Publications and theses¶
A good source of various benchmarks and other tests is A. Hakim’s Simulation Journal and its github webpage.
We have also compiled input files for the simulations reported in publications in this repository. Note that this collection is incomplete as not all authors have desposited they input files with us.
Doctoral Dissertations¶
Bradshaw, K. (2024, February 23) “Emitting Wall Boundary Conditions in Continuum Kinetic Simulations: Unlocking the Effects of Energy-Dependent Material Emission on the Plasma Sheath.” Ph.D. dissertation, Virginia Polytechnic Institute and State University, 2024. https://vtechworks.lib.vt.edu/handle/10919/118137
Mandell, N. R. (2021, March 26) “Magnetic Fluctuations in Gyrokinetic Simulations of Scrape-Off Layer Turbulence”. Ph.D. dissertation, Princeton University, 2021. arXiv:2103.16062
Juno, J. (2020, March 27) “A Deep Dive into the Distribution Function: Understanding Phase Space Dynamics Using Continuum Vlasov-Maxwell Simulations”. Ph. D. dissertation, University of Maryland, College Park, 2020. arXiv:2005.13539
Bernard, T. N. “Discontinuous Galerkin Modeling of Plasma Turbulence in a Simple Magnetized Torus”. Ph. D. dissertation, The University of Texas at Austin, 2019. PDF
Ng, J. “Fluid closures for the modeling of reconnection and instabilities in magnetotail current sheets”. Ph.D. dissertation, Princeton University, 2018. PDF
Cagas, P. (2018, July 30). “Continuum kinetic simulations of plasma sheaths and instabilities”. Ph.D. dissertation, Virginia Polytechnic Institute and State University, 2018. https://vtechworks.lib.vt.edu/handle/10919/84979
Wang, L. (2014, Aug 30). “Integrating Kinetic Physics in Fluid Models for Magnetic Reconnection”. Ph.D. dissertation, University of New Hampshire, 2014.
Shi, E. L. (2017, August 24). “Gyrokinetic Continuum Simulation of Turbulence in Open-Field-Line Plasmas”, Ph.D. dissertation, Princeton University, 2017 arXiv:1708.07283
Algorithms papers¶
Francisquez, M., Mandell, N. R., Hakim, A., Hammett, G. W. (2024) “Conservative discontinuous Galerkin interpolation: sheared boundary conditions” Compute Physics Communications 298, 109109. https://doi.org/10.1016/j.cpc.2024.109109
Cagas, P and Hakim, A and Srinivasan, B. (2021) “A boundary value “reservoir problem” and boundary conditions for multi-moment multifluid simulations of sheaths.” Physics of Plasmas 28.1. https://doi.org/10.1063/5.0024510
Hakim, A and Juno, J. (2020). “Alias-free, Matrix-free, and Quadrature-free Discontinuous Galerkin Algorithms for (Plasma) Kinetic Equations”. SC20: Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis, IEEE Press. https://doi.org/10.1109/SC41405.2020.00077
Francisquez, M., Bernard, T. N., Mandell, N. R., Hammett, G. W., Hakim, A. (2020). “Conservative discontinuous Galerkin scheme of a gyro-averaged Dougherty collision operator”, Nuclear Fusion, 60, (9). https://doi.org/10.1088%2F1741-4326%2Faba0c9
Hakim, A., Francisquez, M., Juno, J., & Hammett, G. W. (2020). “Conservative discontinuous Galerkin schemes for nonlinear Dougherty–Fokker–Planck collision operators”, Journal of Plasma Physics, 86, (4). https://doi.org/10.1017/S0022377820000586
Wang, L., Hakim, A., Ng, J., Dong, C., & Germaschewski, K. (2020). “Exact and locally implicit source term solvers for multifluid-Maxwell systems”, Journal of Computational Physics, 415, 109510. https://doi.org/10.1016/j.jcp.2020.109510
