# Publications This page tracks papers that define, extend, or use the NF2 method. ## Core Method And Tool Development - Jarolim, Thalmann, Veronig, and Podladchikova 2023, *Nature Astronomy*, "Probing the solar coronal magnetic field with physics-informed neural networks." DOI: [10.1038/s41550-023-02030-9](https://doi.org/10.1038/s41550-023-02030-9). Original NF2 method. - Jarolim, Tremblay, Rempel, Molnar, Veronig, Thalmann, and Podladchikova 2024, *The Astrophysical Journal Letters*, "Advancing solar magnetic field extrapolations through multiheight magnetic field measurements." 963, L21. DOI: [10.3847/2041-8213/ad2450](https://doi.org/10.3847/2041-8213/ad2450). Multi-height NF2 extension. - Jarolim, Veronig, Purkhart, Zhang, and Rempel 2024, *The Astrophysical Journal Letters*, "Magnetic field evolution of the solar active region 13664." 976, L12. DOI: [10.3847/2041-8213/ad8914](https://doi.org/10.3847/2041-8213/ad8914). Vector-potential implementation. - da Silva Santos, Dunnington, Jarolim, Danilovic, and Criscuoli 2025, *The Astrophysical Journal*, "Magnetic Reconnection in a Compact Magnetic Dome: Chromospheric Emissions and High-velocity Plasma Flows." 985, 157. DOI: [10.3847/1538-4357/adcf23](https://doi.org/10.3847/1538-4357/adcf23). Embedded observations from high-resolution data. ## Selected Applications - Korsos, Jarolim, Erdelyi, Veronig, Morgan, and Zuccarello 2024, *The Astrophysical Journal*, "First insights into the applicability and importance of different 3D magnetic field extrapolation approaches for studying the preeruptive conditions of solar active regions." 962, 171. DOI: [10.3847/1538-4357/ad18bd](https://doi.org/10.3847/1538-4357/ad18bd). Comparison of extrapolation approaches for preeruptive active-region conditions. - Purkhart, Veronig, Kliem, Jarolim, Dissauer, Dickson, Podladchikova, and Krucker 2024, *Astronomy & Astrophysics*, "Multipoint study of the rapid filament evolution during a confined C2 flare on 28 March 2022, leading to eruption." 689, A259. DOI: [10.1051/0004-6361/202450092](https://doi.org/10.1051/0004-6361/202450092). Event analysis with NF2 magnetic-field context. - McKevitt, Jarolim, Matthews, Baker, Temmer, Veronig, Reid, and Green 2024, *The Astrophysical Journal Letters*, "The Link between Nonthermal Velocity and Free Magnetic Energy in Solar Flares." 961, L29. DOI: [10.3847/2041-8213/ad1bee](https://doi.org/10.3847/2041-8213/ad1bee). Application to the relation between nonthermal velocity and free magnetic energy. - Purkhart, Veronig, Jarolim, Dissauer, and Thalmann 2025, *Astronomy & Astrophysics*, "Magnetic structure and asymmetric eruption of a 500 Mm filament rooted in weak-field regions." 701, A249. DOI: [10.1051/0004-6361/202555860](https://doi.org/10.1051/0004-6361/202555860). Large-field-of-view NF2 application.