Generative Quasi-Continuum Modeling of Confined Fluids at the Nanoscale
- URL: http://arxiv.org/abs/2509.08223v1
- Date: Wed, 10 Sep 2025 01:44:27 GMT
- Title: Generative Quasi-Continuum Modeling of Confined Fluids at the Nanoscale
- Authors: Bugra Yalcin, Ishan Nadkarni, Jinu Jeong, Chenxing Liang, Narayana R. Aluru,
- Abstract summary: Machine-learned molecular dynamics (MLMD) offers a scalable alternative to ab initio molecular dynamics simulations.<n>We propose a conditional denoising diffusion model (DDPM) based quasi-continuum approach that predicts the long-time behavior of force profiles along the confinement direction.<n>We test the framework on water confined between two graphene nanoscale slits and demonstrate that density profiles for channel widths outside of the training domain can be recovered with ab initio accuracy.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We present a data-efficient, multiscale framework for predicting the density profiles of confined fluids at the nanoscale. While accurate density estimates require prohibitively long timescales that are inaccessible by ab initio molecular dynamics (AIMD) simulations, machine-learned molecular dynamics (MLMD) offers a scalable alternative, enabling the generation of force predictions at ab initio accuracy with reduced computational cost. However, despite their efficiency, MLMD simulations remain constrained by femtosecond timesteps, which limit their practicality for computing long-time averages needed for accurate density estimation. To address this, we propose a conditional denoising diffusion probabilistic model (DDPM) based quasi-continuum approach that predicts the long-time behavior of force profiles along the confinement direction, conditioned on noisy forces extracted from a limited AIMD dataset. The predicted smooth forces are then linked to continuum theory via the Nernst-Planck equation to reveal the underlying density behavior. We test the framework on water confined between two graphene nanoscale slits and demonstrate that density profiles for channel widths outside of the training domain can be recovered with ab initio accuracy. Compared to AIMD and MLMD simulations, our method achieves orders-of-magnitude speed-up in runtime and requires significantly less training data than prior works.
Related papers
- Accelerating Long-Term Molecular Dynamics with Physics-Informed Time-Series Forecasting [7.705860755153007]
Molecular dynamics (MD) simulation is vital for understanding atomic-scale processes in materials science and biophysics.<n>Traditional density functional theory (DFT) methods are computationally expensive, which limits the feasibility of long-term simulations.<n>We propose a novel approach that formulates MD simulation as a time-series forecasting problem.
arXiv Detail & Related papers (2025-09-16T02:00:52Z) - Beyond Force Metrics: Pre-Training MLFFs for Stable MD Simulations [5.913538953257869]
Machine-learning force fields (MLFFs) have emerged as a promising solution for speeding up ab initio molecular dynamics (MD) simulations.<n>In this work, we employ GemNet-T, a graph neural network model, as an MLFF and investigate two training strategies.<n>We find that lower force errors do not necessarily guarantee stable MD simulations.
arXiv Detail & Related papers (2025-06-17T00:58:56Z) - In-situ and Non-contact Etch Depth Prediction in Plasma Etching via Machine Learning (ANN & BNN) and Digital Image Colorimetry [4.920922237326715]
This study proposes a non-contact, in-situ etch depth prediction framework based on machine learning (ML) techniques.<n>In the first scenario, an artificial neural network (ANN) is trained to predict average etch depth from process parameters.<n>In the second scenario, we demonstrate the feasibility of using RGB data from digital image colorimetry (DIC) as input for etch depth prediction.
arXiv Detail & Related papers (2025-05-03T14:43:19Z) - Generative Latent Neural PDE Solver using Flow Matching [8.397730500554047]
We propose a latent diffusion model for PDE simulation that embeds the PDE state in a lower-dimensional latent space.<n>Our framework uses an autoencoder to map different types of meshes onto a unified structured latent grid, capturing complex geometries.<n> Numerical experiments show that the proposed model outperforms several deterministic baselines in both accuracy and long-term stability.
