189 citations · 1.6k across the 88 of their papers we have counts for
38 papers · 1 filter
Chaotic and integrable magnetic fields in one-dimensional hybrid Vlasov-Maxwell equilibria
Dimitrios A. Kaltsas, Philip J. Morrison, George N. Throumoulopoulos
In this paper, we develop a one-dimensional (1-D), quasineutral, hybrid Vlasov-Maxwell equilibrium model with kinetic ions and massless fluid electrons and derive associated soluti…
Mean field theory for intense light-matter interactions in high energy density plasmas
J. W. Burby, P. J. Morrison
We present a generalization of Vlasov-Maxwell kinetic theory that accounts for intense electromagnetic fields. A strongly-radiating, possibly optically-thick plasma is decomposed i…
Notes on a 1-dimensional electrostatic plasma model
F. Pegoraro, P. J. Morrison
A starting point for deriving the Vlasov equation is the BBGKY hierarchy that describes the dynamics of coupled marginal distribution functions. With a large value of the plasma pa…
Linear stability analysis via simulated annealing and accelerated relaxation
M. Furukawa, P. J. Morrison
Simulated annealing (SA) is a kind of relaxation method for finding equilibria of Hamiltonian systems. A set of evolution equations is solved with SA, which is derived from the ori…
Transport barriers in symplectic maps
R. L. Viana, I. L. Caldas, J. D. Szezech +10
Chaotic transport is a subject of paramount importance in a variety of problems in plasma physics, specially those related to anomalous transport and turbulence. On the other hand,…
A class of three-dimensional gyroviscous magnetohydrodynamic models
Manasvi Lingam, Philip J. Morrison, Alexander Wurm
A Hamiltonian and action principle formalism for deriving three-dimensional gyroviscous magnetohydrodynamic models is presented. The uniqueness of the approach in constructing the…
Lagrangian and Dirac constraints for the ideal incompressible fluid and magnetohydrodynamics
P. J. Morrison, T. Andreussi, F. Pegoraro
The incompressibility constraint for fluid flow was imposed by Lagrange in the so-called Lagrangian variable description using his method of multipliers in the Lagrangian (variatio…
Certain developments on the equilibrium of magnetized plasmas
A. Evangelias, D. A. Kaltsas, A. Kuiroukidis +3
Recent results will be presented on steady states of magnetically confined plasmas obtained by conventional and Hamiltonian methods. The presentation consists of three parts. The f…
An integral transform technique for kinetic systems with collisions
Jeffrey M. Heninger, Philip J. Morrison
The linearized Vlasov-Poisson system can be exactly solved using the -transform, an integral transform introduced in Refs. 1-3 that removes the electric field term, leaving a si…
Direction of cascades in a magnetofluid model with electron skin depth and ion sound Larmor radius scales
George Miloshevich, Philip J. Morrison, Emanuele Tassi
The direction of cascades in a two-dimensional model that takes electron inertia and ion sound Larmor radius into account is studied, resulting in analytical expressions for the ab…
Symplectic Maps for Diverted Plasmas
I. L. Caldas, B. F. Bartoloni, D. Ciro +8
Nowadays, divertors are used in the main tokamaks to control the magnetic field and to improve the plasma confinement. In this article, we present analytical symplectic maps descri…
Plasma turbulence in the equatorial electrojet: A two-dimensional Hamiltonian fluid model
Ehab Hassan, I. Keramidas Charidakos, P. J. Morrison +2
A nonlinear unified fluid model that describes the Equatorial Electrojet, including the Farley-Buneman and gradient-drift plasma instabilities, is defined and shown to be a noncano…
Structure and structure-preserving algorithms for plasma physics
P. J. Morrison
Hamiltonian and action principle (HAP) formulations of plasma physics are reviewed for the purpose of explaining structure preserving numerical algorithms. Geometric structures ass…
Structure and computation of two-dimensional incompressible extended MHD
D. Grasso, E. Tassi, H. M. Abdelhamid +1
A comprehensive study of a reduced version of Lust's equations, the extended magnetohydrodynamic (XMHD) model obtained from the two-fluid theory for electrons and ions with the enf…
Action Principles for Relativistic Extended Magnetohydrodynamics: A Unified Theory of Magnetofluid Models
Yohei Kawazura, George Miloshevich, Philip J. Morrison
Two types of Eulerian action principles for relativistic extended magnetohydrodynamics (MHD) are formulated. With the first, the action is extremized under the constraints of densi…
On the structure and statistical theory of turbulence of extended magnetohydrodynamics
George Miloshevich, Manasvi Lingam, Philip J. Morrison
Recent progress regarding the noncanonical Hamiltonian formulation of extended magnetohydrodynamics (XMHD), a model with Hall drift and electron inertia, is summarized. The advanta…
Explicit high-order noncanonical symplectic algorithms for ideal two-fluid systems
Jianyuan Xiao, Hong Qin, Philip J. Morrison +4
An explicit high-order noncanonical symplectic algorithm for ideal two-fluid systems is developed. The fluid is discretized as particles in the Lagrangian description, while the el…
Multiscale Equatorial Electrojet Turbulence: Energy Conservation, Coupling, and Cascades in a Baseline 2-D Fluid Model
Ehab Hassan, D. R. Hatch, P. J. Morrison +1
Progress in understanding the coupling between plasma instabilities in the equatorial electrojet based on a unified fluid model is reported. A deeper understanding of the linear an…
Concomitant Hamiltonian and topological structures of extended magnetohydrodynamics
Manasvi Lingam, George Miloshevich, Philip J. Morrison
The paper describes the unique geometric properties of ideal magnetohydrodynamics (MHD), and demonstrates how such features are inherited by extended MHD, viz. models that incorpor…
Weakly nonlinear dynamics in noncanonical Hamiltonian systems with applications to fluids and plasmas
P. J. Morrison, J. Vanneste
A method, called beatification, is presented for rapidly extracting weakly nonlinear Hamiltonian systems that describe the dynamics near equilibria for systems possessing Hamiltoni…
Remarkable connections between extended magnetohydrodynamics models
M. Lingam, P. J. Morrison, G. Miloshevich
Through the use of suitable variable transformations, the commonality of all extended magnetohydrodynamics (MHD) models is established. Remarkable correspondences between the Poiss…
Explosive magnetic reconnection caused by an X-shaped current-vortex layer in a collisionless plasma
Makoto Hirota, Yuji Hattori, Philip J. Morrison
A mechanism for explosive magnetic reconnection is investigated by analyzing the nonlinear evolution of a collisionless tearing mode in a two-fluid model that includes the effects…
Theory and applications of the Vlasov equation
F. Pegoraro, F. Califano, G. Manfredi +1
Forty articles have been recently published in EPJD as contributions to the topical issue "Theory and applications of the Vlasov equation". The aim of this topical issue was to pro…
An Action Principle for Relativistic MHD
Eric D'Avignon, Philip Morrison, Francesco Pegoraro
A covariant action principle for ideal relativistic magnetohydrodynamics (MHD) in terms of natural Eulerian field variables is given. This is done by generalizing the covariant Poi…