Cagas, P., Hakim, A., & Srinivasan, B. (2020). “Plasma-material boundary conditions for discontinuous Galerkin continuum-kinetic simulations, with a focus on secondary electron emission”, Journal of Computational Physics, 406, 109215. https://doi.org/10.1016/j.jcp.2019.109215
Mandell, N. R., Hakim, A., Hammett, G. W., & Francisquez, M. (2020). “Electromagnetic full-f gyrokinetics in the tokamak edge with discontinuous Galerkin methods”, Journal of Plasma Physics, 86. https://doi.org/10.1017/S0022377820000070
Juno, J., Hakim, A., TenBarge, J., Shi, E., & Dorland, W. (2018). “Discontinuous Galerkin algorithms for fully kinetic plasmas”, Journal of Computational Physics, 353, 110–147. https://doi.org/10.1016/j.jcp.2017.10.009
Hakim, A., Hammett, G. W., Shi, E. L. (2014). “On discontinuous Galerkin discretizations of second-order derivatives”, arXiv:1405.5907
Physics papers¶
Bradshaw, K., Srinivasan, B. (2024). “Energy-dependent implementation of secondary electron emission models in continuum kinetic sheath simulations”, Plasma Sources Science and Technology 33, 035008. https://doi.org/10.1088/1361-6595/ad331c
Liu, Z., White, R., Francisquez, M., Milanese, L. M., Loureiro, N. F. (2024). “A two-dimensional numerical study of ion-acoustic turbulence”, Journal of Plasma Physics 90, 965900101. https://doi.org/10.1017/S0022377824000060
Francisquez, M., Rosen, M. H., Mandell, N. R., Hakim, A., Forest, C. B., Hammett, G. W. (2023). “Towards continuum gyrokinetic study of high-field mirrors” Physics of Plasmas 30, 102504. https://doi.org/10.1063/5.0152440
Cagas, P., Juno, J., Hakim, A., LaJoie, A., Chu, F., Langendorf, S., Srinivasan, B. (2023). “An investigation of shock formation versus shock mitigation of colliding plasma jets”, Physics of Plasmas, 30, 053903. https://doi.org/10.1063/5.0135389.
Skolar, C. R., Bradshaw, K., Juno, J., Srinivasan, B., (2023), “Continuum kinetic investigation of the impact of bias potentials in the current saturation regime on sheath formation”, Physics of Plasmas, 30, 012504. https://doi.org/10.1063/5.0134656.
Rodman, J., Cagas, P., Hakim, A., Srinivasan, B. (2022). “A kinetic interpretation of the classical Rayleigh-Taylor instability”, Physical Review E, PhysRevE.105.065209.
Francisquez, M., Juno, J., Hakim, A., Hammett, G. W., Ernst, D. R. (2022). “Improved multispecies Dougherty collisions” Journal of Plasma Physics 88, 905880303. https://doi.org/10.1017/S0022377822000289
Bernard, T. N., Halpern, F., Hammett, G. W., Francisquez, M., Mandell, N. R., Juno, J., Hakim, A., Wilkie, G., Guterl, J. (2022). “Kinetic modeling of neutral transport for a continuum gyrokinetic code”, Physics of Plasmas, 29, 052501. https://doi.org/10.1063/5.0087131
Mandell, N. R., Hammett, G. W., Hakim, A., Francisquez, M. (2022). “Reduction of transport due to magnetic shear in gyrokinetic simulations of the scrape-off layer”, arXiv:2112.14220. Under review in Plasma Physics and Controlled Fusion.
Mandell, N. R., Hammett, G. W., Hakim, A., Francisquez, M. (2022). “Turbulent broadening of electron heat-flux width in electromagnetic gyrokinetic simulations of a helical scrape-off layer model”, Physics of Plasmas, 29, 042504. https://doi.org/10.1063/5.0082486
Mathews, A., Mandell, M., Francisquez, M., Hughes, J., Hakim, A. (2021). “Turbulent field fluctuations in gyrokinetic and fluid plasmas”, Physics of Plasmas, 28, 112301. https://doi.org/10.1063/5.0066064
Wang, L., Hakim, A., Srinivasan, B., Juno, J. (2021). “Electron cyclotron drift instability and anomalous transport: two-fluid moment theory and modeling”, arXiv:2107.09874.
