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GyroSwin: 5D Surrogates for Gyrokinetic Plasma Turbulence Simulations
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Introduces GyroSwin, a multitask hierarchical Swin-based 5D neural surrogate that evolves the 5D gyrokinetic distribution function and predicts 3D potentials and heat flux, scaling to ~1B parameters.
Problem
Modeling plasma turbulence requires nonlinear 5D gyrokinetic simulations, which are computationally prohibitive; reduced quasilinear models omit nonlinear effects such as zonal flows.
Approach
Extends hierarchical Swin Transformer U-Nets to 5D with shifted 5D window attention, latent 5D<->3D cross-attention mixing and velocity-space integrator modules, multitask heads for f, potential and heat flux, and channelwise mode separation that isolates the zonal flow (k_y=0) mode as extra channels.
Key results
- GyroSwin-Large (998M params, 241 simulations) reaches ID/OOD Q(k_y) correlation 0.87/0.91, versus 0.51/0.58 for QL.
- On the 48-simulation set, GyroSwin reduces heat flux RMSE to 47.35 (ID) vs 89.48 for QL, and 16.37 for the Small model trained on 241 simulations.
- Scaling laws fit a joint power law in model and data size; the fitted exponents are alpha=0.46 and beta=0.37, and the model is reported as about three orders of magnitude faster than GKW in FLOPs (756 vs 4200 GFLOPs).
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use GyroSwin instead of ViT for autoregressive 5D turbulence prediction | 5D neural surrogates · 5D turbulence modelling, ID and OOD | correlation time: 16.83 $\pm$ 1.49 -> 17.67 $\pm$ 2.16; 19.20 $\pm$ 1.36 -> 19.40 $\pm$ 1.46 | Helped |
| Scale GyroSwin training from 48 to 241 simulations | GyroSwin · Average heat flux ID and OOD | RMSE: 47.35 $\pm$ 6.20 -> 16.37 $\pm$ 3.68; 59.15 $\pm$ 15.62 -> 16.73 $\pm$ 5.58 | Helped |
| Scale GyroSwin training from 48 to 241 simulations | GyroSwin · Flux spectrum Q(ky) ID and OOD | Pearson correlation: 0.59 $\pm$ 0.06 -> 0.87 $\pm$ 0.11; 0.69 $\pm$ 0.06 -> 0.91 $\pm$ 0.08 | Helped |
| Increase model size from 239M to 893M parameters at full data | GyroSwin · Validation | loss: 12% | Helped |
| Use DiT-style conditioning instead of FiLM (ablation) | GyroSwin · Gyrokinetic prediction | performance | No clear effect |
| Center the nonlinear flux vector when fitting the QuaLiKiz normalization (ablation) | QuaLiKiz saturation rule · Nonlinear flux prediction | error | Helped |
| Use GyroSwin instead of QL | Reduced numerical modelling · Flux spectrum Q(ky), ID and OOD | Pearson correlation: 0.51 $\pm$ 0.4 -> 0.59 $\pm$ 0.06; 0.58 $\pm$ 0.33 -> 0.69 $\pm$ 0.06 | Helped |
| Scale GyroSwin from 90.2M to 998.3M parameters | GyroSwin · Flux spectrum Q(ky), ID and OOD | Pearson correlation: 0.82 $\pm$ 0.10 -> 0.87 $\pm$ 0.11; 0.79 $\pm$ 0.09 -> 0.91 $\pm$ 0.08 | Mixed |
| Scale GyroSwin from small to medium model at 241 simulations | GyroSwin · Average heat flux ID and OOD | RMSE: 16.37 $\pm$ 3.68 -> 20.41 $\pm$ 3.86; 16.73 $\pm$ 5.58 -> 24.96 $\pm$ 5.63 | Mixed |
Surprising findings
- Most neural surrogates converge to nearly identical flux errors (~120) because predicted turbulent transport decays to zero along rollouts.
- Model size and data size must be scaled together; small models cannot exploit additional data and vice versa.
Limitations
- Does not model the distributional/chaotic nature of turbulence; error accumulates over rollouts despite stability beyond 100 steps.
- Neglects the linear phase of simulations and only considers the adiabatic electron approximation.
- Only ion temperature gradient turbulence (cyclone base case) and four operating parameters are covered.
Experimental setup
Datasets: GKW nonlinear gyrokinetic simulations (255 simulations, Cyclone base case, adiabatic electrons)
Benchmarks: in-distribution and out-of-distribution gyrokinetic test sets (6 ID, 5 OOD simulations)
Metrics: RMSE of time-averaged heat flux correlation time of 5D rollouts (Pearson threshold 0.1) Pearson correlation of Q(k_y) and W(k_y) forward time, memory, parameter count
Baselines: QuaLiKiz saturation rule (QL) Gaussian process regression MLP FNO PointNet Transolver ViT
Builds on: Swin Transformer Swin UNet Perceiver FiLM SwinV2
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