2021
DOI: 10.1088/2058-6272/ac18ba
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Discovering exact, gauge-invariant, local energy–momentum conservation laws for the electromagnetic gyrokinetic system by high-order field theory on heterogeneous manifolds

Abstract: Gyrokinetic theory is arguably the most important tool for numerical studies of transport physics in magnetized plasmas. However, exact local energy-momentum conservation laws for the electromagnetic gyrokinetic system have not been found despite continuous effort. Without such local conservation laws, energy and momentum can be instantaneously transported across spacetime, which is unphysical and casts doubt on the validity of numerical simulations based on the gyrokinetic theory. The standard Noether procedu… Show more

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Cited by 7 publications
(9 citation statements)
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“…In this section, we aim to extend the theory previously developed in [13,15] to encompass relativistic situations. We assume a background space-time that is Minkowskian, endowed with a Lorentzian metric.…”
Section: Classical Relativistic Particle-field Systems and A Geometri...mentioning
confidence: 99%
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“…In this section, we aim to extend the theory previously developed in [13,15] to encompass relativistic situations. We assume a background space-time that is Minkowskian, endowed with a Lorentzian metric.…”
Section: Classical Relativistic Particle-field Systems and A Geometri...mentioning
confidence: 99%
“…However, for classical relativistic particle-field systems, the derivation procedure is still elusive. For example, for an electromagnetic system coupled with relativistic particles, the energy-momentum conservation was firstly derived by Landau and Lifshitz [12], and just reformulated into a geometric form recently from the space-time translation symmetry [13].…”
Section: Introductionmentioning
confidence: 99%
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