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This paper presents a complete theoretical framework for plasma turbulence and transport in tokamak plasmas. The fundamental scale separations present in plasma turbulence are codified as an asymptotic expansion in the ratio of the…

Plasma Physics · Physics 2013-12-03 I. G. Abel , G. G. Plunk , E. Wang , M. Barnes , S. C. Cowley , W. Dorland , A. A. Schekochihin

Maxwell's equations and the equations governing charged particle dynamics are presented for a rotating coordinate system with the global time coordinate of an observer on the rotational axis. Special care is taken in defining the relevant…

Astrophysics · Physics 2012-08-27 Paul N. Arendt,

It is shown that a vorticity, constructed from spin field of a quantum spinning plasma, combines with the classical generalized vorticity (representing the magnetic and the velocity fields) to yield a new grand generalized vorticity that…

Plasma Physics · Physics 2015-05-30 Swadesh M. Mahajan , Felipe A. Asenjo

Upon combining Northrop's picture of charged particle motion with modern liquid crystal theories, this paper provides a new description of guiding center dynamics (to lowest order). This new perspective is based on a rotation gauge field…

Plasma Physics · Physics 2016-05-17 Cesare Tronci

We review here the development of the general formalism for the study of fermion propagation in the presence of stochastic media. This formalism allows the systematic derivation of evolution equations for averaged quantities as survival…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Torrente-Lujan

We face the well-known gyrokinetic problem, which arises in the description of the dynamics of a charged particle subject to fast gyration for the presence of a strong electromagnetic field. The customary approach to gyrokinetic theory,…

Mathematical Physics · Physics 2007-05-23 Piero Nicolini , Massimo Tessarotto

A new representation of electromagnetic gyrokinetic Vlasov-Maxwell theory is presented in which the gyrocenter equations of motion are expressed solely in terms of the perturbed electric and magnetic fields. In this representation, the…

Plasma Physics · Physics 2020-09-25 Alain J. Brizard

A recently proposed technique correlating electric fields and particle velocity distributions is applied to single-point time series extracted from linearly unstable, electrostatic numerical simulations. The form of the correlation, which…

Plasma Physics · Physics 2017-04-05 Kristopher G Klein

Electrostatic gyrokinetic absolute equilibria with continuum velocity field are obtained through the partition function and through the Green function of the functional integral. The new results justify and explain the prescription for…

Chaotic Dynamics · Physics 2012-06-12 Jian-Zhou Zhu

A conservative scheme has been formulated and verified for gyrokinetic particle simulations of electromagnetic waves and instabilities in magnetized plasmas. An electron continuity equation derived from drift kinetic equation is used to…

Plasma Physics · Physics 2018-03-14 J. Bao , Z. Lin , Z. X. Lu

A paradigm based on the absolute equilibrium of Galerkin-truncated inviscid systems to aid in understanding turbulence [T.-D. Lee, "On some statistical properties of hydrodynamical and magnetohydrodynamical fields," Q. Appl. Math. 10, 69…

Plasma Physics · Physics 2010-11-30 Jian-Zhou Zhu , Gregory W. Hammett

The complete short mean free path description of magnetized plasma in the drift ordering has recently been derived. The results correct the previous expressions for the ion pressure anisotropy (or parallel ion viscosity) and the…

Plasma Physics · Physics 2007-05-23 Peter J. Catto , Andrei N. Simakov

Gyrotactic algae are bottom heavy, motile cells whose swimming direction is determined by a balance between a buoyancy torque directing them upwards and fluid velocity gradients. Gyrotaxis has, in recent years, become a paradigmatic model…

Chaotic Dynamics · Physics 2019-03-25 Massimo Cencini , Guido Boffetta , Matteo Borgnino , Filippo De Lillo

We propose a phenomenological theory of strong incompressible magnetohydrodynamic turbulence in the presence of a strong large-scale external magnetic field. We argue that in the inertial range of scales, magnetic-field and velocity-field…

Astrophysics · Physics 2007-05-23 Stanislav Boldyrev

A comprehensive gyrokinetic simulation model has been implemented in the global toroidal gyrokinetic code (GTC) and verified for studying low-frequency waves and turbulence in magnetic fusion plasmas by treating all kinetic-MHD processes on…

The Hamiltonian formulation of the motion of a spinning relativistic particle in an external electromagnetic field is considered. The approach is based on the introduction of new coordinates and their conjugated momenta to describe the spin…

High Energy Physics - Theory · Physics 2014-11-18 M. Chaichian , R. Gonzalez Felipe , D. Louis Martinez

We have developed methods for tracing rays and performing radiative transfer through a magnetoactive plasma in a general relativistic environment. The two electromagnetic plasma modes propagate differently due to a combination of dispersive…

Astrophysics · Physics 2009-11-07 Avery Broderick , Roger Blandford

A four-vector field in flat space-time, satisfying a gauge-invariant set of second-order differential equations, is considered as a unified field. The model variational principle corresponds to the general covariance idea and gives rise to…

High Energy Physics - Theory · Physics 2008-11-26 Alexander A. Chernitskii

This study presents a fractional-order continuum mechanics approach that allows combining selected characteristics of nonlocal elasticity, typical of classical integral and gradient formulations, under a single frame-invariant framework.…

Numerical Analysis · Mathematics 2020-05-21 Sansit Patnaik , Sai Sidhardh , Fabio Semperlotti

The general framework of envelope modulations for plasma turbulence in the presence of strong magnetic fields is discussed. It is shown that the problem can be formulated using a functional which is equivalent to the plasma dielectric…

Plasma Physics · Physics 2017-11-23 Ö. D. Gürcan , P. Donnel