Search arXiv⌕ Search
Home/Archive/arXiv

arXiv · physics/0509238

Covariant kinetic theory of nonlinear plasma waves interaction

M. Lazar·R. Schlickeiser
View original source ↗Read source document ↗Export metadata ↓

Abstract

A rigorous and most general covariant kinetic formalism is developed to study the nonlinear waves interaction in relativistic Vlasov plasmas. The typical nonlinear plasma reaction is a nonlinear current measured by the nonlinear plasma conductivity, and these quantities are derived here on the basis of relativistic Vlasov-Maxwell equations. Knowing the nonlinear plasma conductivity allows us to determine all plasma modes nonlinearly excited in plasma. The general covariant form of nonlinear conductivity is provided first for any value of plasma temperature and for the whole complex frequency plane by a correct analytical continuation. The further analysis is restricted to a correct relativistic particle distribution which is vanishing for particle speeds greater than speed of light. In the limit of nonrelativistic plasma temperatures the covariant nonlinear conductivity is significantly different from the standard noncovariant nonrelativistic results which are reached only in the formal limit of an infinitely large speed of light $c \to \infty$.

Explore related subjects

physics.plasm-ph

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

M. Lazar, R. Schlickeiser. 2005-09-28. Covariant kinetic theory of nonlinear plasma waves interaction. https://doi.org/10.1017/s0022377805004253

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

arXiv2026

Drift wave turbulence and transport analysis of hot ion L-mode plasma with fishbone instability on HL-3 tokamak

An integrated analysis of the HL-3 hot-ion L-mode (shot \#11972, $T_i/T_e\approx3$, $T_i(0)\approx9.8$\,keV) establishes the cross-scale coupling by which a single $m=1,n=1$ fishbone mode governs both toroidal rotation and ion-scale drift-wave turbulence. Multi-diagnostic measurements, OMFIT integrated modeling, and TGLF quasilinear simulations show that a steep fast-ion pressure gradient under 2.5\,MW co-injected NBI excites the fishbone. Its outward redistribution of resonant fast ions decouples the NBI torque, and the sawtooth crash it triggers collapses the rotation from above $100$ to $60$\,krad/s. The same fast ions that drive the fishbone also stabilize ion-scale ITG/TEM turbulence, so their redistribution removes the ITG stabilization carried by the high temperature ratio, fast-ion dilution, and $E\times B$ shear, and erodes the internal transport barrier. Two-dimensional flux and one-dimensional eigenvalue scans confirm that the high temperature ratio and the fast-ion population together suppress particle, energy, and momentum transport. These findings close one cross-scale coupling loop spanning MHD, fast-ion transport and microturbulence, in which one mode drives both momentum balance and turbulence stability. The results offer a predictive framework for fast-ion confinement and rotation sustainment in the upcoming deuterium tritium phase, and for burning plasmas where alpha particles likewise drive MHD activity and damp turbulence.

physics.plasm-ph↗
arXiv2026

Suppression of the Laser Hosing Instability in a Parabolic Plasma Channel

We present an analytical stability analysis of the laser hosing instability in a parabolic channel in the weakly relativistic regime. We employ a variational principle approach to derive a set of coupled equations describing laser dynamics in a transversely inhomogeneous plasma. The quadratic Lagrangian formalism is applied to perform a stability analysis and to derive the growth rates for hosing in both long- and short-wavelength regimes. We find that a parabolic channel suppresses the long-wavelength hosing mode completely, for any channel depth, and that the unstable band of the short-wavelength mode is bounded below by a cutoff wavenumber set by the ratio of the channel frequency to the hosing coupling. A steeper channel narrows the unstable band and lowers the short-wavelength growth rate, but cannot stabilize the mode, since the dispersion relation forbids damping identically. The analysis is accompanied by two-dimensional particle-in-cell simulations, which reproduce the prediction in the nonlinear regime: the long-wavelength mode is absent in a channel, the surviving modulation shortens as the channel steepens, and its amplitude falls with channel depth. Further, our simulation results demonstrate the sensitivity of off-axis laser propagation to the plasma channel and distinguish the hosing instability from laser oscillations due to off-axis laser propagation in a plasma channel.

physics.plasm-ph↗
arXiv2026

Non-axisymmetric MHD equilibria with an arbitrary number of field periods

Several closed-form non-axisymmetric magnetic fields with nested toroidal flux surfaces have recently been discovered as exact benchmarks for verifying three-dimensional magnetohydrodynamic equilibrium codes. However, all of these solutions have at most two field periods ($N \le 2$), i.e., identical segments that repeat toroidally. Here, we derive closed-form non-axisymmetric magnetohydrodynamic equilibria for an arbitrary integer number of field periods $N \geq 1$. The equilibria have non-constant pressure and closed magnetic field lines with either zero rotational transform ($ι= 0$) for $N \geq 1$ or integer rotational transform ($ι= \pm N$) for $N \ge 3$. For the reflection-symmetric $ι= 0$ equilibria, we also construct a matched exterior vacuum field with continuous magnetic field across the plasma boundary, providing a benchmark for free-boundary equilibrium codes.

physics.plasm-ph↗