Acknowledge WarpX

Please acknowledge the role that WarpX played in your research.

In presentations

For your presentations, you can find a WarpX acknowledgment slide here. Feel free to use it to acknowledge WarpX in your presentation.

Acknowledgement Sentence

Please add the following acknowledgement sentence to your publications, it helps contributors keep in touch with the community and promote the project.

This research used the open-source particle-in-cell code WarpX. Primary WarpX contributors are with LBNL, LLNL, CEA-LIDYL, SLAC, DESY, CERN, Helion Energy, and TAE Technologies. We acknowledge all WarpX contributors.

\usepackage{hyperref}
This research used the open-source \href{https://blast-warpx.github.io}{particle-in-cell code WarpX}.
Primary WarpX contributors are with LBNL, LLNL, CEA-LIDYL, SLAC, DESY, CERN, Helion Energy, and TAE Technologies.
We acknowledge all WarpX contributors.

Citation

If your project leads to a scientific publication, please consider citing all WarpX authors via our persistent Zenodo DOI:

J.-L. Vay et al., WarpX: An advanced Particle-In-Cell code. DOI:10.5281/zenodo.4571577, https://blast-warpx.github.io (2018)

@misc{WarpX,
  author = {Vay, Jean-Luc and
            Acciarri, Marco and
            Almgren, Ann and
            Amorim, Lígia Diana and
            Andriyash, Igor and
            Angus, Justin Ray and
            Antoun, Thierry and
            Belkin, Daniel and
            Bizzozero, David and
            Blelly, Aurore and
            Clark, Stephen Eric and
            Dammak, Eya and
            Fedeli, Luca and
            Formenti, Arianna and
            Garten, Marco and
            Ge, Lixin and
            Giacomel, Lorenzo and
            Gott, Kevin and
            Giacomel, Lorenzo and
            Groenewald, Roelof E. and
            Grote, David and
            Gu, Junmin and
            Harrison, Cyrus and
            Haseeb, Muhammad and
            Huebl, Axel and
            Jambunathan, Revathi and
            Kara-Mostefa, Ilian and
            Klion, Hannah and
            Kumar, Prabhat and
            Lehe, Remi and
            Loring, Burlen and
            Marks, Thomas and
            Miller, Phil and
            Myers, Andrew and
            Pech, Juliette and
            Rheaume, Elisa and
            Richardson, Glenn and
            Rheaume, Elisa and
            Rowan, Michael E. and
            Sandberg, Ryan Thor and
            Scherpelz, Peter and
            Sinn, Alexander and
            Shapoval, Olga and
            Terzani, Davide and
            Th{\'e}venet, Maxence and
            Weichman, Kale and
            Yang, Eloise and
            Zaim, Ne{\"i}l and
            Zhang, Weiqun and
            Zhao, Yinjian and
            Zhu, Kevin Z. and
            Zoni, Edoardo},
    title     = {{WarpX: An advanced Particle-In-Cell code}},
    year      = 2018,
    publisher = {Zenodo},
    doi       = {10.5281/zenodo.4571577},
    url       = {https://doi.org/10.5281/zenodo.4571577},
    note      = {\url{https://doi.org/10.5281/zenodo.4571577}},
    howpublished = {https://blast-warpx.github.io}
 }

Since the WarpX is an actively evolving project, a specific version might be used in your work to ensure reproducibility. You can select a version-specific DOI from the release page and add the version number to the cited title, e.g. for version 25.10:

J.-L. Vay et al., WarpX: An advanced Particle-In-Cell code. version 25.10, DOI:10.5281/zenodo.17261711 https://blast-warpx.github.io (2025)