Jenab, S. M., Brodin, G., Juno, J., Kourakis, I. (2021). “Ultrafast Electron Holes in Plasma Phase Space Dynamics”, Scientific Reports, 11. https://doi.org/10.1038/s41598-021-95652-w
Juno, J., Howes, G. G., TenBarge, J. M., Wilson III, L. B., Spitkovsky, A., Caprioli, D., Klein, K. G., Hakim, A. (2021). “A field-particle correlation analysis of a perpendicular magnetized collisionless shock”, Journal of Plasma Physics, 87, (3). https://doi.org/10.1017/S0022377821000623
Pezzi, O., Liang, H., Juno, J. L., Cassak, P. A., Vásconez, C. L., Sorriso-Valvo, L., Perrone, D., Servidio, S., Roytershteyn, V., TenBarge, J.M., & Matthaeus, W. H. (2021). “Dissipation measures in weakly collisional plasmas”, Monthly Notices of the Royal Astronomical Society, 505, (4), Pages 4857–4873. https://doi.org/10.1093/mnras/stab1516
Ng, J., Hakim, A., Wang, L., & Bhattacharjee, A. (2020). “An improved ten-moment closure for reconnection and instabilities”, Physics of Plasmas, 27, 082106. https://doi.org/10.1063/5.0012067
Juno, J., Swisdak, M. M., TenBarge. J. M., Skoutnev, V., & Hakim, A. (2020). “Noise-induced magnetic field saturation in kinetic simulations”, Journal of Plasma Physics, 86, (4). https://doi.org/10.1017/S0022377820000707
Ng, J., Chen, L.‐J., Hakim, A., & Bhattacharjee, A. (2020). “Reconstruction of electron and ion distribution functions in a magnetotail reconnection diffusion region”, Journal of Geophysical Research: Space Physics, 125, e2020JA027879. https://doi.org/10.1029/2020JA027879
Francisquez, M., Bernard, T. N., Zhu, B., Hakim, A., Rogers, B. N., & Hammett, G. W. (2020). “Fluid and gyrokinetic turbulence in open field-line, helical plasmas”, Physics of Plasmas, 27, 082301. https://doi.org/10.1063/5.0005333
Bernard, T. N., Stoltzfus-Dueck, T., Gentle, K. W., Hakim, A., Hammett, G. W., & Shi, E. L. (2020). “Investigating shear flow through continuum gyrokinetic simulations of limiter biasing in the Texas Helimak”, Physics of Plasmas, 27, 062304. https://doi.org/10.1063/5.0003904
Hakim, A. H., Mandell, N. R., Bernard, T. N., Francisquez, M., Hammett, G. W., & Shi, E. L. “Continuum electromagnetic gyrokinetic simulations of turbulence in the tokamak scrape-off layer and laboratory devices”, Physics of Plasmas, 27, 042304. https://doi.org/10.1063/1.5141157
Pusztai, I., Juno, J., Brandenburg, A., Tenbarge, J. M., Hakim, A., Francisquez, M., & Sundström, A. (2020). “Dynamo in Weakly Collisional Nonmagnetized Plasmas Impeded by Landau Damping of Magnetic Fields”, Physical Review Letters, 124, 255102. https://link.aps.org/doi/10.1103/PhysRevLett.124.255102
TenBarge, J. M., Ng, J., Juno, J., Wang, L., Hakim, A. & Bhattacharjee, A. (2019). “An extended MHD study of the 16 October 2015 MMS diffusion region crossing”, Journal of Geophysical Research: Space Physics, 124, 8474-8487. https://doi.org/10.1029/2019JA026731
Ng, J., Hakim, A., Juno, J., & Bhattacharjee, A. (2019). Drift instabilities in thin current sheets using a two‐fluid model with pressure tensor effects. Journal of Geophysical Research: Space Physics, 124, 3331-3346. https://doi.org/10.1029/2018JA026313
Dong, C., Wang, L., Hakim, A., Bhattacharjee, A., Slavin, J. A., DiBraccio, G. A., & Germaschewski, K. (2019). “A Novel Ten-Moment Multifluid Model for Mercury: From the Planetary Conducting Core to the Dynamic Magnetosphere”, Geophysical Review Letters, 46, 11584-11596. https://doi.org/10.1029/2019GL083180
Shi, E. L., Hammett, G. W., Stoltzfus-Dueck, T., & Hakim, A. (2019). “Full-f gyrokinetic simulation of turbulence in a helical open-field-line plasma”, Physics of Plasmas, 26, 012307. https://doi.org/10.1063/1.5074179
