This paper reviews the relatively recent application of the methods of Hamiltonian
mechanics to problems in fluid dynamics. By Hamiltonian mechanics I mean all of what is …

This paper presents a comprehensive review of dispersive Alfvén waves in space and
laboratory plasmas. We start with linear properties of Alfvén waves and show how the …

This paper presents a theoretical framework for understanding plasma turbulence in
astrophysical plasmas. It is motivated by observations of electromagnetic and density …

Nonlinear gyrofluid equations are derived by taking moments of the nonlinear, electrostatic
gyrokinetic equation. The principal model presented includes evolution equations for the …

A self-consistent and energy-conserving set of nonlinear gyrokinetic equations, consisting of
the averaged Vlasov and Maxwell's equations for finite-.. beta.. plasmas, is derived. The …

A pedagogical review of the historical development and current status (as of early 2000) of
systematic statistical theories of plasma turbulence is undertaken. Emphasis is on …

The understanding of anomalous transport in magnetically confined plasmas requires the
development of models which can describe the dynamical evolution of potential, density …

A gyrokinetic formalism using magnetic co-ordinates is used to derive self-consistent,
nonlinear Maxwell–Vlasov equations that are suitable for particle simulation studies of finite …

Nonlinear evolution of the m= 1 mode is examined in high‐temperature plasmas where the
mode is in the semicollisional or collisionless regime. Unlike the finite− Δ′(m≥ 2) tearing …

A minimal model for magnetic reconnection and, generally, low-frequency dynamics in low-
beta plasmas is proposed. The model combines analytical and computational simplicity with …