How the plasma transport is reduced by the strength of the external magnetic field is of great concern in studying magnetic confinement of fusion plasma. The

plasma diffusion Plasma diffusion across a magnetic field is an important topic in magnetic confinement of fusion plasma. It especially concerns how plasma transport is related to strength of an external magnetic field, B. Classical diffusion predicts 1/B2 scaling ...

may be classified by the

classical diffusion Classical diffusion is a key concept in fusion power and other fields where a plasma is confined by a magnetic field within a vessel. It considers collisions between ions in the plasma that causes the particles to move to different paths and eventua ...

of B⁻² scaling, the

Bohm diffusion The diffusion of plasma across a magnetic field was conjectured to follow the Bohm diffusion scaling as indicated from the early plasma experiments of very lossy machines. This predicted that the rate of diffusion was linear with temperature and i ...

conjectured to follow the B⁻¹ scaling, and the Hsu diffusion of B^−3/2 scaling. Here, B is the external magnetic field. The low-frequency fluctuating electric fields can cause particles to execute the ExB drift. Due to the long range nature of Coulomb interaction, the electric field coherence time is long enough to allow virtually free streaming of particles across the field lines. Thus, when no other decoherence mechanism exists, the transport would be the only mechanism to limit the run of its own course and to result in the

of 1/B scaling in a 2D like plasma. In a 3D plasma, the parallel decoherence (the decoherence along the field line) is significant enough to reduce the transport of ExB drifts to only the classical diffusion. There are, however, cyclotron harmonics that can cause resonance diffusion in the velocity space leading to an unbounded Larmor radius enlargement and particle diffusion. Hsu, Wu, Agarwal, and Ryu in 2013 proposed this effective diffusion mechanism by the combined effects from the ExB drift and the cyclotron resonance. Since the cyclotron harmonic is in tune with the particle gyration, it is effectively stationary as seen by the particles, but weakened by the finite Larmor radius (FLR) effect, i. e., ''I''₁(λ)e^λ~λ≡k_⊥²ρ²<<1 in the thermal

fluctuation spectrum The power spectrum S_(f) of a time series x(t) describes the distribution of power into frequency components composing that signal. According to Fourier analysis, any physical signal can be decomposed into a number of discrete frequencies, ...

, where k_⊥ is the wave number perpendicular to the magnetic field and ρ≡v_th/Ω is the plasma gyroradius, v_th the thermal velocity and Ω the gyrofrequecy. When the parallel decoherence, characterized by 1/k_{, ,}v_th , and the perpendicular diffusive damping, characterized by k_⊥²D, are on the same time scale, namely, Ω>>k_⊥²D~k_{, ,}v_th>>ν_c, it results in a diffusion coefficient :

D = <\Delta v\Delta\tau\Delta a\Delta\tau>\sim \left(\frac\right)\left(k_^2\,D\right)^\left(\frac\right)\left(k_\,v_\right)^ .

The electric field energy of thermal fluctuations is a fraction of the particle thermal energy given by δE²~ε_pn₀k_BT, where ε_p is the plasma parameter. Therefore, the renormalized D value gives the Hsu diffusion of the 1/B^3/2 scaling .

References

{{Reflist Diffusion Plasma physics

See also

References