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Gyrokinetic theory is a basis for treating magnetised plasma dynamics slower than particle gyrofrequencies where the scale of the background is larger than relevant gyroradii. The energy of field perturbations can be comparable to the…

Plasma Physics · Physics 2024-05-29 Bruce D. Scott

This paper pointed out that the usual gyrocenter transform, which implements single-parameter Lie transform perturbation theory on Lagrangian differential 1-form of the orbit of charged particles immersed in a strong magnetic field, is not…

Plasma Physics · Physics 2017-07-19 Shuangxi Zhang

It's pointed out that the treatment of the resonant electromagnetic perturbation with the Lie transform method adopted in the gyrokinetic theory generates some nonphysical terms in the trajectory equations. By utilizing a modified…

Plasma Physics · Physics 2017-06-16 Shuangxi Zhang

It is pointed out that the conventional Lie transform perturbation theory for the guiding center motion of charged particles in a magnetic field needs to be modified for ordering inconsistency. There are two reasons. First, the ordering…

Plasma Physics · Physics 2023-05-03 Linjin Zheng

We study the validity of gyrokinetic theory by examining the destruction of magnetic moment adiabatic invariant in the presence of fluctuations. Contrary to common assertions, it is shown for the first time that the gyrokinetic theory rests…

Plasma Physics · Physics 2023-10-31 Haotian Chen , Liu Chen , Fulvio Zonca , Jiquan Li , Min Xu

In this paper, to fit the multi-scale perturbations, the single-parameter Lie transform perturbation theory given in [Ann Phys, 151 1 (1983)] is generalized to a multi-parameter case, which provides a formal solution of the new Lagrangian…

Plasma Physics · Physics 2017-08-28 Shuangxi Zhang

The use of gyrokinetics, wherein phase-space coordinate transformations result in a phase-space dimensionality reduction as well as the removal of fast time scales, has enabled the simulation of microturbulence in fusion devices. The…

Plasma Physics · Physics 2025-09-10 Ronald Remmerswaal , Roman Hatzky , Eric Sonnendrücker

Radiation damping of the motion of charged particles in relativistic, optically thin plasmas is described within the framework of the covariant gyrokinetic theory. It involves description of the collisionless single-particle dynamics as…

Plasma Physics · Physics 2007-05-23 A. Beklemishev , M. Tessarotto

We present a gyrokinetic theory for the electromagnetic waves and instabilities with frequencies much lower than the ion cyclotron frequency in finite-$\beta$ anisotropic uniform plasmas. Here, $\beta$ is the ratio between plasma and…

Plasma Physics · Physics 2022-03-25 Haotian Chen , Liu Chen

The well-known gyrokinetic problem regards the perturbative expansion related to the dynamics of a charged particle subject to fast gyration motion due to the presence of a strong magnetic field. Although a variety of approaches have been…

Plasma Physics · Physics 2011-02-22 Piero Nicolini , Massimo Tessarotto

A gyrokinetic theory is developed under a set of orderings applicable to the edge region of tokamaks and other magnetic confinement devices, as well as to internal transport barriers. The result is a practical set equations that is valid…

Plasma Physics · Physics 2015-05-30 Andris M. Dimits

The gyrokinetic paradigm in the long wavelength regime is reviewed from the perspective of variational averaging (VA). The VA-method represents a third pillar for averaging kinetic equations with highly-oscillatory characteristics, besides…

Mathematical Physics · Physics 2018-08-29 Stefan Possanner

We derive a gyrokinetic formalism which is very generally valid: the ordering allows both large inhomogeneities in plasma flow and magnetic field at long wavelength, like typical drift-kinetic theories, as well as fluctuations at the…

Plasma Physics · Physics 2016-09-21 Ben F McMillan , Amil Sharma

We present a new model for simulating the electromagnetic fluctuations with frequencies much lower than the ion cyclotron frequency in plasmas confined in general magnetic configurations. This novel model (termed as GK-E&B) employs…

Plasma Physics · Physics 2020-11-19 Liu Chen , Haotian Chen , Fulvio Zonca , Yu Lin

Although there are phenomenological indications that the low-energy constants in the chiral lagrangian may be understood in terms of a finite number of hadronic resonances, it remains unclear how this follows from QCD. One of the arguments…

High Energy Physics - Phenomenology · Physics 2008-11-26 Maarten Golterman , Santi Peris

We propose a novel derivation of the gyrokinetic field-particle Lagrangian for non-collisional ion-electron plasmas in a magnetic background with strong variations (maximal ordering). Our approach follows the two-step reduction process,…

Plasma Physics · Physics 2019-09-12 Edoardo Zoni , Stefan Possanner

A gyrokinetic model is presented that can properly describe strong flows, large and small amplitude electromagnetic fluctuations occurring on scale lengths ranging from the electron Larmor radius to the equilibrium perpendicular pressure…

Plasma Physics · Physics 2020-04-23 B. J. Frei , R. Jorge , P. Ricci

We show that the coefficients of operators in the electroweak chiral Lagrangian can be bounded if the underlying theory obeys the usual assumptions of Lorentz invariance, analyticity, unitarity and crossing to arbitrarily short distances.…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jacques Distler , Benjamin Grinstein , Rafael A. Porto , Ira Z. Rothstein

A crucial issue in relativistic plasma, particularly relevant in the astrophysical context, is the description of highly magnetized plasmas based on a covariant formulation of gyrokinetic dynamics. An interesting case in question is that in…

Plasma Physics · Physics 2007-05-23 Massimo Tessarotto , Claudio Cremaschini , Piero Nicolini , Alexei Beklemishev

The issue of finite magnetic compressibility in low-beta magnetised plasmas is considered within the gyrokinetic description. The gauge transformation method of Littlejohn is used to obtain a Lagrangian which contains this effect…

Plasma Physics · Physics 2024-05-30 Bruce D. Scott
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