@misc{WarpXv25.10,
  author = {Vay, Jean-Luc and
            Acciarri, Marco and
            Almgren, Ann and
            Amorim, Lígia Diana and
            Andriyash, Igor and
            Angus, Justin Ray and
            Antoun, Thierry and
            Belkin, Daniel and
            Bizzozero, David and
            Blelly, Aurore and
            Clark, Stephen Eric and
            Dammak, Eya and
            Fedeli, Luca and
            Formenti, Arianna and
            Garten, Marco and
            Ge, Lixin and
            Giacomel, Lorenzo and
            Gott, Kevin and
            Giacomel, Lorenzo and
            Groenewald, Roelof E. and
            Grote, David and
            Gu, Junmin and
            Harrison, Cyrus and
            Haseeb, Muhammad and
            Huebl, Axel and
            Jambunathan, Revathi and
            Kara-Mostefa, Ilian and
            Klion, Hannah and
            Kumar, Prabhat and
            Lehe, Remi and
            Loring, Burlen and
            Marks, Thomas and
            Miller, Phil and
            Myers, Andrew and
            Pech, Juliette and
            Rheaume, Elisa and
            Richardson, Glenn and
            Rheaume, Elisa and
            Rowan, Michael E. and
            Sandberg, Ryan Thor and
            Scherpelz, Peter and
            Sinn, Alexander and
            Shapoval, Olga and
            Terzani, Davide and
            Th{\'e}venet, Maxence and
            Weichman, Kale and
            Yang, Eloise and
            Zaim, Ne{\"i}l and
            Zhang, Weiqun and
            Zhao, Yinjian and
            Zhu, Kevin Z. and
            Zoni, Edoardo},
    title     = {{WarpX: An advanced Particle-In-Cell code}},
    year      = 2025,
    publisher = {Zenodo},
    version   = {25.10},
    doi       = {10.5281/zenodo.17261711},
    url       = {https://doi.org/10.5281/zenodo.17261711},
    note      = {\url{https://doi.org/10.5281/zenodo.17261711}},
    howpublished = {https://blast-warpx.github.io}
 }

Detailed WarpX references

If your project uses a specific algorithm or component, please consider citing the respective publications in addition.

  • Lehe R, Haseeb M, Angus J, Grote D, Groenewald R, Formenti A, Huebl A, Deslippe J, Vay JL. An Efficient GPU Parallelization Strategy for Binary Collisions in Particle-In-Cell Plasma Simulations. Proceedings of the Plarform for Advanced Scientific Computing (PASC’25), 2025. DOI:10.1145/3732775.3733578

  • Vay JL, Angus JR, Shapoval O, Lehe R, Grote D, Huebl A. Energy-preserving coupling of explicit particle-in-cell with Monte Carlo collisions. Physical Review E 111, 2025. DOI:10.1103/PhysRevE.111.025306

  • Shapoval O, Zoni E, Lehe R, Thévenet M, and Vay J-L. Pseudospectral particle-in-cell formulation with arbitrary charge and current-density time dependencies for the modeling of relativistic plasmas. Physical Review E 110, 025206, 2024. DOI:10.1103/PhysRevE.110.025206

  • Sandberg R T, Lehe R, Mitchell C E, Garten M, Myers A, Qiang J, Vay J-L and Huebl A. Synthesizing Particle-in-Cell Simulations Through Learning and GPU Computing for Hybrid Particle Accelerator Beamlines. Proc. of Platform for Advanced Scientific Computing (PASC’24), PASC24 Best Paper Award, 2024. DOI:10.1145/3659914.3659937

  • Sandberg R T, Lehe R, Mitchell C E, Garten M, Qiang J, Vay J-L and Huebl A. Hybrid Beamline Element ML-Training for Surrogates in the ImpactX Beam-Dynamics Code. 14th International Particle Accelerator Conference (IPAC’23), WEPA101, 2023. DOI:10.18429/JACoW-IPAC2023-WEPA101

  • Fedeli L, Huebl A, Boillod-Cerneux F, Clark T, Gott K, Hillairet C, Jaure S, Leblanc A, Lehe R, Myers A, Piechurski C, Sato M, Zaim N, Zhang W, Vay J-L, Vincenti H. Pushing the Frontier in the Design of Laser-Based Electron Accelerators with Groundbreaking Mesh-Refined Particle-In-Cell Simulations on Exascale-Class Supercomputers. SC22: International Conference for High Performance Computing, Networking, Storage and Analysis (SC). ISSN:2167-4337, pp. 25-36, Dallas, TX, US, 2022. 2022 ACM Gordon Bell Prize Winner, DOI:10.1109/SC41404.2022.00008 (preprint here)

  • Huebl A, Lehe R, Zoni E, Shapoval O, Sandberg R T, Garten M, Formenti A, Jambunathan R, Kumar P, Gott K, Myers A, Zhang W, Almgren A, Mitchell C E, Qiang J, Sinn A, Diederichs S, Thevenet M, Grote D, Fedeli L, Clark T, Zaim N, Vincenti H, Vay JL. From Compact Plasma Particle Sources to Advanced Accelerators with Modeling at Exascale. Proceedings of the 20th Advanced Accelerator Concepts Workshop (AAC’22), in print, 2023. arXiv:2303.12873

