Submitted:
26 September 2025
Posted:
30 September 2025
You are already at the latest version
Abstract
Keywords:
1. Introduction
2. AI in Nuclear Theory
| Application | Method | Findings | References |
| -decay energy and half-life prediction of superheavy nuclei | Extreme Gradient Boosting with Bayesian hyperparameter tuning, incorporating nuclear structural features | Achieves significantly lower mean absolute error and root mean square error compared to empirical models | Yuan et al., 2025 |
| Determination of phase/shape in schematic nuclear models | Quantum computing and quantum machine learning | Provides a possible computational advantage for complex nuclear physics problems | García-Ramos et al., 2024 |
| Double-strangeness hypernuclear studies | Artificial Intelligence | Offers insights into fundamental baryon-baryon interactions, nuclear force, and neutron star composition | He et al., 2025 |
| Theoretical applications in nuclear structure, reactions, and nuclear matter | Various ML algorithms and techniques | Provides powerful modeling tools for big-data processing and nuclear physics research | He et al., 2023 |
| Analysis of data for toroid-like resonances in the excited nucleus of 28Si | Gaussian Mixture Model | Novel approach for analyzing complex nuclear reaction data | Depastas et al., 2025 |
| Speeding up many-body computations | Genetic Programming for Reduced Order Models | Reduces computation time by orders of magnitude with negligible accuracy loss | Bakurov et al., 2024 |
| Calibration of nuclear models and uncertainties (e.g., masses, charge radii) | Artificial Neural Networks with Bayesian statistics | Accurately predicts properties and creates efficient emulators | Anderson & Piekarewicz, 2024 |
| Nuclear charge density and properties prediction | Back-propagation neural networks | Provides corrected predictions often more accurate than existing models | Yang et al., 2023 |
| Exploring nuclear dynamics and half-lives of metastable states | Generative deep learning | Extends understanding to complex Fermionic states | Lasseri et al., 2024 |
| Prediction of giant dipole resonance energies | Bayesian neural networks with physics guidance | Reduces prediction errors, avoids non-physical divergence, and helps reveal effects from nuclear data | Wang et al., 2021 |
| Solving Fermionic systems (many-body problem) | Unsupervised Deep Neural Networks | Demonstrates potential for solving strongly correlated many-body quantum problems | Singh & Ganguli, 2024 |
| Studying equilibrium phase diagrams | Learning by Confusion (iterative labeling and neural network testing) | Provides an unbiased scheme for phase boundary identification | Caleca et al., 2024 |
| Predicting and classifying phases of matter in quantum systems | Classical ML trained on experimental data | Efficient algorithms for analyzing strongly interacting many-body systems | Huang et al., 2022 |
| Sampling field configurations for lattice QCD | Generative ML models | Captures unique structures in field configurations, enabling more efficient lattice simulations | Cranmer et al., 2023 |
| Preconditioning in lattice QCD simulations | Gauge-equivariant neural networks | Learns state-of-the-art multigrid preconditioners with minimal retraining, robust to parameter variations | Lehner & Wettig, 2023 |

2.1. Nuclear Structure and Reactions
2.2. Quantum Many-Body Problems
2.3. Generative Machine Learning for Lattice QCD Sampling
| Approach | Key Idea | Advantages | Limitations / Challenges | Representative Works |
| Normalizing Flows (Gauge-Equivariant Flows) | Learn invertible map between base and gauge field distribution with tractable Jacobian; often integrated into MCMC. | Exact likelihood evaluation; gauge equivariance; independent samples after training; reduced autocorrelations. | Training computationally expensive; scaling to 4D QCD with dynamical fermions challenging; requires careful architecture design. | Abbott et al., 2022; Abbott et al., 2023; Kanwar, 2024 |
| Diffusion Models | Iterative denoising from noise to gauge fields, trained with stochastic differential equations. | Strong generative quality; parallelizable sample generation; connection to stochastic quantization. | Exactness less straightforward; iterative sampling costly; gauge equivariance still developing. | Wang et al., 2024 |