Bernard, T. N., Shi, E. L., Gentle, K. W., Hakim, A., Hammett, G. W., Stoltzfus-Dueck, T., & Taylor, E. I. (2019). “Gyrokinetic continuum simulations of plasma turbulence in the Texas Helimak”, Physics of Plasmas, 26, 042301. https://doi.org/10.1063/1.5085457
Skoutnev, V., Hakim, A., Juno, J., & TenBarge, J. M. (2019). “Temperature-Dependent Saturation of Weibel-Type Instabilities in Counter-streaming Plasmas”, Astrophysical Journal Letters, 872, (2). https://doi.org/10.3847%2F2041-8213%2Fab0556
Sundström, A., Juno, J., TenBarge, J. M., & Pusztai, I. (2019). “Effect of a weak ion collisionality on the dynamics of kinetic electrostatic shocks”, Journal of Plasma Physics, 85. https://doi.org/10.1017/S0022377819000023
Srinivasan, B. and Hakim, A. (2018). “Role of electron inertia and electron/ion finite Larmor radius effects in low-beta, magneto-Rayleigh-Taylor instability”, Physics of Plasmas, 25, 092108. https://doi.org/10.1063/1.5046098
Ng, J., Hakim, A., & Bhattacharjee, A. (2018). “Using the maximum entropy distribution to describe electrons in reconnecting current sheets”, Physics of Plasmas, 25, 082113. https://doi.org/10.1063/1.5041758
Wang, L., Germaschewski, K., Hakim, A., Dong, C., Raeder, J., & Bhattacharjee, A. (2018). “Electron Physics in 3-D Two-Fluid 10-Moment Modeling of Ganymede’s Magnetosphere”, Journal of Geophysical Research: Space Physics, 41 (A3), 8688–16. https://doi.org/10.1002/2017JA024761
Pusztai, I., TenBarge, J. M., Csapó, A. N., Juno, J., Hakim, A., Yi, K & Fülöp, T. (2018). “Low Mach-number collisionless electrostatic shocks and associated ion acceleration”, Plasma Physics and Controlled Fusion, 60 (3), 035004–11. https://doi.org/10.1088/1361-6587/aaa2cc
Shi, E. L., Hammett, G. W., Stolzfus-Dueck, T., Hakim, A. (2017). “Gyrokinetic continuum simulation of turbulence in a straight open-field-line plasma”, Journal of Plasma Physics, 83, 1–27. https://doi.org/10.1017/S002237781700037X
Cagas, P., Hakim, A., Scales, W., Srinivasan, B. (2017). “Nonlinear saturation of the Weibel instability”, Physics of Plasmas, 24 (11), 112116. https://doi.org/10.1063/1.4994682
Ng, J., Hakim, A., Bhattacharjee, A., Stanier, A., & Daughton, W. (2017). “Simulations of anti-parallel reconnection using a nonlocal heat flux closure”, Physics of Plasmas, 24 (8), 082112. https://doi.org/10.1063/1.4993195
Stanier, A., Daughton, W., Simakov, A. N., Chacón, L., Le, A., Karimabadi, H., Ng, J., & Bhattacharjee, A. (2017). “The role of guide field in magnetic reconnection driven by island coalescence”, Physics of Plasmas, 24, 022124. https://doi.org/10.1063/1.4976712
Cagas, P., Hakim, A., Juno, J., Srinivasan, B. (2017). “Continuum kinetic and multi-fluid simulations of classical sheaths”, Physics of Plasmas, 24 (2), 022118. https://doi.org/10.1063/1.4976544
Ng, J., Huang, Y.-M., Hakim, A., Bhattacharjee, A., Stanier, A., Daughton, W., Wang, L., & Germaschewski, K. (2015). “The island coalescence problem: Scaling of reconnection in extended fluid models including higher-order moments”, Physics of Plasma, 22, 112104. https://doi.org/10.1063/1.4935302
Stanier, A., Daughton, W., Chacón, L., Karimabadi, H., Ng, J., Huang, Y.-M., Hakim, A., & Bhattacharjee, A. (2015). “Role of Ion Kinetic Physics in the Interaction of Magnetic Flux Ropes”, Physical Review Letters, 115, 175004. https://doi.org/10.1103/PhysRevLett.115.175004
Wang, L., Hakim, A. H., Bhattacharjee, A., & Germaschewski, K. (2015). “Comparison of multi-fluid moment models with particle-in-cell simulations of collisionless magnetic reconnection”, Physics of Plasmas, 22 (1), 012108. https://doi.org/10.1063/1.4906063