Results 11 to 20 of about 1,247 (174)
Hamiltonian formulation of the gyrokinetic Vlasov-Maxwell equations [PDF]
Physics Letters A, 2014 The gyrokinetic Vlasov-Maxwell equations are cast as an infinite-dimensional Hamiltonian system. The gyrokinetic Poisson bracket is remarkably simple and similar to the Morrison-Marsden-Weinstein bracket for the Vlasov-Maxwell equations.
Brizard, A. J. +3 more
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Visualizing gyrokinetic simulations [PDF]
IEEE Visualization 2004, 2005 The continuing advancement of plasma science is central to realizing fusion as an inexpensive and safe energy source. Gryokinetic simulations of plasmas are fundamental to the understanding of turbulent transport in fusion plasma. This paper discusses the visualization challenges presented by gyrokinetic simulations using magnetic field line following ...
Crawford, David +4 more
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Gyrokinetic Microtearing Turbulence [PDF]
Physical Review Letters, 2011 The nonlinear dynamics of microtearing modes in standard tokamak plasmas are investigated by means of ab initio gyrokinetic simulations. The saturation levels of the magnetic field fluctuations can be understood in the framework of a balance between (small poloidal wave number) linear drive and small-scale dissipation.
Doerk, H. +3 more
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Nonlinear gyrokinetic equations [PDF]
The Physics of Fluids, 1983 Nonlinear gyrokinetic equations are derived from a systematic Hamiltonian theory. The derivation employs Lie transforms and a noncanonical perturbation theory first used by Littlejohn for the simpler problem of asymptotically small gyroradius. For definiteness, we emphasize the limit of electrostatic fluctuations in slab geometry; however, there is a ...
Dubin, D. H. E. +3 more
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Plasma Physics and Controlled Fusion, 2009 We compare two different derivations of the gyrokinetic equation: the Hamiltonian approach in Dubin D H E et al (1983 Phys. Fluids 26 3524) and the recursive methodology in Parra F I and Catto P J (2008 Plasma Phys. Control. Fusion 50 065014). We prove that both approaches yield the same result at least to second order in a Larmor radius over ...
Parra, F, Catto, P
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Long time gyrokinetic equations
Quarterly of Applied Mathematics, 2023 The aim of this text is to elucidate the oscillating patterns (see C. Cheverry [Res. Rep. Math. (2018)]) which are generated in a toroidal plasma by a strong external magnetic field and a nonzero electric field. It is also to justify and then study new modulation equations which are valid for longer times than before.
Cheverry, Christophe, Farhat, Shahnaz
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Gyrokinetic large eddy simulations [PDF]
Physics of Plasmas, 2011 The large eddy simulation approach is adapted to the study of plasma microturbulence in a fully three-dimensional gyrokinetic system. Ion temperature gradient driven turbulence is studied with the GENE code for both a standard resolution and a reduced resolution with a model for the sub-grid scale turbulence. A simple dissipative model for representing
Morel, Pierre +6 more
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Energetically consistent collisional gyrokinetics [PDF]
Physics of Plasmas, 2015 We present a formulation of collisional gyrokinetic theory with exact conservation laws for energy and canonical toroidal momentum. Collisions are accounted for by a nonlinear gyrokinetic Landau operator. Gyroaveraging and linearization do not destroy the operator's conservation properties.
J. W. Burby, A. J. Brizard, H. Qin
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Energy Transfer and Electron Heating in Turbulent Flux Pileup Region
Geophysical Research Letters, Volume 49, Issue 24, 28 December 2022., 2022 Abstract We report observations of intense energy transfer developed within a flux pileup region (FPR) inside a plasma jet in the Earth's midtail. Strong electromagnetic turbulences, with ( and are wave numbers perpendicular and parallel to background magnetic field respectively), are observed together with intermittent sub‐ion‐scale structures ...
C. M. Liu +3 more
wiley +1 more source
Contributions to Plasma Physics, Volume 62, Issue 5-6, June‐July 2022., 2022 Abstract Gyrokinetic simulations are among the main tools to predict turbulent transport in the core of fusion devices. Unlike the core, the plasma edge and scrape‐off layer are characterized by lower temperature and higher collisionality. To allow for realistic gyrokinetic modelling of edge and scrape‐off layer turbulence, it is crucial to include ...
Philipp Ulbl +2 more
wiley +1 more source