Vlasov tokamak equilibria with shearad toroidal flow and anisotropic pressure

@article{Kuiroukidis2015VlasovTE,
  title={Vlasov tokamak equilibria with shearad toroidal flow and anisotropic pressure},
  author={Ap. Kuiroukidis and G. N. Throumoulopoulos and Henri Tasso},
  journal={Physics of Plasmas},
  year={2015},
  volume={22},
  pages={082505}
}
By choosing appropriate deformed Maxwellian ion and electron distribution functions depending on the two particle constants of motion, i.e., the energy and toroidal angular momentum, we reduce the Vlasov axisymmetric equilibrium problem for quasineutral plasmas to a transcendental Grad-Shafranov-like equation. This equation is then solved numerically under the Dirichlet boundary condition for an analytically prescribed boundary possessing a lower X-point to construct tokamak equilibria with… 

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References

SHOWING 1-10 OF 17 REFERENCES

Tokamak-like Vlasov equilibria

Vlasov equilibria of axisymmetric plasmas with vacuum toroidal magnetic field can be reduced, up to a selection of ions and electrons distributions functions, to a Grad-Shafranov-like equation.

On the Vlasov approach to tokamak equilibria with flow

A previous proof of non-existence of tokamak equilibria with purely poloidal flow within macroscopic theory (Throumoulopoulos et al 2006 Phys. Plasmas 13 122501) motivated this microscopic analysis

Exact Vlasov–Maxwell equilibria with sheared magnetic fields

A theoretical formalism which allows the generation of a large class of exact Vlasov–Maxwell equilibria with sheared magnetic fields is presented. All quantities are assumed to vary in only one

Kinetic equilibrium for an asymmetric tangential layer

Finding kinetic (Vlasov) equilibria for tangential current layers is a long standing problem, especially in the context of reconnection studies, when the magnetic field reverses. Its solution is of

Two-dimensional nonlinear cylindrical equilibria with reversed magnetic shear and sheared flow

Nonlinear translational symmetric equilibria with up to quartic flux terms in free functions, reversed magnetic shear, and sheared flow are constructed in two ways: (i) quasi-analytically by an

Analytic, quasineutral, two-dimensional Maxwell-Vlasov equilibria

Two-dimensional Maxwell-Vlasov equilibria with finite electric fields, axial ("toroidal") plasma flow and isotropic pressure are constructed in plane geometry by using the quasineutrality condition

Vlasov-Maxwell plasma equilibria with temperature and density gradients: Weak inhomogeneity limit

Stationary self-consistent solutions of the Vlasov-Maxwell system in a magnetized plasma (so called Vlasov equilibria) with both density and temperature gradients are investigated analytically in the

Realistic Vlasov slab equilibria with magnetic shear

A method is described for generating exact Vlasov slab equilibria to model high‐beta plasmas with strong magnetic shear. Physically reasonable distribution functions that account for such effects as

Collisionless distribution function for the relativistic force-free Harris sheet

A self-consistent collisionless distribution function for the relativistic analogue of the force-free Harris sheet is presented. This distribution function is the relativistic generalization of the

The Harris sheet in a dusty plasma

Abstract In 1962 E. G. Harris published a solution to the problem of a current sheet separating regions of oppositely directed magnetic field in a fully ionized plasma. The resulting solution has