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AmberTorchPB: A Unified Framework for Poisson-Boltzmann-Based Reaction Field Energy Calculation via Tensor
Yongxian Wu1, Qiankang Wang1, Robin Jiang1
1Department of Chemical and Biomolecular Engineering, Molecular Biology and Biochemistry, Materials Science and Engineering, and Biomedical Engineering, University of California, Irvine, California 92697, United States.
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Electrostatic interactions are pivotal to understanding biomolecular structure and function, with the Poisson-Boltzmann (PB) equation serving as a cornerstone for modeling these phenomena in ionic solutions; however, the application of PB solvers to large-scale macromolecular assemblies is currently impeded by significant computational bottlenecks and a fragmented software ecosystem rooted in legacy architectures, which collectively struggle to exploit the capabilities of modern high-performance computing (HPC). While traditional methods grapple with scalability and hardware adaptation, tensor abstraction utilized in contemporary deep learning has emerged as a transformative paradigm for efficiently managing hardware heterogeneity, memory optimization, and mixed-precision arithmetic. Capitalizing on this advancement, we introduce AmberTorchPB, a unified, extensible, and accelerator-aware framework built upon LibTorch designed to modernize biomolecular electrostatics. By abstracting low-level data management, AmberTorchPB enables a single algorithmic implementation to seamlessly support diverse sparse matrix layouts, numerical precisions, and computing devices. We demonstrate the framework's versatility by implementing and benchmarking a suite of iterative solvers, thereby providing a robust C++ backend that facilitates rapid prototyping, rigorous benchmarking, and the deployment of high-fidelity electrostatic simulations on heterogeneous architectures.
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The drift of charge carriers is started by an external electric field (E). Charged particles, such as electrons and holes, experience an acceleration between collisions with lattice atoms. For electrons, this results in a drift velocity (vd) given by:

