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Symmetry-breaking bifurcations, where a flow state with a certain symmetry undergoes a transition to state with a different symmetry, are ubiquitous in fluid mechanics. Much can be understood about the nature of these transitions from…

Fluid Dynamics · Physics 2024-11-20 John F. Rudge , Dan McKenzie

Plastic deformation of most crystalline materials is due to the motion of lattice dislocations. Therefore, the simulation of the interaction and dynamics of these defects has become state-of-the-art method to study work hardening, size…

Materials Science · Physics 2020-10-02 Gábor Péterffy , Péter Dusán Ispánovity

In this article, we demonstrate a method for inducing reversible crystal-to-crystal transitions in binary mixtures of soft colloidal particles. Through a controlled decrease of salinity and increasingly dominating electrostatic…

Soft Condensed Matter · Physics 2021-08-30 Jasper N. Immink , Maxime J. Bergman , J. J. Erik Maris , Joakim Stenhammar , Peter Schurtenberger

The phase-field method has become a useful tool for the simulation of classical metallurgical phase transformations as well as other phenomena related to materials science. The thermodynamic consistency that forms the basis of these…

Phase diagrams are an invaluable tool for material synthesis and provide information on the phases of the material at any given thermodynamic condition. Conventional phase diagram generation involves experimentation to provide an initial…

The phase-field method has become in recent years the method of choice for simulating microstructural pattern formation during solidification. One of its main advantages is that time-dependent three-dimensional simulations become feasible.…

Materials Science · Physics 2007-05-23 M. Dejmek , R. Folch , A. Parisi , M. Plapp

We describe here our perception of complex systems, of how we feel the different layers of description are important part of a correct complex system simulation. We describe a rough models categorization between rules based and law based,…

Fluid Dynamics · Physics 2007-12-18 Pierrick Tranouez , Cyrille Bertelle , Damien Olivier

Crystal structure prediction has been a subject of topical interest, but remains a substantial challenge, especially for complex structures as it deals with the global minimization of the extremely rugged high-dimensional potential energy…

Materials Science · Physics 2022-01-26 Xuecheng Shao , Jian Lv , Peng Liu , Sen Shao , Pengyue Gao , Hanyu Liu , Yanchao Wang , Yanming Ma

This paper develops a new continuous approach to a similarity between periodic lattices of ideal crystals. Quantifying a similarity between crystal structures is needed to substantially speed up the Crystal Structure Prediction, because the…

Computational Geometry · Computer Science 2024-09-05 Marco Michele Mosca , Vitaliy Kurlin

A modified phase field crystal model in which the free energy may be minimised by an order parameter profile having isolated bumps is investigated. The phase diagram is calculated in one and two dimensions and we locate the regions where…

Soft Condensed Matter · Physics 2012-08-31 Mark J. Robbins , Andrew J. Archer , Uwe Thiele , Edgar Knobloch

Crystal structures are characterized by atomic bases within a primitive unit cell that repeats along a regular lattice throughout 3D space. The periodic and infinite nature of crystals poses unique challenges for geometric graph…

Machine Learning · Computer Science 2024-03-19 Keqiang Yan , Cong Fu , Xiaofeng Qian , Xiaoning Qian , Shuiwang Ji

The construction of numerical schemes for the Kuramoto model is challenging due to the structural properties of the system which are essential in order to capture the correct physical behavior, like the description of stationary states and…

Numerical Analysis · Mathematics 2018-11-14 José A. Carrillo , Young-Pil Choi , Lorenzo Pareschi

Crystal structure prediction algorithms have become powerful tools for materials discovery in recent years, however, they are usually limited to relatively small systems. The main challenge is that the number of local minima grows…

Materials Science · Physics 2022-02-09 Hao Gao , Junjie Wang , Yu Han , Jian Sun

Relaxation phenomena in glasses can be related to jump processes between different minima of the potential energy in the configuration space. These transitions play a key role in the low temperature regime, giving rise to tunneling systems…

Disordered Systems and Neural Networks · Physics 2015-06-25 Claudio Brangian , Oreste Pilla , Gabriele Viliani

A new method is presented for mesoscopic simulations of particle dispersions in nematic liquid crystal solvents. It allows efficient first-principle simulations of the dispersions involving many particles with many-body interactions…

Soft Condensed Matter · Physics 2009-11-07 Ryoichi Yamamoto

Optimization via simulation has been well established to find optimal solutions and designs in complex systems. However, it still faces modeling and computational challenges when extended to the multi-stage setting. This survey reviews the…

Optimization and Control · Mathematics 2023-12-08 Zhuo Zhang , Dan Wang , Haoxiang Yang , Shubin Si

The dynamics of glass formation in monatomic and binary liquids are studied numerically using a microscopic field theory for the evolution of the time-averaged atomic number density. A stochastic framework combining phase field crystal free…

Materials Science · Physics 2015-05-27 Joel Berry , Martin Grant

We extend the phase field crystal method for nonequilibrium patterning to stochastic systems with external source where transient dynamics is essential. It was shown that at short time scales the system manifests pattern selection…

Statistical Mechanics · Physics 2011-01-18 D. Kharchenko , V. Kharchenko , I. Lysenko

We use molecular dynamics with an embedded atom potential to study the behavior of palladium nanoclusters near the melting point in the microcanonical ensemble. We see transitions from both fcc and decahedral ground state structures to…

Other Condensed Matter · Physics 2007-05-23 D. Schebarchov , S. C. Hendy

We introduce a novel scheme for the mechanistic investigation of solid-solid phase transitions, which we dub \textit{metashooting}. Combining transition path sampling molecular dynamics and metadynamics, this scheme allows for both a…

Statistical Mechanics · Physics 2018-04-24 Samuel Alexander Jobbins , Salah Eddine Boulfelfel , Stefano Leoni