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Main Authors: Shang, Wenjie, Zhou, Jiahang, Panda, J. P., Xu, Zhihao, Liu, Yi, Du, Pan, Wang, Jian-Xun, Luo, Tengfei
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2503.23657
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author Shang, Wenjie
Zhou, Jiahang
Panda, J. P.
Xu, Zhihao
Liu, Yi
Du, Pan
Wang, Jian-Xun
Luo, Tengfei
author_facet Shang, Wenjie
Zhou, Jiahang
Panda, J. P.
Xu, Zhihao
Liu, Yi
Du, Pan
Wang, Jian-Xun
Luo, Tengfei
contents This paper introduces JAX-BTE, a GPU-accelerated, differentiable solver for the phonon Boltzmann Transport Equation (BTE) based on differentiable programming. JAX-BTE enables accurate, efficient and differentiable multiscale thermal modeling by leveraging high-performance GPU computing and automatic differentiation. The solver efficiently addresses the high-dimensional and complex integro-differential nature of the phonon BTE, facilitating both forward simulations and data-augmented inverse simulations through end-to-end optimization. Validation is performed across a range of 1D to 3D simulations, including complex FinFET structures, in both forward and inverse settings, demonstrating excellent performance and reliability. JAX-BTE significantly outperforms state-of-the-art BTE solvers in forward simulations and uniquely enables inverse simulations, making it a powerful tool for multiscale thermal analysis and design for semiconductor devices.
format Preprint
id arxiv_https___arxiv_org_abs_2503_23657
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle JAX-BTE: A GPU-Accelerated Differentiable Solver for Phonon Boltzmann Transport Equations
Shang, Wenjie
Zhou, Jiahang
Panda, J. P.
Xu, Zhihao
Liu, Yi
Du, Pan
Wang, Jian-Xun
Luo, Tengfei
Computational Physics
Mesoscale and Nanoscale Physics
This paper introduces JAX-BTE, a GPU-accelerated, differentiable solver for the phonon Boltzmann Transport Equation (BTE) based on differentiable programming. JAX-BTE enables accurate, efficient and differentiable multiscale thermal modeling by leveraging high-performance GPU computing and automatic differentiation. The solver efficiently addresses the high-dimensional and complex integro-differential nature of the phonon BTE, facilitating both forward simulations and data-augmented inverse simulations through end-to-end optimization. Validation is performed across a range of 1D to 3D simulations, including complex FinFET structures, in both forward and inverse settings, demonstrating excellent performance and reliability. JAX-BTE significantly outperforms state-of-the-art BTE solvers in forward simulations and uniquely enables inverse simulations, making it a powerful tool for multiscale thermal analysis and design for semiconductor devices.
title JAX-BTE: A GPU-Accelerated Differentiable Solver for Phonon Boltzmann Transport Equations
topic Computational Physics
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2503.23657