Hamiltonian gyrokinetic Vlasov-Maxwell system

J. W. Burby; A. J. Brizard; P. J. Morrison; H. Qin

doi:10.1016/j.physleta.2015.06.051

Hamiltonian gyrokinetic Vlasov-Maxwell system

J. W. Burby, A. J. Brizard, P. J. Morrison, H. Qin

PPPL Computational Science

Research output: Contribution to journal › Article › peer-review

37 Scopus citations

Abstract

Abstract A new formulation of electromagnetic gyrokinetics that possesses Hamiltonian form is constructed. The new formulation replaces Poisson-like equations by hyperbolic equations for the electromagnetic field with the speed of light slowed to that of the gyrokinetic vacuum, thereby significantly reducing computational cost. An energy principle is derived using the field-theoretic noncanonical Poisson bracket formulation of the theory. The energy principle is used to prove stability of the thermal equilibrium state in a uniform background magnetic field.

Original language	English (US)
Article number	23301
Pages (from-to)	2073-2077
Number of pages	5
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	379
Issue number	36
DOIs	https://doi.org/10.1016/j.physleta.2015.06.051
State	Published - Jul 14 2015

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

Keywords

Differential forms
Dynamical accessibility
Electromagnetic gyrokinetics
Energy principle
Gyrokinetic vacuum
Noncanonical Poisson bracket

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10.1016/j.physleta.2015.06.051

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title = "Hamiltonian gyrokinetic Vlasov-Maxwell system",

abstract = "Abstract A new formulation of electromagnetic gyrokinetics that possesses Hamiltonian form is constructed. The new formulation replaces Poisson-like equations by hyperbolic equations for the electromagnetic field with the speed of light slowed to that of the gyrokinetic vacuum, thereby significantly reducing computational cost. An energy principle is derived using the field-theoretic noncanonical Poisson bracket formulation of the theory. The energy principle is used to prove stability of the thermal equilibrium state in a uniform background magnetic field.",

keywords = "Differential forms, Dynamical accessibility, Electromagnetic gyrokinetics, Energy principle, Gyrokinetic vacuum, Noncanonical Poisson bracket",

author = "Burby, \{J. W.\} and Brizard, \{A. J.\} and Morrison, \{P. J.\} and H. Qin",

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T1 - Hamiltonian gyrokinetic Vlasov-Maxwell system

AU - Burby, J. W.

AU - Brizard, A. J.

AU - Morrison, P. J.

AU - Qin, H.

PY - 2015/7/14

Y1 - 2015/7/14

N2 - Abstract A new formulation of electromagnetic gyrokinetics that possesses Hamiltonian form is constructed. The new formulation replaces Poisson-like equations by hyperbolic equations for the electromagnetic field with the speed of light slowed to that of the gyrokinetic vacuum, thereby significantly reducing computational cost. An energy principle is derived using the field-theoretic noncanonical Poisson bracket formulation of the theory. The energy principle is used to prove stability of the thermal equilibrium state in a uniform background magnetic field.

AB - Abstract A new formulation of electromagnetic gyrokinetics that possesses Hamiltonian form is constructed. The new formulation replaces Poisson-like equations by hyperbolic equations for the electromagnetic field with the speed of light slowed to that of the gyrokinetic vacuum, thereby significantly reducing computational cost. An energy principle is derived using the field-theoretic noncanonical Poisson bracket formulation of the theory. The energy principle is used to prove stability of the thermal equilibrium state in a uniform background magnetic field.

KW - Differential forms

KW - Dynamical accessibility

KW - Electromagnetic gyrokinetics

KW - Energy principle

KW - Gyrokinetic vacuum

KW - Noncanonical Poisson bracket

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VL - 379

SP - 2073

EP - 2077

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 36

M1 - 23301

ER -

Hamiltonian gyrokinetic Vlasov-Maxwell system

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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