Axisymmetric hybrid Vlasov equilibria with applications to tokamak plasmas

Kaltsas, D. A.; Kuiroukidis, A.; Morrison, P. J.; Throumoulopoulos, G. N.

doi:10.1088/1361-6587/ad4174

Axisymmetric hybrid Vlasov equilibria with applications to tokamak plasmas

Journal Article · Fri May 03 00:00:00 EDT 2024 · Plasma Physics and Controlled Fusion

DOI:https://doi.org/10.1088/1361-6587/ad4174· OSTI ID:2345846

^[1]; ^[2]; ^[3]; ^[2]

Univ. of Ioannina (Greece); Democritus Univ. of Thrace (Greece)
Univ. of Ioannina (Greece)
Univ. of Texas, Austin, TX (United States)

We derive axisymmetric equilibrium equations in the context of the hybrid Vlasov model with kinetic ions and massless fluid electrons, assuming isothermal electrons and deformed Maxwellian distribution functions for the kinetic ions. The equilibrium system comprises a Grad–Shafranov partial differential equation and an integral equation. These equations can be utilized to calculate the equilibrium magnetic field and ion distribution function, respectively, for given particle density or given ion and electron toroidal current density profiles. The resulting solutions describe states characterized by toroidal plasma rotation and toroidal electric current density. Additionally, due to the presence of fluid electrons, these equilibria also exhibit a poloidal current density component. This is in contrast to the fully kinetic Vlasov model, where axisymmetric Jeans equilibria can only accommodate toroidal currents and flows, given the absence of a third integral of the microscopic motion.

View Journal Article

Research Organization:: Univ. of Texas, Austin, TX (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-04ER54742; FG05-80ET53088

OSTI ID:: 2345846

Alternate ID(s):: OSTI ID: 2339926
OSTI ID: 2578734
OSTI ID: 2997804

Journal Information:: Plasma Physics and Controlled Fusion, Journal Name: Plasma Physics and Controlled Fusion Journal Issue: 6 Vol. 66; ISSN 0741-3335; ISSN 1361-6587

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

References (25)

