2022
- E. Toler, A.J. Cerfon, and D. Malhotra, A fast, accurate, and easy to implement quadrature scheme for singular integrals in axisymmetric geometries, submitted to the Journal of Plasma Physics (2022)
- G. Le Bars, J.-Ph. Hogge, J. Loizu, S. Alberti, F. Romano, and A. Cerfon, Self-consistent formation and steady-state characterization of trapped high-energy electron clouds in the presence of a neutral gas background, Physics of Plasmas 29, 082105 (2022);[arXiv]
- F. Wechsung, A. Giuliani, M. Landreman, A. Cerfon, and G. Stadler, Stochastic and a posteriori optimization to mitigate coil manufacturing errors in stellarator design, Plasma Physics and Controlled Fusion 64, 105021 (2022);[arXiv]
- A. Giuliani, F. Wechsung, G. Stadler, A. Cerfon, and M. Landreman,Direct computation of magnetic surfaces in Boozer coordinates and coil optimization for quasisymmetry, Journal of Plasma Physics 88, 905880401 (2022);[arXiv]
- F. Wechsung, A. Giuliani, M. Landreman, A.J. Cerfon, and G. Stadler, Single-stage gradient-based stellarator coil design: stochastic optimization, Nuclear Fusion 62, 076034 (2022);[arXiv]
- F. Law, A. Cerfon, and B. Peherstorfer, Accelerating the estimation of energetic particle confinement statistics in stellarators using multifidelity Monte Carlo, Nuclear Fusion 62, 076019 (2022);[arXiv]
- F. Wechsung, M. Landreman, A. Giuliani, A.J. Cerfon, and G. Stadler, Precise stellarator quasi-symmetry can be achieved with electromagnetic coils, Proceedings of the National Academy of Sciences 119 e2202084119 (2022) (Open access)
- A. Giuliani, F. Wechsung, A. Cerfon, G. Stadler, and M. Landreman, Single-stage gradient-based stellarator coil design: Optimization for near-axis quasi-symmetry, Journal of Computational Physics 459, 111147 (2022); [arXiv]
2021
- S. Muralikrishnan, A.J. Cerfon, M. Frey, L.F. Ricketson, and A. Adelmann, Sparse grid-based Adaptive Noise Reduction strategy for Particle-In-Cell schemes, Journal of Computational Physics X 11, 100094 (2021); [arXiv]
- Y. Wang, D. Malhotra, and A.J. Cerfon, Comment on "Stepped pressure profile equilibria in cylindrical plasmas via partial Taylor relaxation", Journal of Plasma Physics 87, 175870202 (2021)
- D.J. Segal, A.J. Cerfon, and J.P. Freidberg, Steady state versus pulsed tokamak reactors, Nuclear Fusion 61 045001 (2021);[arXiv]
2020
- D. Qi, A. J. Majda, and A. J. Cerfon, Dimits shift, avalanche-like bursts, and solitary propagating structures in the two-field flux-balanced Hasegawa–Wakatani model for plasma edge turbulence, Physics of Plasmas 27, 102304 (2020);[arXiv] Selected as Featured article
- D. Malhotra, A.J. Cerfon, M. O'Neil, and E. Toler, Efficient high-order singular quadrature schemes in magnetic fusion, Plasma Physics and Controlled Fusion 62, 024004 (2020) (Special Issue on 3D MHD Equilibria: Flux Surfaces, Islands and Chaotic Fields);[arXiv]
- E. Kim, G.B. McFadden, and A.J. Cerfon, Elimination of MHD current sheets by modifications to the plasma wall in a fixed boundary model, Plasma Physics and Controlled Fusion 62, 044002 (2020) (Special Issue on 3D MHD Equilibria: Flux Surfaces, Islands and Chaotic Fields);[arXiv]
- T. Sanchez-Vizuet, M.E. Solano, and A.J. Cerfon, Adaptive Hybridizable Discontinuous Galerkin discretization of the Grad-Shafranov equation by extension from polygonal subdomains, Computer Physics Communications 255, 107239 (2020);[arXiv]
2019
- J.P. Lee and A.J. Cerfon, Magnetic shear due to localized toroidal flow shear in tokamaks, Plasma Physics and Controlled Fusion 61 105007 (2019);
