activity
20182026
most citedSuperscalability of the random batch Ewald method

35 citations · 143 across the 25 of their papers we have counts for

collaborators

26 papers

physics.chem-ph2026

Prolate spheroidal wave functions enable fast and exponent-aware long-range machine learning interatomic potentials

Jiuyang Liang, Libin Lu, Yajie Ji +1

Long-range interactions such as electrostatics and dispersion remain a central bottleneck for machine learning interatomic potentials (MLIPs), especially in ionic, polar and interf…

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…

math.NA2026

Fast Ewald Summation with Prolates for Charged Systems in the NPT Ensemble

Jiuyang Liang, Libin Lu, Shidong Jiang

We present an NPT extension of Ewald summation with prolates (ESP), a spectrally accurate and scalable particle-mesh method for molecular dynamics simulations of periodic, charged…

physics.comp-ph2026

Random Batch Sum-of-Gaussians Method for Molecular Dynamics of Born-Mayer-Huggins Systems

Chen Chen, Jiuyang Liang, Zhenli Xu +1

The Born-Mayer-Huggins (BMH) potential, which combines Coulomb interactions with dispersion and short-range exponential repulsion, is widely used for ionic materials such as molten…

math.NA2025

Accelerating Molecular Dynamics Simulations using Fast Ewald Summation with Prolates

Jiuyang Liang, Libin Lu, Alex Barnett +2

The evaluation of long-range Coulomb interactions is a significant cost in molecular dynamics (MD), even when using Particle Mesh Ewald (PME) or Particle-Particle-Particle-Mesh (PP…

math.NA2025

Accurate Error Estimates and Optimal Parameter Selection in Ewald Summation for Dielectrically Confined Coulomb Systems

Xuanzhao Gao, Qi Zhou, Zecheng Gan +1

Dielectrically confined Coulomb systems are widely employed in molecular dynamics (MD) simulations. Despite extensive efforts in developing efficient and accurate algorithms for th…

physics.chem-ph2025★ 21 cited

Machine-Learning Interatomic Potentials for Long-Range Systems

Yajie Ji, Jiuyang Liang, Zhenli Xu

Machine-learning interatomic potentials have emerged as a revolutionary class of force-field models in molecular simulations, delivering quantum-mechanical accuracy at a fraction o…

physics.comp-ph2025★ 5 cited

Random batch sum-of-Gaussians algorithm for molecular dynamics simulations of Yukawa systems in three dimensions

Chen Chen, Jiuyang Liang, Zhenli Xu

Yukawa systems have drawn widespread interest across various applications. In this paper, we introduce a novel random batch sum-of-Gaussians (RBSOG) algorithm for molecular dynamic…

math.NA2024★ 1 cited

A fast spectral sum-of-Gaussians method for electrostatic summation in quasi-2D systems

Xuanzhao Gao, Shidong Jiang, Jiuyang Liang +2

The quasi-2D electrostatic systems, characterized by periodicity in two dimensions with a free third dimension, have garnered significant interest in many fields. We apply the sum-…

physics.comp-ph2024★ 3 cited

RBMD: A molecular dynamics package enabling to simulate 10 million all-atom particles in a single graphics processing unit

Weihang Gao, Teng Zhao, Yongfa Guo +9

This paper introduces a random-batch molecular dynamics (RBMD) package for fast simulations of particle systems at the nano/micro scale. Different from existing packages, the RBMD…

physics.comp-ph2024★ 2 cited

A note on accurate pressure calculations of Coulomb systems with periodic boundary conditions

Lei Li, Jiuyang Liang, Zhenli Xu

In this note, we address some issues concerning the accurate pressure calculation of Coulomb systems with periodic boundary conditions. First, we prove that the formulas for the ex…

math.NA2024★ 6 cited

Random Batch Ewald Method for Dielectrically Confined Coulomb Systems

Zecheng Gan, Xuanzhao Gao, Jiuyang Liang +1

Quasi two-dimensional Coulomb systems have drawn widespread interest. The reduced symmetry of these systems leads to complex collective behaviors, yet simultaneously poses signific…

math.NA2024★ 13 cited

Fast Algorithm for Quasi-2D Coulomb Systems

Zecheng Gan, Xuanzhao Gao, Jiuyang Liang +1

Quasi-2D Coulomb systems are of fundamental importance and have attracted much attention in many areas nowadays. Their reduced symmetry gives rise to interesting collective behavio…

math.AP2024

Confined run-and-tumble model with boundary aggregation: long time behavior and convergence to the confined Fokker-Planck model

Jingyi Fu, Jiuyang Liang, Benoit Perthame +1

The motile micro-organisms such as E. coli, sperm, or some seaweed are usually modelled by self-propelled particles that move with the run-and-tumble process. Individual-based stoc…

physics.chem-ph2023

Energy Stable Scheme for Random Batch Molecular Dynamics

Jiuyang Liang, Zhenli Xu, Yue Zhao

The computational bottleneck of molecular dynamics is the pairwise additive long-range interactions between particles. The random batch Ewald (RBE) method provides a highly efficie…

math.NA2023

Error estimate of the u-series method for molecular dynamics simulations

Jiuyang Liang, Zhenli Xu, Qi Zhou

This paper provides an error estimate for the u-series method of the Coulomb interaction in molecular dynamics simulations. We show that the number of truncated Gaussians in th…

physics.comp-ph2022★ 17 cited

Improved random batch Ewald method in molecular dynamics simulations

Jiuyang Liang, Zhenli Xu, Yue Zhao

The random batch Ewald (RBE) is an efficient and accurate method for molecular dynamics (MD) simulations of physical systems at the nano-/micro- scale. The method shows great poten…

physics.comp-ph2022★ 1 cited

Random batch sum-of-Gaussians method for molecular dynamics simulations of particle systems

Jiuyang Liang, Zhenli Xu, Qi Zhou

We develop an accurate, highly efficient and scalable random batch sum-of-Gaussians (RBSOG) method for molecular dynamics simulations of systems with long-range interactions. The i…

physics.comp-ph2021★ 26 cited

A random batch Ewald method for charged particles in the isothermal-isobaric ensemble

Jiuyang Liang, Pan Tan, Liang Hong +3

We develop an accurate, highly efficient and scalable random batch Ewald (RBE) method to conduct simulations in the isothermal-isobaric ensemble (the NPT ensemble) for charged part…

physics.comp-ph2021

Random-batch list algorithm for short-range molecular dynamics simulations

Jiuyang Liang, Zhenli Xu, Yue Zhao

We propose a fast method for the calculation of short-range interactions in molecular dynamics simulations. The so-called random-batch list method is a stochastic version of the cl…

physics.comp-ph2021★ 35 cited

Superscalability of the random batch Ewald method

Jiuyang Liang, Pan Tan, Yue Zhao +4

Coulomb interaction, following an inverse-square force-law, quantifies the amount of force between two stationary and electrically charged particles. The long-range nature of Coulo…

physics.comp-ph2021★ 11 cited

HSMA: An O(N) electrostatics package implemented in LAMMPS

Jiuyang Liang, Jiaxing Yuan, Zhenli Xu

We implement two recently developed fast Coulomb solvers, HSMA3D [J. Chem. Phys. 149 (8) (2018) 084111] and HSMA2D [J. Chem. Phys. 152 (13) (2020) 134109], into a new user package…

math.NA2020

A Kernel-Independent Sum-of-Exponentials Method

Zixuan Gao, Jiuyang Liang, Zhenli Xu

We propose an accurate algorithm for a novel sum-of-exponentials (SOE) approximation of kernel functions, and develop a fast algorithm for convolution quadrature based on the SOE,…