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We present a new phase field crystal model for structural transformations in multi-component alloys. The formalism builds upon the two-point correlation kernel developed in Greenwood et al. for describing structural transformations in pure…

Materials Science · Physics 2015-06-12 Nana Ofori-Opoku , Vahid Fallah , Michael Greenwood , Shahrzad Esmaeili , Nikolas Provatas

Exploring the vast composition space of multi-component alloys presents a challenging task for both \textit{ab initio} (first principles) and experimental methods due to the time-consuming procedures involved. This ultimately impedes the…

We investigate crystal nucleation in supersaturated colloid suspensions using enhanced molecular dynamics simulations augmented with machine learning techniques. The simulations reveal that crystallization in the model colloidal system…

Soft Condensed Matter · Physics 2024-04-30 Vanessa J. Meraz , Ziyue Zou , Pratyush Tiwary

The aim article is to contribute to the definition of a versatile language for metastability in the context of partial differential equations of evolutive type. A general framework suited for parabolic equations in one dimensional bounded…

Analysis of PDEs · Mathematics 2013-03-25 Corrado Mascia , Marta Strani

We search for new superhard B-N-O compounds with an iterative machine learning (ML) procedure, where ML models are trained using sample crystal structures from evolutionary algorithm. We first use cohesive energy to evaluate the…

Materials Science · Physics 2022-06-22 Wei-Chih Chen , Yogesh K. Vohra , Cheng-Chien Chen

Crystal structure prediction is now playing an increasingly important role in discovery of new materials. Global optimization methods such as genetic algorithms (GA) and particle swarm optimization (PSO) have been combined with first…

Materials Science · Physics 2021-02-09 Jianjun Hu , Wenhui Yang , Rongzhi Dong , Yuxin Li , Xiang Li , Shaobo Li

By applying a genetic algorithm in a cascade approach of increasing accuracy, we calculate the composition and structure of MgMOx clusters at realistic temperatures and oxygen pressures. The stable and metastable systems are identified by…

Even though thermodynamic energy-based crystal structure prediction (CSP) has revolutionized materials discovery, the energy-driven CSP approaches often struggle to identify experimentally realizable metastable materials synthesized through…

Materials Science · Physics 2025-05-15 Yu Xin , Peng Liu , Zhuohang Xie , Wenhui Mi , Pengyue Gao , Hong Jian Zhao , Jian Lv , Yanchao Wang , Yanming Ma

Truly stable metastable states are an artifact of the mean-field approximation or the zero temperature limit. If such appealing concepts in glass theory as configurational entropy are to have a meaning beyond these approximations, one needs…

Statistical Mechanics · Physics 2016-08-31 Giulio Biroli , Jorge Kurchan

A systematic search for multicomponent crystal structures is carried out for five different ternary systems of nuclei in a polarizable background of electrons, representative of accreted neutron star crusts and some white dwarfs. Candidate…

High Energy Astrophysical Phenomena · Physics 2016-03-09 T. A. Engstrom , N. C. Yoder , V. H. Crespi

Atom arrangement plays a critical role in determining material properties. It is, therefore, essential for materials science and engineering to identify and characterize distinct atom configurations. Currently, crystal structures can be…

Materials Science · Physics 2023-10-18 Rafał Abram , Dariusz Chrobak

The discovery of new materials using crystal structure prediction (CSP) based on generative machine learning models has become a significant research topic in recent years. In this paper, we study invariance and continuity in the generative…

Machine Learning · Computer Science 2025-02-05 Yuji Tone , Masatoshi Hanai , Mitsuaki Kawamura , Kenjiro Taura , Toyotaro Suzumura

Accurately determining the crystallographic structure of a material, organic or inorganic, is a critical primary step in material development and analysis. The most common practices involve analysis of diffraction patterns produced in…

Crystal symmetry plays a fundamental role in determining its physical, chemical, and electronic properties such as electrical and thermal conductivity, optical and polarization behavior, and mechanical strength. Almost all known crystalline…

Lithium (Li) is a prototypical simple metal at ambient conditions, but exhibits remarkable changes in structural and electronic properties under compression. There has been intense debate about the structure of dense Li, and recent…

Materials Science · Physics 2023-06-21 Xiaoyang Wang , Zhenyu Wang , Pengyue Gao , Chengqian Zhang , Jian Lv , Han Wang , Haifeng Liu , Yanchao Wang , Yanming Ma

Crystallization, a fundamental phase transition process governing material formation in natural and industrial contexts, involves the spontaneous emergence of long-range structural order from disordered phases. This long-range periodicity…

Statistical Mechanics · Physics 2025-10-13 YaoKun Lei , MaoDong Li , Yi Isaac Yang

Stellar ages are key for determining the formation history of the Milky Way, but are difficult to measure precisely. Furthermore, methods that use chemical abundances to infer ages may entangle the intrinsic evolution of stars with the…

Astrophysics of Galaxies · Physics 2023-05-26 Jeff Shen , Joshua S. Speagle , J. Ted Mackereth , Yuan-Sen Ting , Jo Bovy

The ionic bonding across the lattice and ordered microscopic structures endow crystals with unique symmetry and determine their macroscopic properties. Unconventional crystals, in particular, exhibit non-traditional lattice structures or…

Materials Science · Physics 2024-11-04 Hongyi Wang , Ji Sun , Jinzhe Liang , Li Zhai , Zitian Tang , Zijian Li , Wei Zhai , Xusheng Wang , Weihao Gao , Sheng Gong

Stochastic dynamical systems arise naturally across nearly all areas of science and engineering. Typically, a dynamical system model is based on some prior knowledge about the underlying dynamics of interest in which probabilistic features…

Computational Engineering, Finance, and Science · Computer Science 2021-09-03 Chao Yin , Xihaier Luo , Ahsan Kareem

We investigate the dynamics of cellular solidification patterns using three-dimensional phase-field simulations. The cells can organize into stable hexagonal patterns or exhibit unsteady evolutions. We identify the relevant secondary…

Materials Science · Physics 2009-11-07 Mathis Plapp , Marcus Dejmek