PINN-Phase: Physics-informed neural integration for accurate, generalizable and scalable multiphase-field evolution
Abstract
The value of polycrystal phase-field simulations for materials exploration depends on whether individual grains, not only aggregate statistics, evolve correctly in time. We introduce PINN-Phase, a neural time integrator that advances the multiphase field autonomously and enforces phase bounds and unit sum at every step. It learns from physical targets evaluated on its own predicted states, without reference trajectories in training. A hybrid realization meets all predefined criteria with fixed weights on seven of eight prospective unseen two-dimensional microstructures and both stress cases. It also keeps the exact survivor set in five of six unseen 128^3 microstructures over 24,000 steps. A separately trained phase-local realization with 2,160 parameters, trained at 48^3 with eight grains, runs with unchanged weights on microstructures with up to 5,000 grains. With 1,000 and 5,000 grains it reproduces 4,540 of 4,543 reference grain extinctions by identity within their timing tolerance; the other three straddle the evaluation horizon. Typical per-grain volume errors stay nearly constant from 150 to 5,000 grains, while a few large grains later exceed the volume criterion. Time-rescaling controls show that statistics compared at matched coarsening states cannot detect a 3% clock error. In a virtual isothermal hold, that error ends the hold prematurely in all 34 decisions, whereas PINN-Phase stays within 0.3% of the reference time to target. These results hold within the tested microstructure families.
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BibTeX
@misc{elfetni2026pinnphase,
title = {{PINN-Phase: Physics-informed neural integration for accurate, generalizable and scalable multiphase-field evolution}},
author = {Seifallah Elfetni and Sascha Thinius and Peter H. Seeberger and Theodore Tyrikos-Ergas},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2608.29413},
eprint = {2608.29413},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.29413},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - PINN-Phase: Physics-informed neural integration for accurate, generalizable and scalable multiphase-field evolution
AU - Seifallah Elfetni
AU - Sascha Thinius
AU - Peter H. Seeberger
AU - Theodore Tyrikos-Ergas
PY - 2026
DA - 2026/10/28
PB - arXiv
DO - 10.48550/arxiv.2608.29413
UR - https://arxiv.org/abs/2608.29413
AB - The value of polycrystal phase-field simulations for materials exploration depends on whether individual grains, not only aggregate statistics, evolve correctly in time. We introduce PINN-Phase, a neural time integrator that advances the multiphase field autonomously and enforces phase bounds and unit sum at every step. It learns from physical targets evaluated on its own predicted states, without reference trajectories in training. A hybrid realization meets all predefined criteria with fixed weights on seven of eight prospective unseen two-dimensional microstructures and both stress cases. It also keeps the exact survivor set in five of six unseen 128^3 microstructures over 24,000 steps. A separately trained phase-local realization with 2,160 parameters, trained at 48^3 with eight grains, runs with unchanged weights on microstructures with up to 5,000 grains. With 1,000 and 5,000 grains it reproduces 4,540 of 4,543 reference grain extinctions by identity within their timing tolerance; the other three straddle the evaluation horizon. Typical per-grain volume errors stay nearly constant from 150 to 5,000 grains, while a few large grains later exceed the volume criterion. Time-rescaling controls show that statistics compared at matched coarsening states cannot detect a 3% clock error. In a virtual isothermal hold, that error ends the hold prematurely in all 34 decisions, whereas PINN-Phase stays within 0.3% of the reference time to target. These results hold within the tested microstructure families.
ER -