- D. Qi, A.J. Majda and A.J. Cerfon, A Flux-Balanced Fluid Model for Collisional Plasma Edge Turbulence: Numerical Simulations with Different Aspect Ratios, Physics of Plasmas 26, 082303 108791 (2019);[arXiv]
- D. Malhotra, A.J. Cerfon, L.-M. Imbert-Gérard, and M. O'Neil, Taylor States in Stellarators: A Fast High-order Boundary Integral Solver, Journal of Computational Physics 397, 108791 (2019);[arXiv]
2018
- A.J. Majda, D. Qi and A.J. Cerfon, A flux-balanced fluid model for collisional plasma edge turbulence: model derivation and basic physical features, Physics of Plasmas 25,102307 (2018);[arXiv]
- T. Sanchez-Vizuet and A.J. Cerfon, Pseudo spectral collocation with Maxwell polynomials for kinetic equations with energy diffusion, Plasma Physics and Controlled Fusion 60, 025018 (2018);[arXiv]
- D.A. Gates, D. Anderson, S. Anderson, M. Zarnstorff, D.A. Spong, H. Weitzner, G.H. Neilson, D. Ruzic, D. Andruczyk, J.H. Harris, H. Mynick, C.C. Hegna, O. Schmitz, J.N. Talmadge, D. Curreli, D. Maurer, A.H. Boozer, S. Knowlton, J.P. Allain, D. Ennis, G. Wurden, A. Reiman, J.D. Lore, M. Landreman, J.P. Freidberg, S.R. Hudson, M. Porkolab, D. Demers, J. Terry, E. Edlund, S.A. Lazerson, N. Pablant, R. Fonck, F. Volpe, J. Canik, R. Granetz, A. Ware, J.D. Hanson, S. Kumar, C. Deng, K. Likin, A.J. Cerfon, A. Ram, A. Hassam, S. Prager, C. Paz-Soldan, M.J. Pueschel, I. Joseph, A.H. Glasser, Stellarator Research Opportunities: A Report of the National Stellarator Coordinating Committee, Journal of Fusion Energy 37, 51 (2018)
- M. O'Neil and A.J. Cerfon, An integral equation-based numerical solver for Taylor states in toroidal geometries, Journal of Computational Physics 359, 263 (2018);[arXiv]
2017
- J. Guadagni and A.J. Cerfon, Fast and spectrally accurate evaluation of gyroaverages in non-periodic gyrokinetic-Poisson simulations, Journal of Plasma Physics 83, 905830407 (2017);[arXiv]
- T. Askham and A.J. Cerfon, An adaptive fast multipole accelerated Poisson solver for complex geometries, Journal of Computational Physics 344, 1 (2017);[arXiv]
- J.P. Lee, J.P. Freidberg, A.J. Cerfon and M. Greenwald, An analytic scaling relation for the maximum
tokamak elongation against n=0 MHD resistive wall modes, Nuclear Fusion 57, 066051 (2017);
[arXiv]
- L.F. Ricketson and A.J. Cerfon, Sparse grid techniques for particle-in-cell schemes, Plasma Physics and Controlled Fusion 59, 024002 (2017) (Special Issue article - 2016 International Sherwood Fusion Theory Conference);[arXiv]
2016
- J. Ball, F.I. Parra, J.P. Lee, and A.J. Cerfon, Effect of the Shafranov shift and the gradient of β on intrinsic momentum transport in up-down asymmetric tokamaks, Plasma Physics and Controlled Fusion 58, 125015 (2016); [arXiv]
- A.J. Cerfon, Vortex dynamics and shear-layer instability in high-intensity cyclotrons, Physical Review Letters 116, 174801 (2016); [arXiv]
- L.F. Ricketson, A.J. Cerfon, M. Racch, and J.P. Freidberg, Accurate Derivative Evaluation for any Grad-Shafranov Solver, Journal of Computational Physics 305, 744 (2016); [arXiv]
2015
- J.P. Freidberg, A.J. Cerfon, and J.P. Lee, Tokamak elongation: how much is too much? Part 1. Theory, Journal of Plasma Physics 81, 515810607 (2015); [arXiv]
- J.P. Lee, A.J. Cerfon, J.P. Freidberg, and M. Greenwald , Tokamak elongation: how much is too much? Part 2. Numerical Results, Journal of Plasma Physics 81, 515810608 (2015); [arXiv]
- A. Reiman, N.M. Ferraro, A. Turnbull, J.K. Park, A. Cerfon, T.E. Evans, M.J. Lanctot, E.A. Lazarus, Y. Liu, G. McFadden, D. Monticello, Y. Suzuki, Tokamak Plasma High Field Side Response to an n = 3 Magnetic Perturbation: A Comparison of 3D Equilibrium Solutions from Seven Different Codes, Nuclear Fusion 55, 063026 (2015);