| GANs (Generative Adversarial Networks) | Generator vs discriminator adversarial training to mimic lattice distribution. | High-quality samples; relatively fast generation. | No exact likelihood; training instability (mode collapse); symmetry enforcement difficult. | Early studies, 2019–2021 |
| VAEs (Variational Autoencoders) | Latent variable model with approximate posterior via variational inference. | Compressed latent representation; some interpretability. | Lower sample quality than flows/diffusion; approximate likelihood only; symmetry enforcement difficult. | Wetzel, 2017 (spin models) |
3. AI in Reactor Design and Safety
3.1. Core Design and Optimization
3.1.1. Fuel Loading Patterns
3.1.2. Neutron Flux Distribution
3.1.3. Burnup Analysis

3.2. Accident Analysis and PINNs
3.3. Safety Monitoring and IoT Integration
4. AI in Nuclear Data and Operations
4.1. Nuclear Data Analysis
4.1.1. Cross-Section Prediction

4.1.2. Uncertainty Quantification
4.2. Operational Monitoring and Digital Twins
4.2.1. Digital Twin Framework

4.2.2. Predictive Maintenance
4.2.3. Anomaly Detection
4.2.4. Methodologies
- Sensor Integration: IoT-enabled devices and advanced instrumentation continuously acquire high-frequency reactor data streams, including thermal, mechanical, and neutron flux parameters, enabling high-resolution monitoring of core conditions [5].
- Model Development: Physics-informed ML models and reduced-order modeling techniques simulate nonlinear reactor dynamics while reducing computational burden, thus making DTs suitable for real-time operation [20].
- Data Fusion: Hybrid frameworks combine physics-based models (first-principles simulations) with sensor-driven ML predictions to enhance reliability and reduce uncertainty in system diagnostics [19].
- Continuous Monitoring: Automated anomaly detection algorithms provide real-time alerts, ensuring robust plant safety oversight and preventing cascading failures [18].
- Scenario Simulation: DTs can simulate "what-if" scenarios such as accidental transients, equipment degradation, or cyber-physical disturbances, providing valuable foresight for operators in decision-making.
- Adaptive Control: Advanced DTs can eventually be integrated with AI-based controllers to autonomously suggest optimized control actions, such as adjusting control rods or coolant flow, thereby supporting semi-autonomous reactor operations.
5. Results and Comparative Summary
| Domain | AI Method | Findings | References |
| Accident Analysis | Physics-Informed Neural Networks (PINNs), Hybrid ML | Physics-consistent accident simulations; improved transient prediction | Raissi et al. (2019), Ren et al. (2021) |
| Safety Monitoring | AI + IoT + Anomaly Detection | Real-time diagnostics, fault detection, predictive maintenance | Li et al. (2020), Kim et al. (2021) |
| Nuclear Data | Deep Learning, Bayesian ML | Reduced uncertainty in cross-sections; faster evaluations | Scheinker et al. (2021), IAEA (2022) |
| Reactor Operations | Digital Twins with Physics-Informed ML | Adaptive monitoring, predictive maintenance, reduced downtime | Lee et al. (2020), Zhong et al. (2022) |
| Reactor Design | Surrogate Models, Neural Networks, Genetic Algorithms | Optimized fuel loading, neutron flux distribution, and burnup analysis | Hines (2019), Yu et al. (2021), Turkmen et al. (2021) |
6. Discussion
7. Conclusion and Future Directions
References
- Sobes, V.; Xu, H.; Patton, B.; et al. Applications of AI for reactor core design optimization. Annals of Nuclear Energy 2021, 156, 107498. [Google Scholar] [CrossRef]
- Zohuri, B. Advanced applications of AI and ML in nuclear reactor control systems. Science Set Journal of Physics 2024, 3, 1–8. [Google Scholar]
- Antonello, F.; Buongiorno, J.; Zio, E. Physics-informed neural networks for surrogate modeling of accidental scenarios in nuclear power plants. Nuclear Engineering and Technology 2023, 55, 3409–3416. [Google Scholar] [CrossRef]
- Antonello, A.; Buongiorno, J.; Zio, E. Physics-informed neural networks for accident scenario modeling in microreactors: Case study of Loss of Heat Sink (LOHS). Nuclear Engineering and Design 2023, 400, 111694. [Google Scholar] [CrossRef]
- Jendoubi, T.; Asad, R. AI-driven safety frameworks in nuclear power plants: Challenges and opportunities. Progress in Nuclear Energy 2024, 170, 104566. [Google Scholar] [CrossRef]
- Stone, N.J. Nuclear binding energies and the liquid drop model. ScienceDirect Topics, 2020.
- Baldo, M.; Burgio, G.F. The nuclear symmetry energy. arXiv preprint 2016, arXiv:1606.08838. [Google Scholar] [CrossRef]
- Salah, A.R.M. Nuclear binding energy: Concepts, calculations, and applications, 2023. Preprint available at ResearchGate.
- Nuclear fission. Australian Nuclear Science and Technology Organisation (ANSTO), 2020.
- RROij. Fission and Fusion: Nuclear Reactions in Stellar Evolution. RROij 2021.
- Radioactive decay in nuclear science. SCIRP, 2020.
- Nuclear binding energies: Global collective structure and local shell effects. CERN Document Server, 2015.
- Applications of nuclear reactions in medicine and radiometric dating. Open MedScience, 2022.
- Abbott, R.; Albergo, M.; Botev, A.; Boyda, D.; Cranmer, K.; Hackett, D.; Kanwar, G.; Matthews, A.; Racanière, S.; Razavi, A.; et al. Sampling QCD field configurations with gauge-equivariant flow models. In Proceedings of the PoS - Proceedings of Science, LATTICE 2022, 2023, Volume 430, Issue Algorithms, p. 036, [arXiv:heplat/2208.03832]. Pre-published January 09, 2023; published April 06, 2023. arXiv:hep-lat/2208.03832]. [Google Scholar] [CrossRef]
- Abbott, R.; Albergo, M.; Boyda, D.; Cranmer, K.; Hackett, D.; Kanwar, G.; Racanière, S.; Rezende, D.; Romero-López, F.; Shanahan, P.E.; et al. Gauge-equivariant flow models for sampling in lattice field theories with pseudofermions. Physical Review D 2022, 106, 074506, [arXiv:hep-lat/2207.08945]. [Google Scholar] [CrossRef]
- Kanwar, G. Flow-based sampling for lattice field theories. arXiv e-prints 2024, arXiv:hep-lat/2401.01297. [Google Scholar]
- Wang, L.; Aarts, G.; Zhou, K. Diffusion models as stochastic quantization in lattice field theory. Journal of High Energy Physics 2024, 060, [arXiv:hep-lat/2309.17082]. [Google Scholar] [CrossRef]
- International Atomic Energy Agency (IAEA). Artificial Intelligence for Accelerating Nuclear Applications, Science and Technology; IAEA: Vienna, 2022. [Google Scholar]
- Scheinker, A.; Smith, M.S.; Pang, L.G. Artificial intelligence and machine learning in nuclear physics: A review. Reviews of Modern Physics 2021, 93, 045002. [Google Scholar] [CrossRef]
- Liuti, S.; Adams, D.; Boër, M.; Chern, G.W.; Cuic, M.; Engelhardt, M.; Goldstein, G.R.; Kriesten, B.; Li, Y.; Lin, H.W.; et al. AI for Nuclear Physics: The EXCLAIM Project. Computational Physics Communications 2024, 295, 109001. [Google Scholar] [CrossRef]
Disclaimer/Publisher’s Note: The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s). MDPI and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content. |
© 2025 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).