A hybrid-Vlasov model based on the current advance method for the simulation of collisionless magnetized plasma Valentini, F.; Trávníček, P.; Califano, F. Journal of Computational Physics, Vol. 225, Issue 1 https://doi.org/10.1016/j.jcp.2007.01.001	journal	July 2007
A kinetic model of plasma turbulence Servidio, S.; Valentini, F.; Perrone, D. Journal of Plasma Physics, Vol. 81, Issue 1 https://doi.org/10.1017/S0022377814000841	journal	October 2014
From one-dimensional fields to Vlasov equilibria: theory and application of Hermite polynomials Allanson, O.; Neukirch, T.; Troscheit, S. Journal of Plasma Physics, Vol. 82, Issue 3 https://doi.org/10.1017/S0022377816000519	journal	June 2016
Hamiltonian kinetic-Hall magnetohydrodynamics with fluid and kinetic ions in the current and pressure coupling schemes Kaltsas, D. A.; Throumoulopoulos, G. N.; Morrison, P. J. Journal of Plasma Physics, Vol. 87, Issue 5 https://doi.org/10.1017/S0022377821000994	journal	October 2021
Chaotic and integrable magnetic fields in one-dimensional hybrid Vlasov–Maxwell equilibria Kaltsas, Dimitrios A.; Morrison, Philip J.; Throumoulopoulos, George N. Journal of Plasma Physics, Vol. 89, Issue 4 https://doi.org/10.1017/S0022377823000557	journal	July 2023
Vlasov tokamak equilibria with sheared toroidal flow and anisotropic pressure Kuiroukidis, Ap; Throumoulopoulos, G. N.; Tasso, H. Physics of Plasmas, Vol. 22, Issue 8 https://doi.org/10.1063/1.4928111	journal	August 2015
Hybrid simulations of magnetic reconnection with kinetic ions and fluid electron pressure anisotropy Le, A.; Daughton, W.; Karimabadi, H. Physics of Plasmas, Vol. 23, Issue 3 https://doi.org/10.1063/1.4943893	journal	March 2016
A tokamak pertinent analytic equilibrium with plasma flow of arbitrary direction Kaltsas, D. A.; Kuiroukidis, A.; Throumoulopoulos, G. N. Physics of Plasmas, Vol. 26, Issue 12 https://doi.org/10.1063/1.5120341	journal	December 2019
Role of sheared E × B flow in self-organized, improved confinement states in magnetized plasmas Burrell, K. H. Physics of Plasmas, Vol. 27, Issue 6 https://doi.org/10.1063/1.5142734	journal	June 2020
Axisymmetric ideal magnetohydrodynamic equilibria with incompressible flows Tasso, H.; Throumoulopoulos, G. N. Physics of Plasmas, Vol. 5, Issue 6 https://doi.org/10.1063/1.872912	journal	June 1998
Plasma simulation studies using multilevel physics models Park, W.; Belova, E. V.; Fu, G. Y. Physics of Plasmas, Vol. 6, Issue 5 https://doi.org/10.1063/1.873437	journal	May 1999
Kinetic construction of the high-beta anisotropic-pressure equilibrium in the magnetosphere Aibara, H.; Yoshida, Z.; Shirahata, K. Physics of Plasmas, Vol. 28, Issue 12 https://doi.org/10.1063/5.0069971	journal	December 2021
Dispersive and kinetic effects on kinked Alfvén wave packets: A comparative study with fluid and hybrid models Tenerani, Anna; González, Carlos; Sioulas, Nikos Physics of Plasmas, Vol. 30, Issue 3 https://doi.org/10.1063/5.0134726	journal	March 2023
Exact solutions of the stationary MHD equations for a rotating toroidal plasma Maschke, E. K.; Perrin, H. Plasma Physics, Vol. 22, Issue 6 https://doi.org/10.1088/0032-1028/22/6/007	journal	June 1980
Magnetohydrodynamic hybrid simulation model with kinetic thermal ions and energetic particles Todo, Y.; Sato, M.; Wang, Hao Plasma Physics and Controlled Fusion, Vol. 63, Issue 7 https://doi.org/10.1088/1361-6587/ac0162	journal	June 2021
Multi-phase hybrid simulation of energetic particle driven magnetohydrodynamic instabilities in tokamak plasmas Todo, Y. New Journal of Physics, Vol. 18, Issue 11 https://doi.org/10.1088/1367-2630/18/11/115005	journal	November 2016
Achievement of ion temperatures in excess of 100 million degrees Kelvin in the compact high-field spherical tokamak ST40 McNamara, S. A. M.; Asunta, O.; Bland, J. Nuclear Fusion, Vol. 63, Issue 5 https://doi.org/10.1088/1741-4326/acbec8	journal	March 2023
Energy-Casimir stability of hybrid Vlasov-MHD models Tronci, Cesare; Tassi, Emanuele; Morrison, Philip J. Journal of Physics A: Mathematical and Theoretical, Vol. 48, Issue 18 https://doi.org/10.1088/1751-8113/48/18/185501	journal	April 2015
Stellar Dynamics: Only Isolating Integrals Should be used in Jeans' Theorem Lynden-Bell, D. Monthly Notices of the Royal Astronomical Society, Vol. 124, Issue 1 https://doi.org/10.1093/mnras/124.1.1	journal	January 1962
On the Theory of Star-Streaming and the Structure of the Universe Jeans, J. H. Monthly Notices of the Royal Astronomical Society, Vol. 76, Issue 2 https://doi.org/10.1093/mnras/76.2.70	journal	December 1915
Local Kinetic Effects in Two-Dimensional Plasma Turbulence Servidio, S.; Valentini, F.; Califano, F. Physical Review Letters, Vol. 108, Issue 4 https://doi.org/10.1103/PhysRevLett.108.045001	journal	January 2012
Hamiltonian description of the ideal fluid Morrison, P. J. Reviews of Modern Physics, Vol. 70, Issue 2 https://doi.org/10.1103/RevModPhys.70.467	journal	April 1998
Tokamak-like Vlasov equilibria Tasso, Henri; Throumoulopoulos, George The European Physical Journal D, Vol. 68, Issue 6 https://doi.org/10.1140/epjd/e2014-50007-9	journal	June 2014
The Role of Parametric Instabilities in Turbulence Generation and Proton Heating: Hybrid Simulations of Parallel-propagating Alfvén Waves González, C. A.; Tenerani, A.; Velli, M. The Astrophysical Journal, Vol. 904, Issue 1 https://doi.org/10.3847/1538-4357/abbccd	journal	November 2020
Subproton-Scale Cascades in Solar wind Turbulence: Driven Hybrid-Kinetic Simulations Cerri, S. S.; Califano, F.; Jenko, F. The Astrophysical Journal, Vol. 822, Issue 1 https://doi.org/10.3847/2041-8205/822/1/l12	journal	April 2016

Similar Records

Related Subjects

Physics
hybrid kinetic models
magnetic confinement
tokamak equilibria

Axisymmetric hybrid Vlasov equilibria with applications to tokamak plasmas

Citation Formats

References (25)

Similar Records

Related Subjects