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Since the late 1950's, the dynamics of a charged particle's ``guiding center" in a strong, inhomogeneous magnetic field have been understood in terms of near-identity coordinate transformations. The basic idea has been to approximately…

Mathematical Physics · Physics 2020-02-19 J. W. Burby

We apply a recently-developed nonperturbative guiding center formalism to charged particle dynamics in fields with two-parameter continuous symmetry groups. This entails finding exact constants of motion, valid in the nonperturbative…

Plasma Physics · Physics 2025-08-14 I. Hollas , R. Agarwal , J. W. Burby , A. J. Brizard

At the core of some of the most important problems in plasma physics -- from controlled nuclear fusion to the acceleration of cosmic rays -- is the challenge to describe nonlinear, multi-scale plasma dynamics. The development of reduced…

Plasma Physics · Physics 2022-09-13 E. Paulo Alves , Frederico Fiuza

The energy production through thermo-nuclear fusion requires the confinement of the plasma into a bounded domain. In most of the cases, such configurations are obtained by using strong magnetic fields. Several models exist for describing…

Analysis of PDEs · Mathematics 2012-07-11 Mihai Bostan

The concept of guiding center is potent in astrophysics, space plasmas, fusion researches, and arc plasmas to solve the multi-scale dynamics of magnetized plasmas. In this letter, we rigorously prove that the guiding center dynamics can…

Plasma Physics · Physics 2024-03-06 Ruili Zhang , Jian Liu , Tong Liu , Wenxiang Li , Xiaogang Wang , Yifa Tang

The purpose of this paper is to develop a simplified model as the modeling of the magnetized plasmas. The starting point is an assumption that the distribution of the ensemble of charged particles in the same species is homogeneous over…

Plasma Physics · Physics 2017-07-25 Shuangxi Zhang

We present a novel numerical scheme for simulating the motion of relativistic charged particles in magnetospheres of compact objects, typically filled with highly magnetized collisionless plasmas. The new algorithm is based on a dynamic…

High Energy Astrophysical Phenomena · Physics 2020-11-04 Fabio Bacchini , Bart Ripperda , Alexander A. Philippov , Kyle Parfrey

We present a numerical implementation of the guiding center approximation to describe the relativistic motion of charged test particles in the PLUTO code for astrophysical plasma dynamics. The guiding center approximation (GCA) removes the…

Instrumentation and Methods for Astrophysics · Physics 2022-12-28 A. Mignone , H. Haudemand , E. Puzzoni

Many high-energy astrophysical systems contain magnetized collisionless plasmas with relativistic particles, in which turbulence can be driven by an arbitrary mixture of solenoidal and compressive motions. For example, turbulence in hot…

High Energy Astrophysical Phenomena · Physics 2021-12-07 Vladimir Zhdankin

The study of plasma physics under conditions of extreme temperatures, densities and electromagnetic field strengths is significant for our understanding of astrophysics, nuclear fusion and fundamental physics. These extreme physical systems…

Dusty plasma medium turns out to be an ideal system for studying the strongly coupled behavior of matter. The large size and slow response make their dynamics suitable to be captured through simple diagnostic tools. Furthermore, as the…

Plasma Physics · Physics 2024-08-30 Aman Singh Katariya , Amita Das , Animesh Sharma , Bibhuti Bhushan Sahu

We investigate the motion of charged particles in a turbulent electrostatic potential using guiding-center theory. By increasing the Larmor radius, the dynamics exhibit close-to-ballistic transport properties. The transition from diffusive…

Plasma Physics · Physics 2023-09-07 Matteo Stanzani , Filippo Arlotti , Guido Ciraolo , Xavier Garbet , Cristel Chandre

Throughout the history of science, physics-based modeling has relied on judiciously approximating observed dynamics as a balance between a few dominant processes. However, this traditional approach is mathematically cumbersome and only…

We build upon the recently formulated guiding-center kinetic theory for guiding-center plasma by incorporating spin degrees of freedom in the presence of electromagnetic fields. This approach yields a streamlined set of equations for…

Nuclear Theory · Physics 2025-11-21 Rajeev Singh

Low density plasmas in curved spacetimes, such as those found in accretion flows around black holes, are challenging to model from first principles, owing to the large scale separation between the characteristic scales of the microscopic…

High Energy Astrophysical Phenomena · Physics 2024-04-03 Tyler Trent , Karin Roley , Matthew Golden , Dimitrios Psaltis , Feryal Özel

Collisionless, magnetized turbulence offers a promising framework for the generation of non-thermal high-energy particles in various astrophysical sites. Yet, the detailed mechanism that governs particle acceleration has remained subject to…

High Energy Astrophysical Phenomena · Physics 2022-08-17 Virginia Bresci , Martin Lemoine , Laurent Gremillet , Luca Comisso , Lorenzo Sironi , Camilia Demidem

The motion of charged particles in weakly varying electromagnetic fields is described using a perturbation method. This provides a systematic and physically transparent description of the particle motion on fast and slow spatio-temporal…

Plasma Physics · Physics 2014-05-15 D. S. Sortland , O. E. Garcia

Low density plasmas are characterized by a large scale separation between the gyromotion of particles around local magnetic fields and the macroscopic scales of the system, often making global kinetic simulations computationally…

High Energy Astrophysical Phenomena · Physics 2023-09-15 Tyler Trent , Pierre Christian , Chi-kwan Chan , Dimitrios Psaltis , Feryal Ozel

Distortions in the electron distribution function driven by intense temperature gradients critically influence the generation and evolution of heat flux and magnetic fields in plasmas under the condition of inertial confinement fusion.…

Plasma Physics · Physics 2025-08-26 Z. H. Chen , Z. Q. Zhao , X. H. Yang , L. R. Li , B. Zeng , Z. Li , B. H. Xu , G. B. Zhang , H. H. Ma , M. Tang , Y. Y. Ma , H. Xu , F. Q. Shao , J. Zhang

The transport of energetic charged particles (e.g., cosmic rays) in turbulent magnetic fields is usually characterized in terms of the diffusion parallel and perpendicular to a large-scale (or mean) magnetic field. The nonlinear guiding…

Plasma Physics · Physics 2022-07-06 A. P. Snodin , T. Jitsuk , D. Ruffolo , W. H. Matthaeus
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