  • Huebl A, Lehe R, Mitchell C E, Qiang J, Ryne R D, Sandberg R T, Vay JL. Next Generation Computational Tools for the Modeling and Design of Particle Accelerators at Exascale. Proceedings of the 2022 North American Particle Accelerator Conference (NAPAC’22), TUYE2, pp. 302-306, 2022. arXiv:2208.02382, DOI:10.18429/JACoW-NAPAC2022-TUYE2

  • Fedeli L, Zaim N, Sainte-Marie A, Thevenet M, Huebl A, Myers A, Vay JL, Vincenti H. PICSAR-QED: a Monte Carlo module to simulate Strong-Field Quantum Electrodynamics in Particle-In-Cell codes for exascale architectures. New Journal of Physics 24 025009, 2022. DOI:10.1088/1367-2630/ac4ef1

  • Lehe R, Blelly A, Giacomel L, Jambunathan R, Vay JL. Absorption of charged particles in perfectly matched layers by optimal damping of the deposited current. Physical Review E 106 045306, 2022. DOI:10.1103/PhysRevE.106.045306

  • Zoni E, Lehe R, Shapoval O, Belkin D, Zaim N, Fedeli L, Vincenti H, Vay JL. A hybrid nodal-staggered pseudo-spectral electromagnetic particle-in-cell method with finite-order centering. Computer Physics Communications 279, 2022. DOI:10.1016/j.cpc.2022.108457

  • Myers A, Almgren A, Amorim LD, Bell J, Fedeli L, Ge L, Gott K, Grote DP, Hogan M, Huebl A, Jambunathan R, Lehe R, Ng C, Rowan M, Shapoval O, Thevenet M, Vay JL, Vincenti H, Yang E, Zaim N, Zhang W, Zhao Y, Zoni E. Porting WarpX to GPU-accelerated platforms. Parallel Computing. 2021 Sep, 108:102833. DOI:10.1016/j.parco.2021.102833

  • Shapoval O, Lehe R, Thevenet M, Zoni E, Zhao Y, Vay JL. Overcoming timestep limitations in boosted-frame Particle-In-Cell simulations of plasma-based acceleration. Phys. Rev. E Nov 2021, 104:055311. arXiv:2104.13995, DOI:10.1103/PhysRevE.104.055311

  • Vay JL, Huebl A, Almgren A, Amorim LD, Bell J, Fedeli L, Ge L, Gott K, Grote DP, Hogan M, Jambunathan R, Lehe R, Myers A, Ng C, Rowan M, Shapoval O, Thevenet M, Vincenti H, Yang E, Zaim N, Zhang W, Zhao Y, Zoni E. Modeling of a chain of three plasma accelerator stages with the WarpX electromagnetic PIC code on GPUs. Physics of Plasmas. 2021 Feb 9, 28(2):023105. DOI:10.1063/5.0028512

  • Rowan ME, Gott KN, Deslippe J, Huebl A, Thevenet M, Lehe R, Vay JL. In-situ assessment of device-side compute work for dynamic load balancing in a GPU-accelerated PIC code. PASC ‘21: Proceedings of the Platform for Advanced Scientific Computing Conference. 2021 July, 10, pages 1-11. DOI:10.1145/3468267.3470614

  • Vay JL, Almgren A, Bell J, Ge L, Grote DP, Hogan M, Kononenko O, Lehe R, Myers A, Ng C, Park J, Ryne R, Shapoval O, Thevenet M, Zhang W. Warp-X: A new exascale computing platform for beam–plasma simulations. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment. 2018 Nov, 909(12) Pages 476-479. DOI: 10.1016/j.nima.2018.01.035

  • Kirchen M, Lehe R, Jalas S, Shapoval O, Vay JL, Maier AR. Scalable spectral solver in Galilean coordinates for eliminating the numerical Cherenkov instability in particle-in-cell simulations of streaming plasmas. Physical Review E. 2020 July, 102(1-1):013202. DOI: 10.1103/PhysRevE.102.013202

  • Shapoval O, Vay JL, Vincenti H. Two-step perfectly matched layer for arbitrary-order pseudo-spectral analytical time-domain methods. Computer Physics Communications. 2019 Feb, 235, pages 102-110. DOI: 10.1016/j.cpc.2018.09.015

  • Lehe R, Kirchen M, Godfrey BB, Maier AR, Vay JL. Elimination of numerical Cherenkov instability in flowing-plasma particle-in-cell simulations by using galilean coordinates. Physical Review E. 2016 Nov, 94:053305. DOI: 10.1103/PhysRevE.94.053305