Matches in SemOpenAlex for { <https://semopenalex.org/work/W4385473755> ?p ?o ?g. }
Showing items 1 to 57 of
57
with 100 items per page.
- W4385473755 abstract "Equilibrium equations for magnetically confined, axisymmetric plasmas are derived by means of the energy-Casimir variational principle in the context of Hall magnetohydrodynamics (MHD). This approach stems from the noncanonical Hamiltonian structure of Hall MHD, the simplest, quasineutral two-fluid model that incorporates contributions due to ion Hall drifts. The axisymmetric Casimir invariants are used, along with the Hamiltonian functional to apply the energy-Casimir variational principle for axisymmetric two-fluid plasmas with incompressible ion flows. This results in a system of equations of the Grad-Shafranov-Bernoulli (GSB) type with four free functions. Two families of analytic solutions to the GSB system are then calculated, based on specific choices for the free functions. These solutions are subsequently applied to Tokamak-relevant configurations using proper boundary shaping methods. The Hall MHD model predicts a departure of the ion velocity surfaces from the magnetic surfaces which are frozen in the electron fluid. This separation of the characteristic surfaces is corroborated by the analytic solutions calculated in this study. The equilibria constructed by these solutions exhibit favorable characteristics for plasma confinement, for example they possess closed and nested magnetic and flow surfaces with pressure profiles peaked at the plasma core. The relevance of these solutions to laboratory and astrophysical plasmas is finally discussed, with particular focus on systems that involve length scales on the order of the ion skin depth." @default.
- W4385473755 created "2023-08-02" @default.
- W4385473755 creator A5000051171 @default.
- W4385473755 creator A5049834550 @default.
- W4385473755 creator A5092579744 @default.
- W4385473755 date "2023-07-29" @default.
- W4385473755 modified "2023-09-25" @default.
- W4385473755 title "Analytic Hall Magnetohydrodynamics toroidal equilibria via the energy-Casimir variational principle" @default.
- W4385473755 doi "https://doi.org/10.48550/arxiv.2307.16091" @default.
- W4385473755 hasPublicationYear "2023" @default.
- W4385473755 type Work @default.
- W4385473755 citedByCount "0" @default.
- W4385473755 crossrefType "posted-content" @default.
- W4385473755 hasAuthorship W4385473755A5000051171 @default.
- W4385473755 hasAuthorship W4385473755A5049834550 @default.
- W4385473755 hasAuthorship W4385473755A5092579744 @default.
- W4385473755 hasBestOaLocation W43854737551 @default.
- W4385473755 hasConcept C106881136 @default.
- W4385473755 hasConcept C121332964 @default.
- W4385473755 hasConcept C15001198 @default.
- W4385473755 hasConcept C152361515 @default.
- W4385473755 hasConcept C31532427 @default.
- W4385473755 hasConcept C33026886 @default.
- W4385473755 hasConcept C57879066 @default.
- W4385473755 hasConcept C62520636 @default.
- W4385473755 hasConcept C74650414 @default.
- W4385473755 hasConcept C82706917 @default.
- W4385473755 hasConcept C9259290 @default.
- W4385473755 hasConcept C97355855 @default.
- W4385473755 hasConceptScore W4385473755C106881136 @default.
- W4385473755 hasConceptScore W4385473755C121332964 @default.
- W4385473755 hasConceptScore W4385473755C15001198 @default.
- W4385473755 hasConceptScore W4385473755C152361515 @default.
- W4385473755 hasConceptScore W4385473755C31532427 @default.
- W4385473755 hasConceptScore W4385473755C33026886 @default.
- W4385473755 hasConceptScore W4385473755C57879066 @default.
- W4385473755 hasConceptScore W4385473755C62520636 @default.
- W4385473755 hasConceptScore W4385473755C74650414 @default.
- W4385473755 hasConceptScore W4385473755C82706917 @default.
- W4385473755 hasConceptScore W4385473755C9259290 @default.
- W4385473755 hasConceptScore W4385473755C97355855 @default.
- W4385473755 hasLocation W43854737551 @default.
- W4385473755 hasOpenAccess W4385473755 @default.
- W4385473755 hasPrimaryLocation W43854737551 @default.
- W4385473755 hasRelatedWork W12627131 @default.
- W4385473755 hasRelatedWork W1993911696 @default.
- W4385473755 hasRelatedWork W2054718905 @default.
- W4385473755 hasRelatedWork W2056570414 @default.
- W4385473755 hasRelatedWork W2075489679 @default.
- W4385473755 hasRelatedWork W2088756072 @default.
- W4385473755 hasRelatedWork W2328700270 @default.
- W4385473755 hasRelatedWork W2738169748 @default.
- W4385473755 hasRelatedWork W3206423225 @default.
- W4385473755 hasRelatedWork W79907396 @default.
- W4385473755 isParatext "false" @default.
- W4385473755 isRetracted "false" @default.
- W4385473755 workType "article" @default.