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Related papers: Unified Model for Crystalline Material Generation

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We study a crystal growth Markov model proposed by Gates and Westcott (\cite{Kinetics1}, \cite{Kinetics2}). This is an aggregation process where particles are packed in a square lattice accordingly to prescribed deposition rates. This model…

Probability · Mathematics 2012-11-07 François Ezanno

Synthetic polymeric materials underpin fundamental technologies in the energy, electronics, consumer goods, and medical sectors, yet their development still suffers from prolonged design timelines. Although polymer informatics tools have…

Computational Engineering, Finance, and Science · Computer Science 2025-06-12 Ayush Jain , Rampi Ramprasad

Crystal property prediction, governed by quantum mechanical principles, is computationally prohibitive to solve exactly for large many-body systems using traditional density functional theory. While machine learning models have emerged as…

Materials Science · Physics 2026-01-28 Bin Cao , Yang Liu , Longhan Zhang , Yifan Wu , Zhixun Li , Yuyu Luo , Hong Cheng , Yang Ren , Tong-Yi Zhang

Crystal Structure Prediction (CSP) aims to discover solid crystalline materials by optimizing periodic arrangements of atoms, ions or molecules. CSP takes weeks of supercomputer time because of slow energy minimizations for millions of…

Materials Science · Physics 2021-08-17 Jakob Ropers , Marco M Mosca , Olga Anosova , Vitaliy Kurlin , Andrew I Cooper

Efficient heuristics have predicted many functional materials such as high-temperature superconducting hydrides, while inorganic structural chemistry explains why and how the crystal structures are stabilized. Here we develop the paired…

Materials Science · Physics 2024-11-07 Ryotaro Koshoji , Taisuke Ozaki

We propose an approach for exploiting machine learning to approximate electronic fields in crystalline solids subjected to deformation. Strain engineering is emerging as a widely used method for tuning the properties of materials, and this…

Materials Science · Physics 2021-12-28 Ying Shi Teh , Swarnava Ghosh , Kaushik Bhattacharya

A scattering model is developed for ultracold molecular collisions, which allows inelastic processes, chemical reactions, and complex formation to be treated in a unified way. All these scattering processes and various combinations of them…

Atomic Physics · Physics 2020-09-23 James F. E. Croft , John L. Bohn , Goulven Quéméner

The rate of curvature-driven grain growth in polycrystalline materials is well-known to be limited by interface dissipation. We show analytically and by simulations that, for systems forming modulated phases or non-equilibrium patterns with…

Materials Science · Physics 2015-06-15 Ari Adland , Yechuan Xu , Alain Karma

Enhancing the kinetic stability of glasses often necessitates deepening thermodynamic stability, which typically compromises ductility due to increased structural rigidity. Decoupling these properties remains a critical challenge for…

Materials Science · Physics 2025-12-24 Huanrong Liu , Qingan Li , Shan Zhang , Rui Su , Yunjiang Wang , Pengfei Guan

Rapid solidification leads to unique microstructural features, where a less studied topic is the formation of various crystalline defects, including high dislocation densities, as well as gradients and splitting of the crystalline…

Machine learning has the potential to accelerate materials discovery by accurately predicting materials properties at a low computational cost. However, the model inputs remain a key stumbling block. Current methods typically use…

Computational Physics · Physics 2021-01-07 Rhys E. A. Goodall , Alpha A. Lee

We propose GeoUni, the first unified geometry expert model capable of generating problem solutions and diagrams within a single framework in a way that enables the creation of unique and individualized geometry problems. Traditionally,…

Machine Learning · Computer Science 2025-05-09 Jo-Ku Cheng , Zeren Zhang , Ran Chen , Jingyang Deng , Ziran Qin , Jinwen Ma

We consider the crystallization problem for a finite one-dimensional collection of identical hard spheres in a periodic energy landscape. This issue arises in connection with the investigation of crystalline states of ionic dimers, as well…

Mesoscale and Nanoscale Physics · Physics 2020-05-20 Manuel Friedrich , Ulisse Stefanelli

Advances in generative artificial intelligence are transforming how metal-organic frameworks (MOFs) are designed and discovered. This Perspective introduces the shift from laborious enumeration of MOF candidates to generative approaches…

We propose a method for crystal structure prediction based on a new structure generation algorithm and on-lattice machine learning interatomic potentials. Our algorithm generates the atomic configurations assigning atomic species to sites…

Materials Science · Physics 2023-06-08 Vadim Sotskov , Alexander V. Shapeev , Evgeny V. Podryabinkin

Classical force fields (FF) based on machine learning (ML) methods show great potential for large scale simulations of materials. MLFFs have hitherto largely been designed and fitted for specific systems and are not usually transferable to…

Materials Science · Physics 2023-03-06 Kamal Choudhary , Brian DeCost , Lily Major , Keith Butler , Jeyan Thiyagalingam , Francesca Tavazza

Predicting physical properties of materials from their crystal structures is a fundamental problem in materials science. In peripheral areas such as the prediction of molecular properties, fully connected attention networks have been shown…

Machine Learning · Computer Science 2024-03-19 Tatsunori Taniai , Ryo Igarashi , Yuta Suzuki , Naoya Chiba , Kotaro Saito , Yoshitaka Ushiku , Kanta Ono

Crystal structure prediction is a fundamental problem in materials science. We present CrystalFormer-CSP, an efficient framework that unifies data-driven heuristic and physics-driven optimization approaches to predict stable crystal…

Materials Science · Physics 2025-12-23 Zhendong Cao , Shigang Ou , Lei Wang

Crystals in nature often demonstrate curved morphologies rather than classical faceted surfaces. Inspired by biogenic curved single crystals, we demonstrate that gold single crystals exhibiting curved surfaces can be grown with no need of…

Generative modeling of symmetric densities has a range of applications in AI for science, from drug discovery to physics simulations. The existing generative modeling paradigm for invariant densities combines an invariant prior with an…

Machine Learning · Computer Science 2026-04-14 Kusha Sareen , Daniel Levy , Arnab Kumar Mondal , Sékou-Oumar Kaba , Tara Akhound-Sadegh , Siamak Ravanbakhsh
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