Electric field due to velocity space particle loss in field‐reversed configurations

1989 ◽  
Vol 1 (2) ◽  
pp. 375-383 ◽  
Author(s):  
Ming‐Yuan Hsiao ◽  
Joseph L. Staudenmeier ◽  
Pi‐Ren Chiang
Keyword(s):  
Electric Field ◽  
Velocity Space ◽  
Particle Loss ◽  
Field Reversed Configurations

scholarly journals Velocity-space particle loss in field-reversed configurations

1985 ◽  
Vol 28 (5) ◽  
pp. 1440 ◽  
Author(s):  
Ming-Yuan Hsiao ◽  
George H. Miley
Keyword(s):  
Velocity Space ◽  
Particle Loss ◽  
Field Reversed Configurations

Electric field in the edge layer of field‐reversed configurations

1992 ◽  
Vol 4 (10) ◽  
pp. 3226-3240 ◽  
Author(s):  
Pi‐Ren Chiang ◽  
Ming‐Yuan Hsiao
Keyword(s):  
Electric Field ◽  
Edge Layer ◽  
Field Reversed Configurations

scholarly journals Diagnosing collisionless energy transfer using field–particle correlations: Alfvén-ion cyclotron turbulence

2020 ◽  
Vol 86 (4) ◽  
Author(s):  
Kristopher G. Klein ◽  
Gregory G. Howes ◽  
Jason M. TenBarge ◽  
Francesco Valentini
Keyword(s):  
Energy Transfer ◽  
Electric Field ◽  
Transfer Rate ◽  
Velocity Space ◽  
Turbulence Energy ◽  
Correlation Technique ◽  
Parallel Electric Field ◽  
Particle Correlation ◽  
Particle Correlations ◽  
Ion Cyclotron

We apply field–particle correlations – a technique that tracks the time-averaged velocity-space structure of the energy density transfer rate between electromagnetic fields and plasma particles – to data drawn from a hybrid Vlasov–Maxwell simulation of Alfvén-ion cyclotron turbulence. Energy transfer in this system is expected to include both Landau and cyclotron wave–particle resonances, unlike previous systems to which the field–particle correlation technique has been applied. In this simulation, the energy transfer rate mediated by the parallel electric field $E_{\Vert }$ comprises approximately 60 % of the total rate, with the remainder mediated by the perpendicular electric field $E_{\bot }$ . The parallel electric field resonantly couples to protons, with the canonical bipolar velocity-space signature of Landau damping identified at many points throughout the simulation. The energy transfer mediated by $E_{\bot }$ preferentially couples to particles with $v_{tp}\lesssim v_{\bot }\lesssim 3v_{tp}$ , where $v_{tp}$ is the proton thermal speed, in agreement with the expected formation of a cyclotron diffusion plateau. Our results demonstrate clearly that the field–particle correlation technique can distinguish distinct channels of energy transfer using single-point measurements, even at points in which multiple channels act simultaneously, and can be used to determine quantitatively the rates of particle energization in each channel.

Time asymptotic statistics of the Vlasov equation

1977 ◽  
Vol 17 (3) ◽  
pp. 553-569 ◽  
Author(s):  
Georg Knorr
Keyword(s):  
Phase Space ◽  
Electric Field ◽  
Vlasov Equation ◽  
Reasonable Agreement ◽  
Initial Conditions ◽  
Velocity Space ◽  
Expectation Values ◽  
Asymptotic Statistics ◽  
Field Spectrum

A statistical description of the Vlasov equation is made possible by truncation of phase space in the velocity co-ordinates and writing the equation in terms of Fourier components in configuration and velocity space. Invariants of the resulting nonlinear turbulence equations are discussed. Expectation values and in particular an electric field spectrum of the form (β+ ακ2)-1 are derived. α and β are constants; α is always positive; β may be negative, depending on the initial conditions of the plasma. The spectrum is in reasonable agreement with available experiments and simulations.

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