Influence of Toroidal Flow on Stationary Density of Collisionless Plasmas
Starting from the given passive particle equilibrium particle cylindrical profiles, we built self-consistent stationary conditions of the Maxwell-Vlasov equation at thermodynamic equilibrium with…
Kinetic equation for nonlinear wave-particle interaction: Solution properties and asymptotic dynamics
- Mathematics, PhysicsPhysica D: Nonlinear Phenomena
SHOWING 1-10 OF 37 REFERENCES
Full particle orbit effects in regular and stochastic magnetic fields
We present a numerical study of charged particle motion in a time-independent magnetic field in cylindrical geometry. The magnetic field model consists of an unperturbed reversed-shear helical part…
Diffusive Transport through a Nontwist Barrier in tokamaks
- PhysicsInt. J. Bifurc. Chaos
The magnetic field line structure of tokamaks with reversed magnetic shear is analyzed by means of a nontwist map model that takes into account non-integrable perturbations that describe ergodic…
HAMILTONIAN NONTWIST MAP FOR MAGNETIC FIELD LINES WITH LOCALLY REVERSED SHEAR IN TOROIDAL GEOMETRY
A simple Hamiltonian map is constructed, fulfilling the minimum requirements for the representation of a tokamak magnetic field in reversed shear configuration. This ``revtokamap'' is a typical…
Chaotic motion of charged particles in toroidal magnetic configurations.
The motion of a charged particle in a tokamak magnetic field is studied and the presence of chaos implies that no third global constant exists, and this fact is highlighted by looking at variations of the first order of the magnetic moment in this chaotic setting.
Hamiltonian formulation of guiding center motion
A Hamiltonian theory of guiding center motion which uses rectangular coordinates in physical space and noncanonical coordinates in phase space is presented. The averaging methods preserve two…
Non-existence of Normal Tokamak Equilibria with Negative Central Current
Recent tokamak experiments employing off-axis, non-inductive current drive have found that a large central current hole can be produced. The current density is measured to be approximately zero in…
Study on the creation and destruction of transport barriers via the effective safety factors for energetic particles
Charged particles with low kinetic energy move along the magnetic field lines, but so do not the energetic particles. We investigate the topological structure changes in the phase space of energetic…
Change of the adiabatic invariant due to separatrix crossing.
- PhysicsPhysical review letters
The change in the adiabatic invariant due to a separatrix crossing is given to order epsilon for a wide class of Hamiltonian systems.
Directed transport in a spatially periodic harmonic potential under periodic nonbiased forcing.
- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
It is shown that for a periodic external force of a general kind the system demonstrates directed (ratchet) transport in the chaotic domain on very long time intervals and a formula is obtained for the average velocity of this transport.