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We present the first hard-constraint neural network for predicting activity coefficients (HANNA), a thermodynamic mixture property that is the basis for many applications in science and engineering. Unlike traditional neural networks, which…

Machine Learning · Computer Science 2024-12-05 Thomas Specht , Mayank Nagda , Sophie Fellenz , Stephan Mandt , Hans Hasse , Fabian Jirasek

We propose excess Gibbs free energy graph neural networks (GE-GNNs) for predicting composition-dependent activity coefficients of binary mixtures. The GE-GNN architecture ensures thermodynamic consistency by predicting the molar excess…

Disordered Systems and Neural Networks · Physics 2024-11-05 Jan G. Rittig , Alexander Mitsos

In order to establish the thermodynamic stability of a system, knowledge of its Gibbs free energy is essential. Most often, the Gibbs free energy is predicted within the CALPHAD framework using models employing thermodynamic properties,…

The enthalpy of mixing in the liquid phase is a thermodynamic property reflecting interactions between elements that is key to predict phase transformations. Widely used models exist to predict it, but they have never been systematically…

Predictive models of thermodynamic properties of mixtures are paramount in chemical engineering and chemistry. Classical thermodynamic models are successful in generalizing over (continuous) conditions like temperature and concentration. On…

The accurate prediction of physicochemical properties of chemical compounds in mixtures (such as the activity coefficient at infinite dilution $\gamma_{ij}^\infty$) is essential for developing novel and more sustainable chemical processes.…

Chemical Physics · Physics 2023-05-04 Edgar Ivan Sanchez Medina , Steffen Linke , Martin Stoll , Kai Sundmacher

Machine learning is a promising technique for many practical applications. In this perspective, we illustrate the development and application for machine learning. It is indicated that the theories and applications of machine learning…

Computers and Society · Computer Science 2018-01-04 Zhijian Liu , Di Wu , Hongyu Wei , Guoqing Cao

We propose a methodology to generate hybrid machine learning models for the potential energy surface trained simultaneously on data from ab initio electronic structure calculations and on thermodynamic and/or structural observables from…

Statistical Mechanics · Physics 2025-11-19 Pablo Peña-Cano , Pablo M. Piaggi

We present an ensemble machine-learning approach for composition-based, structure-agnostic screening of candidate superconductors among ternary hydrides under high pressure. Hydrogen-rich hydrides are known to exhibit high superconducting…

Superconductivity · Physics 2026-05-18 Kazuaki Tokuyama , Souta Miyamoto , Taichi Masuda , Katsuaki Tanabe

Predictive thermodynamic models are crucial for the early stages of product and process design. In this paper the performance of Graph Neural Networks (GNNs) embedded into a relatively simple excess Gibbs energy model, the extended Margules…

Chemical Physics · Physics 2025-02-27 Edgar Ivan Sanchez Medina , Kai Sundmacher

We propose an efficient ab initio framework to compute the Gibbs energy of the transition state in vacancy-mediated diffusion including the relevant thermal excitations at density-functional-theory level. With the aid of a bespoke…

Materials Science · Physics 2024-10-08 Xi Zhang , Sergiy V. Divinski , Blazej Grabowski

This work is devoted to the consistent modeling of a three-phase mixture of a gas, a liquid and its vapor. Since the gas and the vapor are mis-cible, the mixture is subjected to a non-symmetric constraint on the volume. Adopting the Gibbs…

Analysis of PDEs · Mathematics 2017-10-13 Hélène Mathis

Foundational Machine Learning Potentials can resolve the accuracy and transferability limitations of classical force fields. They enable microscopic insights into material behavior through Molecular Dynamics simulations, which can crucially…

Computational Physics · Physics 2025-12-04 Paul Fuchs , Julija Zavadlav

The promise of chemical computation lies in controlling systems incompatible with traditional electronic micro-controllers, with applications in synthetic biology and nano-scale manufacturing. Computation is typically embedded in…

Emerging Technologies · Computer Science 2019-02-11 Keenan Breik , Chris Thachuk , Marijn Heule , David Soloveichik

We train an equivariant machine learning model to predict energies and forces for a real-world study of hydrogen combustion under conditions of finite temperature and pressure. This challenging case for reactive chemistry illustrates that…

Chemical Physics · Physics 2023-06-16 Xingyi Guan , Joseph Heindel , Taehee Ko , Chao Yang , Teresa Head-Gordon

We present a data-centric deep learning (DL) approach using neural networks (NNs) to predict the thermodynamics of ternary solid solutions. We explore how NNs can be trained with a dataset of Gibbs free energies computed from a CALPHAD…

Materials Science · Physics 2022-09-14 Paul Laiu , Ying Yang , Massimiliano Lupo Pasini , Jong Youl Choi , Dongwon Shin

Accurate prediction of main engine power is essential for vessel performance optimization, fuel efficiency, and compliance with emission regulations. Conventional machine learning approaches, such as Support Vector Machines, variants of…

Machine Learning · Computer Science 2026-02-23 Orfeas Bourchas , George Papalambrou

The prediction of phase diagrams in the search for new phases is a complex and computationally intensive task. Density functional theory provides, in many situations, the desired accuracy, but its throughput becomes prohibitively limited as…

Materials Science · Physics 2023-09-19 Michael Minotakis , Hugo Rossignol , Matteo Cobelli , Stefano Sanvito

We develop a mixed formulation for incompressible hyper-elastodynamics based on a continuum modeling framework recently developed and smooth generalizations of the Taylor-Hood element based on non-uniform rational B-splines (NURBS). This…

Numerical Analysis · Mathematics 2019-08-13 Ju Liu , Alison L. Marsden , Zhen Tao

In recent years, machine learning has demonstrated impressive capability in handling molecular science tasks. To support various molecular properties at scale, machine learning models are trained in the multi-task learning paradigm.…

Machine Learning · Computer Science 2024-10-15 Yuxuan Ren , Dihan Zheng , Chang Liu , Peiran Jin , Yu Shi , Lin Huang , Jiyan He , Shengjie Luo , Tao Qin , Tie-Yan Liu
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