用物理引导的Transformer模型,精准模拟芯片与基底界面的传热过程。
Modeling and Inverse Identification of Interfacial Heat Conduction in Finite Layer and Semi-Infinite Substrate Systems via a Physics-Guided Neural Framework
- 基于物理先验设计Transformer结构,融合时空采样与解析解激活函数。
- 可稳定求解界面处陡峭温梯度,实现正向与反向建模一体化。
- 仅需外部测量即可同时识别三种未知热物性,适合微电子散热研究。
半导体器件中的传热主要由有限厚度芯片层与半无限大基底构成,芯片内部产生的热量通过具有更高热物性的基底传导。这种物性差异导致界面处出现陡峭的温度梯度,使瞬态热响应对界面状态极为敏感。传统数值求解器需过度网格划分以捕捉动态变化,而物理信息神经网络(PINNs)在材料界面附近常出现收敛不稳定与物理一致性丧失的问题。为此,本文提出HeatTransFormer,一种面向界面主导扩散问题的物理引导式Transformer框架。该架构集成物理启发的时空采样策略、基于拉普拉斯算子的激活函数以模拟解析扩散解,并采用无掩码注意力机制支持双向时空耦合。这些设计使模型能准确解析陡峭梯度,保持物理一致性且在传统PINNs失效区域仍具稳定性。将HeatTransFormer应用于有限层-半无限基底系统时,可生成连贯的温度场分布。结合物理约束的逆向策略,仅凭外部测量即可可靠识别三个未知热物性参数。本工作表明,物理引导的Transformer架构为界面主导热系统的正向与逆向建模提供统一范式。
原文摘要 · Abstract (English)
Heat transfer in semiconductor devices is dominated by chip and substrate assemblies, where heat generated within a finite chip layer dissipates into a semi-infinite substrate with much higher thermophysical properties. This mismatch produces steep interfacial temperature gradients, making the transient thermal response highly sensitive to the interface. Conventional numerical solvers require excessive discretization to resolve these dynamics, while physics-informed neural networks (PINNs) often exhibit unstable convergence and loss of physical consistency near the material interface. To address these challenges, we introduce HeatTransFormer, a physics-guided Transformer architecture for interface-dominated diffusion problems. The framework integrates physically informed spatiotemporal sampling, a Laplace-based activation emulating analytical diffusion solutions, and a mask-free attention mechanism supporting bidirectional spatiotemporal coupling. These components enable the model to resolve steep gradients, maintain physical consistency, and remain stable where PINNs typically fail. HeatTransFormer produces coherent temperature fields across the interface when applied to a finite layer and semi-infinite substrate configuration. Coupled with a physics-constrained inverse strategy, it further enables reliable identification of three unknown thermal properties simultaneously using only external measurements. Overall, this work demonstrates that physics-guided Transformer architectures provide a unified framework for forward and inverse modeling in interface-dominated thermal systems.
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