead of frequency ω, where k ⊥ 2 ρ i 2 is due to the finite Larmor radius effects expressed from the general kinetic theory of magnetized plasma. Therefore the linearized continuity and momentum equations for the perturbed mass-density and velocity include the finite Larmor radius effects. The calculations indicate that, in the wavenumber region of interest, the finite Larmor radius effects can mitigate the Rayleigh-Taylor instability in Z-pinch implosions.

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Based on the framework of magnetohydrodynamic theory, a simple model is proposed to study the mitigation effect of finite Larmor radius on the Rayleigh-Taylor instability in Z-pinch implosions. In this model, taking account of T i ⩾ T e in Z-pinch implosions we believe that the magnetohydrodynamic plasma responds to a perturbation (~exp [i( k · x -ω t ]) at frequency (ω + i k ⊥ 2 ρ i 2 Ω i ) instead of frequency ω, where k ⊥ 2 ρ i 2 is due to the finite Larmor radius effects expressed from the general kinetic theory of magnetized plasma. Therefore the linearized continuity and momentum equations for the perturbed mass-density and velocity include the finite Larmor radius effects. The calculations indicate that, in the wavenumber region of interest, the finite Larmor radius effects can mitigate the Rayleigh-Taylor instability in Z-pinch implosions.

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Available abstract

Based on the framework of magnetohydrodynamic theory, a simple model is proposed to study the mitigation effect of finite Larmor radius on the Rayleigh-Taylor instability in Z-pinch implosions. In this model, taking account of T i ⩾ T e in Z-pinch implosions we believe that the magnetohydrodynamic plasma responds to a perturbation (~exp [i( k · x -ω t ]) at frequency (ω + i k ⊥ 2 ρ i 2 Ω i ) instead of frequency ω, where k ⊥ 2 ρ i 2 is due to the finite Larmor radius effects expressed from the general kinetic theory of magnetized plasma. Therefore the linearized continuity and momentum equations for the perturbed mass-density and velocity include the finite Larmor radius effects. The calculations indicate that, in the wavenumber region of interest, the finite Larmor radius effects can mitigate the Rayleigh-Taylor instability in Z-pinch implosions.

Key concepts: Gyroradius, Physics, Rayleigh–Taylor instability, Magnetohydrodynamic drive, Instability, Magnetohydrodynamics, RADIUS, Quantum electrodynamics

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