arXiv Detail & Related papers (2025-03-28T16:44:28Z) - MultiPDENet: PDE-embedded Learning with Multi-time-stepping for Accelerated Flow Simulation [48.41289705783405]
We propose a PDE-embedded network with multiscale time stepping (MultiPDENet)<n>In particular, we design a convolutional filter based on the structure of finite difference with a small number of parameters to optimize.<n>A Physics Block with a 4th-order Runge-Kutta integrator at the fine time scale is established that embeds the structure of PDEs to guide the prediction.
arXiv Detail & Related papers (2025-01-27T12:15:51Z) - Physics-guided Active Sample Reweighting for Urban Flow Prediction [75.24539704456791]
Urban flow prediction is a nuanced-temporal modeling that estimates the throughput of transportation services like buses, taxis and ride-driven models.
Some recent prediction solutions bring remedies with the notion of physics-guided machine learning (PGML)
We develop a atized physics-guided network (PN), and propose a data-aware framework Physics-guided Active Sample Reweighting (P-GASR)
arXiv Detail & Related papers (2024-07-18T15:44:23Z) - Uncertainty-biased molecular dynamics for learning uniformly accurate interatomic potentials [25.091146216183144]
Active learning uses biased or unbiased molecular dynamics to generate candidate pools.
Existing biased and unbiased MD-simulation methods are prone to miss either rare events or extrapolative regions.
This work demonstrates that MD, when biased by the MLIP's energy uncertainty, simultaneously captures extrapolative regions and rare events.
arXiv Detail & Related papers (2023-12-03T14:39:14Z) - Monte Carlo Neural PDE Solver for Learning PDEs via Probabilistic Representation [59.45669299295436]
We propose a Monte Carlo PDE solver for training unsupervised neural solvers.<n>We use the PDEs' probabilistic representation, which regards macroscopic phenomena as ensembles of random particles.<n>Our experiments on convection-diffusion, Allen-Cahn, and Navier-Stokes equations demonstrate significant improvements in accuracy and efficiency.
arXiv Detail & Related papers (2023-02-10T08:05:19Z) - Stabilizing Machine Learning Prediction of Dynamics: Noise and
Noise-inspired Regularization [58.720142291102135]
Recent has shown that machine learning (ML) models can be trained to accurately forecast the dynamics of chaotic dynamical systems.
In the absence of mitigating techniques, this technique can result in artificially rapid error growth, leading to inaccurate predictions and/or climate instability.
We introduce Linearized Multi-Noise Training (LMNT), a regularization technique that deterministically approximates the effect of many small, independent noise realizations added to the model input during training.
arXiv Detail & Related papers (2022-11-09T23:40:52Z) - Multi-fidelity Hierarchical Neural Processes [79.0284780825048]
Multi-fidelity surrogate modeling reduces the computational cost by fusing different simulation outputs.
We propose Multi-fidelity Hierarchical Neural Processes (MF-HNP), a unified neural latent variable model for multi-fidelity surrogate modeling.
We evaluate MF-HNP on epidemiology and climate modeling tasks, achieving competitive performance in terms of accuracy and uncertainty estimation.
arXiv Detail & Related papers (2022-06-10T04:54:13Z) - Simultaneous boundary shape estimation and velocity field de-noising in
Magnetic Resonance Velocimetry using Physics-informed Neural Networks [70.7321040534471]
Magnetic resonance velocimetry (MRV) is a non-invasive technique widely used in medicine and engineering to measure the velocity field of a fluid.
Previous studies have required the shape of the boundary (for example, a blood vessel) to be known a priori.
We present a physics-informed neural network that instead uses the noisy MRV data alone to infer the most likely boundary shape and de-noised velocity field.
arXiv Detail & Related papers (2021-07-16T12:56:09Z) - ML-LBM: Machine Learning Aided Flow Simulation in Porous Media [0.0]
Direct simulation of fluid flow in porous media requires significant computational resources to solve within reasonable timeframes.
An integrated method combining predictions of fluid flow with direct flow simulation is outlined.
Deep Learning techniques based on Convolutional Neural Networks (CNNs) are shown to give an accurate estimate of the steady state velocity fields.
arXiv Detail & Related papers (2020-04-22T01:55:59Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.