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20242026
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physics.comp-ph2026

Sum-of-Gaussians tensor neural networks for high-dimensional Schrödinger equation

Qi Zhou, Teng Wu, Jianghao Liu +3

We propose an accurate, efficient, and low-memory sum-of-Gaussians tensor neural network (SOG-TNN) algorithm for solving the high-dimensional Schrödinger equation. The SOG-TNN uti…

physics.comp-ph2026

Random batch sum-of-Gaussians method for molecular dynamics simulation of particle systems in the NPT ensemble

Zhen Jiang, Jiuyang Liang, Qi Zhou

In this work, we develop a random batch sum-of-Gaussians (RBSOG) method for molecular dynamics simulations of charged systems in the isothermal-isobaric (NPT) ensemble. We introduc…

physics.comp-ph2026

An Monte Carlo method for periodic Coulomb systems

Xuanzhao Gao, Shidong Jiang, Jiuyang Liang +1

Efficient Monte Carlo (MC) sampling of many-body systems with long-range electrostatics is often limited by the cost of per-move energy-difference evaluation under periodic boundar…

physics.comp-ph2025

Symmetry-preserving random batch Ewald method for constant-potential simulation of electrochemical systems

Weihang Gao, Qi Zhou, Qianru Zhang +1

Constant potential molecular dynamics simulation plays important role for applications of electrochemical systems, yet the calculation of charge fluctuation on electrodes remains a…

physics.comp-ph2025

Weighted balanced truncation method for approximating kernel functions by exponentials

Yuanshen Lin, Zhenli Xu, Yusu Zhang +1

Kernel approximation with exponentials is useful in many problems with convolution quadrature and particle interactions such as integral-differential equations, molecular dynamics…

physics.comp-ph2024

Variance-reduced random batch Langevin dynamics

Zhenli Xu, Yue Zhao, Qi Zhou

The random batch method is advantageous in accelerating force calculations in particle simulations, but it poses a challenge of removing the artificial heating effect in applicatio…