- J. Wilkening, A.J. Cerfon and M. Landreman, Projected dynamics of kinetic equations with energy diffusion in spaces of orthogonal polynomials, Journal of Computational Physics 294, 58 (2015);[arXiv]
- J. Wilkening and A.J. Cerfon, A Spectral Transform Method for Singular
Sturm-Liouville Problems with Applications to Energy Diffusion in
Plasma Physics, SIAM Journal on Applied Mathematics 75, 350 (2015);[arXiv]
- J.P. Lee and A.J. Cerfon, ECOM: a fast and accurate solver for toroidal axisymmetric MHD equilibria, Computer Physics Communications 190, 72 (2015);[arXiv]
2014
- A.J. Cerfon and M. O'Neil, Exact axisymmetric Taylor states for shaped plasmas, Physics of Plasmas 21, 064501 (2014);[arXiv]
2013
- A. Pataki, A.J. Cerfon, J.P. Freidberg, L.Greengard, M. O'Neil, A fast, high-order solver for the Grad-Shafranov equation, Journal of Computational Physics 243, 28 (2013);[arXiv]
- A.J. Cerfon, J.P. Freidberg, F.I. Parra, T.A. Antaya, Analytic fluid theory of beam spiraling in high-intensity cyclotrons, Physical Review Special Topics -- Accelerators and Beams 16, 024202 (2013);[arXiV]
2011
- A.J. Cerfon and J.P. Freidberg, Magnetohydrodynamic stability comparison theorems revisited, Physics of Plasmas 18, 012505 (2011)
2010
- A.J. Cerfon and J.P. Freidberg, "One size fits all" analytic solutions to the Grad-Shafranov equation, Physics of Plasmas 17, 032502 (2010)
2009
- A.J. Cerfon, E.M. Choi, C.D. Marchewka, I. Mastovsky, M.A. Shapiro, J.R. Sirigiri, R. J. Temkin, Observation and Study of Low-Frequency Oscillations in a 1.5-MW 110-GHz Gyrotron, IEEE Transactions on Plasma Science, Vol. 37, Number 7, pp.1219 - 1224 (2009)
2007
- E.M. Choi, A.J. Cerfon, I. Mastovsky, M.A. Shapiro, J.R. Sirigiri, R.J. Temkin, Efficiency Enhancement of a 1.5-MW, 110-GHz Gyrotron with a Single-Stage Depressed Collector, Fusion Science and Technology, Volume 52, Number 2, pp.334 - 339 (2007)
- Sparse grids based noise reduction for the numerical simulation of kinetic plasmas, INS Colloquium, Shanghai Jiao Tong University, January 11 2022
- Magnetohydrodynamic equilibrium in non-axisymmetric toroidal domains: existence of solutions and current singularities, Analysis of Fluids Seminar, Princeton University, February 20 2020
- Efficient Integral Equation Based Solvers for Optimized Magnetic Fusion Devices, Applied Math Colloquium, NJIT, November 15 2019
- Efficient numerical methods for stellarator optimization, Plasma Physics Seminar, University of Wisconsin, Madison, October 28 2019
- Mathematical challenges in modeling beam dynamics in cyclotrons, KI-Net Conference on Forward and Inverse Problems in Kinetic Theory, University of Wisconsin, Madison, October 27 2019
- Andy and the Fusionauts, Scientific Grand Challenges and New Perspectives in Applied Mathematics: Ocean, Atmosphere and Climate Sciences, Conference to Honour the 70th Birthday of Andrew J. Majda, University of Victoria, Victoria, British Columbia, Canada, July 24-26 2019
- Fighting the curse of dimensionality in kinetic simulations of plasmas, Mini-Symposium: Interacting particle systems: Mean-field limits and applications to machine learning, ICIAM 2019, Valencia, Spain, July 19 2019
- Early results from the Simons Collaboration on stellarator optimization, 2nd US-Japan JIFT Workshop on "Progress on advanced optimization concept and modeling in stellarator-heliotrons", Madison, Wisconsin, June 19-21 2019
- Fighting the curse of dimensionality in kinetic simulations of plasmas, Mini-Workshop: Innovative Trends in the Numerical Analysis and Simulation of Kinetic Equations, Oberwolfach, Germany, December 2018
- Sparse grids Particle in Cell scheme for noise reduction in beam simulations, ICAP'18 - 13th International Computational Accelerator Physics Conference , Key West, Florida, October 2018
- Fast and high order computation of axisymmetric MHD equilibria via conformal mapping, SIAM Conference on Nonlinear Waves and Coherent Structures (NWCS18), Mini-symposium on Nonlinear Waves, Singularities, and Conformal Maps in Hydrodynamics, Physics, and Biology , Anaheim - Orange County, California, June 2018
- A fast integral equation based solver for the computation of Taylor states in toroidal geometries, Princeton Plasma Physics Laboratory Theory Seminar, Princeton, November 2017
- Computing accurate MHD equilibria for plasma waves simulations, Waves in Fusion Plasmas summer school, UPMC Paris, July 2017 -- Lecture Notes available here
- Leslie and the Fusionauts, Modern Advances in Computational and Applied Mathematics: a workshop in honor of the birthdays of Charlie Epstein and Leslie Greengard, Yale University, June 2017
- An Adaptive Fast Multipole Accelerated Poisson Solver for Complex Geometries, 2017 SIAM Conference on Computational Science and Engineering, Mini-Symposium on Integral equation methods for inhomogeneous partial differential equations, Atlanta, February 2017
- Introduction to Magnetohydrodynamics, SULI Introductory Course in Plasma Physics, Princeton Plasma Physics Laboratory, June 2016
- Classical Instabilities in Cyclotron Beams, UMD Plasma Physics Seminar, October 2015
- High performance elliptic solvers for magnetic fusion, NJIT Fluid Mechanics and Waves Seminar, October 2015
- Introduction to Magnetohydrodynamics, SULI Introductory Course in Plasma Physics, Princeton Plasma Physics Laboratory, June 2015
- Fast, high order solvers for axisymmetric MHD equilibria, Groupe de travail fusion magnetique, Universite de Nice Sophia Antipolis - Laboratoire J.A. Dieudonne, July 2014
- Beam dynamics in high intensity cyclotrons: can fusion theorists help nuclear medicine?, MIT Plasma Science and Fusion Center Seminar, May 2014
- Fast Equilibrium Solvers for magnetic fusion simulations, "Progress in numerical simulations for plasmas: Methods and Results" workshop, Labex Plas@Par and UPMC, Institut Poincare, Paris, France, March 2014
- Fluid Theory of Beam Spiraling in Isochronous Cyclotrons, BNL Accelerator Physics Seminars, December 2013
- Progress in Bringing a Star to Earth, Introductory Talk for the Kavli Frontiers of Science 2013 Symposium session on magnetic confinement fusion, Irvine, CA, November 2013
- Vlasov Equation Approach to Space Charge Effects in Isochronous Machines, 20th International Conference on Cyclotrons and their Applications, Vancouver, BC, Canada, September 2013
- Fusion driven fuel breeders, CANES-MIT INEST-INL Workshop on Non-Conventional Fissile Fuel Futures, Cambridge, USA, June 2013
- Fast computation of three dimensional MHD equilibria, Columbia University Plasma Physics Colloquium, December 2012
- Numerical Calculation of Three-Dimensional Plasma Equilibria: Fast, Accurate, or Both?, UCLA Applied Math Colloquium, February 2012
- Are fusion plasmas compressible?(and why do we care), MIT NSE PhD Research Expo, March 2010, Cambridge, MA
- Revisiting MHD stability comparison theorems: Some surprising new results, 2009 International Sherwood Fusion Theory Conference, Denver, CO