Resolution-Robust Machine Learning Heat Flux Closure for Inertial Confinement Fusion Plasmas

PRX Intelligence American Physical Society (APS) 1:1 (2026) 013017

Authors:

M Luo, AR Bell, F Miniati, SM Vinko, G Gregori

Abstract:

Accurate modeling of heat flux in inertial confinement fusion plasmas requires closures that remain predictive far from local equilibrium and across disparate spatial and temporal resolutions. We develop a resolution-robust machine learning heat flux closure trained on particle-in-cell simulations using a Fourier neural operator. Two nonlocal electron thermal conduction models are trained and tested. When embedded self-consistently into the electron energy equation, the learned closure faithfully reproduces the temperature evolution and shows good temporal extrapolation and generalization capability. Remarkably, models trained on coarse-resolution data accurately predict heat flux when deployed in substantially finer-resolution implicit, iterative solvers of the energy equation, significantly enhancing the practicality of embedding data-driven closures into partial differential equation solvers. These results establish a data-driven closure that bridges kinetic and fluid descriptions and provides a viable pathway for treating machine learning as an iterative solver within the radiation-hydrodynamic simulations of inertial confinement fusion plasma.

Photon Acceleration in Magnetized Plasma: A Mechanism for Fast Radio Bursts

(2026)

Authors:

Sergei V Bulanov, Gabriele Maria Grittani, Marcel Lamac, Petr Valenta, Stepan S Bulanov, Timur Zh Esirkepov, Gianluca Gregori, Brandon K Russell, Alexander GR Thomas, Arno Vanthieghem

Statistical theory of electronic degrees of freedom in wave packet molecular dynamics

Physical Review E American Physical Society (APS) 114:1 (2026) 15219

Authors:

Daniel Plummer, Pontus Svensson, Wiktor Jasniak, Patrick Hollebon, Sam M Vinko, Gianluca Gregori

Abstract:

<jats:p>We derive statistical distributions for the degrees of freedom in wave packet molecular dynamics models. Specifically, a theory is developed for the width distributions of Gaussian wave packets in both isotropic and anisotropic formulations. The resulting distribution functions show good agreement with molecular dynamics data under warm dense matter conditions, providing practical guidance for constraining the confining potential, an empirical parameter in the model. We also discuss how these distributions influence the resulting effective Coulomb interactions.</jats:p>

Roadmap for warm dense matter physics

Plasma Physics and Controlled Fusion 68:7 (2026)

Authors:

Jan Vorberger, Frank Graziani, David Riley, Andrew D Baczewski, Isabelle Baraffe, Mandy Bethkenhagen, Simon Blouin, Maximilian P Böhme, Michael Bonitz, Michael Bussmann, Alexis Casner, Witold Cayzac, Peter Celliers, Gilles Chabrier, Nicolas Chamel, Dave Chapman, Mohan Chen, Jean Clérouin, Gilbert Collins, Federica Coppari, Tilo Döppner, Tobias Dornheim, Luke B Fletcher, Dirk O Gericke, Siegfried Glenzer, Alexander F Goncharov, Gianluca Gregori, Sebastien Hamel, Stephanie B Hansen, Nicholas J Hartley, Suxing Hu, Omar A Hurricane, Valentin V Karasiev, Joshua J Kas, Brendan Kettle, Thomas Kluge, Marcus D Knudson, Alina Kononov, Zuzana Konôpková, Dominik Kraus, Andrea Kritcher, Sophia Malko, Gérard Massacrier, Burkhard Militzer, Zhandos A Moldabekov, Michael S Murillo, Bob Nagler, Nadine Nettelmann, Paul Neumayer, Benjamin K Ofori-Okai

Abstract:

This roadmap presents the state-of-the-art, current challenges and near future developments anticipated in the thriving field of warm dense matter (WDM) physics. Originating from strongly coupled plasma physics, high pressure physics and high energy density science, the WDM physics community has recently taken a giant leap forward. This is due to spectacular developments in laser technology, diagnostic capabilities, and computer simulation techniques. Only in the last decade has it become possible to perform accurate enough simulations & experiments to truly verify theoretical results as well as to reliably design experiments based on predictions. Consequently, this roadmap discusses recent developments of and contemporary challenges for theoretical methods and experimental techniques needed to describe, create and diagnose WDM. A large part of this roadmap is dedicated to specific WDM systems and applications in astrophysics, inertial confinement fusion and novel material synthesis.

Structural evolution of iron oxides melts at Earth’s outer-core pressures

Nature Communications Springer Nature (2026)

Authors:

Céline Crépisson, Mila Fitzgerald, Domenic Peake, Patrick G Heighway, Thomas Stevens, Adrien Descamps, David McGonegle, Alexis Amouretti, Karim K Alaa El-Din, Michal Andrzejewski, Sam Azadi, Erik Brambrink, Carolina Camarda, David A Chin, Samuele Di Dio Cafiso, Ana Coutinho Dutra, Hauke Höppner, Kohdai Yamamoto, Phani S Karamched, Zuzana Konôpková, Motoaki Nakatsutsumi, Norimasa Ozaki, Danae N Polsin, Jan-Patrick Schwinkendorf, Georgiy Shoulga, Cornelius Strohm, Minxue Tang, Harry Taylor, Monika Toncian, Yizhen Wang, Jin Yao, Gianluca Gregori, Justin S Wark, Karen Appel, Marion Harmand, Sam M Vinko

Abstract:

Oxygen and other light elements comprise up to 5 wt% of the Earth’s outer-core, and may significantly influence its physical properties and the operation of the geodynamo. Here we report in situ X-ray diffraction measurements of Fe, Fe + 4.5 FeO (atomic proportion), and Fe2O3 melts at 177-440 GPa, achieved using laser-driven shock compression at an x-ray free-electron laser. The melts exhibit Fe-O coordination numbers between 4.0(0.4) and 4.5(0.4), indicating predominantly four-fold coordination environments. These coordination states are significantly smaller than those of Fe-bearing lower-mantle phases such as bridgmanite and ferropericlase. Shorter Fe-Fe interatomic distances in compressed iron oxide melts drive the denser packing relative to ambient melts, while the structural differences between Fe + 4.5 FeO and Fe2O3 melts under shock indicate that the oxidation state modulates oxygen solubility in liquid Fe. At 177 GPa ( ~ 380 km below the core-mantle boundary) and 3800 K, Fe2O3 melts exhibit higher Fe-O coordination, suggesting that local variations in oxygen content could contribute to the stratification in the uppermost outer-core inferred from seismological and geomagnetic observations.