Particle-Guided Diffusion for Gas-Phase Reaction Kinetics
Andrew Millard, Henrik Pedersen

TL;DR
This paper introduces a diffusion-based sampling method trained on ARD equation solutions to generate physically consistent gas-phase reaction concentration fields and predict outlet concentrations, even at unseen parameters.
Contribution
It applies diffusion model priors to chemically meaningful reaction-transport systems, demonstrating accurate and physically consistent predictions for gas-phase reactions.
Findings
Generates physically consistent concentration fields
Accurately predicts outlet concentrations
Effective at unseen parameter values
Abstract
Physics-guided sampling with diffusion model priors has shown promise for solving partial differential equation (PDE) governed problems, but applications to chemically meaningful reaction-transport systems remain limited. We apply diffusion-based guided sampling to gas-phase chemical reactions by training on solutions of the advection-reaction-diffusion (ARD) equation across varying parameters. The method generates physically consistent concentration fields and accurately predicts outlet concentrations, including at unseen parameter values, demonstrating the potential of diffusion models for inference in reactive transport.
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Taxonomy
TopicsModel Reduction and Neural Networks · Numerical methods for differential equations · Gaussian Processes and Bayesian Inference
