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Over the last number of years several simulation methods have been introduced to study rare events such as nucleation. In this paper we examine the crystal nucleation rate of hard spheres using three such numerical techniques: molecular…

Soft Condensed Matter · Physics 2012-08-17 Laura Filion , Michiel Hermes , Ran Ni , Marjolein Dijkstra

Using computer simulations we investigate the homogeneous crystal nucleation in suspensions of colloidal hard dumbbells. The free energy barriers are determined by Monte Carlo simulations using the umbrella sampling technique. We calculate…

Soft Condensed Matter · Physics 2012-08-17 Ran Ni , Marjolein Dijkstra

In this work, we introduce Variational Umbrella Seeding, a novel technique for computing nucleation barriers. This new method, a refinement of the original seeding approach, is far less sensitive to the choice of order parameter for…

Soft Condensed Matter · Physics 2024-05-03 Willem Gispen , Jorge R. Espinosa , Eduardo Sanz , Carlos Vega , Marjolein Dijkstra

A full understanding of polycrystalline materials requires studying the process of nucleation, a thermally activated phase transition that typically occurs at atomistic scales. The numerical modeling of this process is problematic for…

Materials Science · Physics 2018-05-09 Paul Jreidini , Gabriel Kocher , Nikolas Provatas

The crystal nucleation from liquid in most cases is too rare to be accessed within the limited timescales of the conventional molecular dynamics (MD) simulation. Here, we developed a "persistent embryo" method to facilitate crystal…

Materials Science · Physics 2018-02-27 Yang Sun , Huajing Song , Feng Zhang , Lin Yang , Zhuo Ye , Mikhail I. Mendelev , Cai-Zhuang Wang , Kai-Ming Ho

In the study of crystal nucleation via computer simulations, hard spheres are arguably the most extensively explored model system. Nonetheless, even in this simple model system, the complex thermodynamics of crystal nuclei can sometimes…

Soft Condensed Matter · Physics 2025-02-19 Marjolein de Jager , Carlos Vega , Pablo Montero de Hijes , Frank Smallenburg , Laura Filion

We determine the nucleation rates of hard spheres using brute-force molecular dynamics simulations. We overcome nucleation barriers of up to $28 k_B T$, leading to a rigorous test of nucleation rates obtained from rare-event methods and…

Soft Condensed Matter · Physics 2023-09-13 Willem Gispen , Marjolein Dijkstra

Standard X-ray crystallography methods use free-atom models to calculate mean unit cell charge densities. Real molecules, however, have shared charge that is not captured accurately using free-atom models. To address this limitation, a…

Materials Science · Physics 2016-04-12 Michael E. Wall

Recently, a list of the top 50 most important electron capture (EC) and $\beta$-decay (BD) nuclei, averaged throughout the stellar trajectory for $0.500 > Y_e > 0.400$, was published. The current study presents the calculation of EC and BD…

Nuclear Theory · Physics 2025-03-19 Asim Ullah , Jameel-Un Nabi

The rotational bands in nuclei with $Z \approx 100$ are investigated systematically by using a cranked shell model (CSM) with the pairing correlations treated by a particle-number conserving (PNC) method, in which the blocking effects are…

Nuclear Theory · Physics 2012-01-27 Zhen-Hua Zhang , Xiao-Tao He , Jin-Yan Zeng , En-Guang Zhao , Shan-Gui Zhou

We study the nucleation of nearly-hard charged colloidal particles. We use Monte Carlo simulations in combination with free-energy calculations to accurately predict the phase diagrams of these particles and map them via the freezing…

Soft Condensed Matter · Physics 2024-06-12 Marjolein de Jager , Laura Filion

Over the past two decades, a large number of studies addressed the topic of crystal nucleation in suspensions of hard spheres. The shared result of all these efforts is that, at low super-saturations, experimentally observed nucleation…

Soft Condensed Matter · Physics 2022-06-22 Wilkin Wöhler , Tanja Schilling

We propose kernel PCA as a method for analyzing the dependence structure of multivariate extremes and demonstrate that it can be a powerful tool for clustering and dimension reduction. Our work provides some theoretical insight into the…

Machine Learning · Statistics 2022-11-28 Marco Avella-Medina , Richard A. Davis , Gennady Samorodnitsky

The structure of nuclei with $Z\sim100$ is investigated systematically by the Cranked Shell Model (CSM) with pairing correlations treated by a Particle-Number Conserving (PNC) method. In the PNC method, the particle number is conserved and…

A multiscale QM/classical approach is presented, that is able to model the optical properties of complex nanostructures composed of a molecular system adsorbed on metal nanoparticles. The latter are described by a combined…

Chemical Physics · Physics 2024-10-29 Pablo Grobas Illobre , Piero Lafiosca , Luca Bonatti , Tommaso Giovannini , Chiara Cappelli

Calculating weak decay rates under stellar conditions for studying presupernova evolution of massive stars is a challenging task. Here we show the importance of odd A nuclei for presupernova simulations. In order to calculate the required…

Nuclear Theory · Physics 2025-02-28 Muhammad Riaz , Jameel-Un Nabi , Muhammad Majid

This paper studies numerically the Weeks-Chandler-Andersen (WCA) system, which is shown to obey hidden scale invariance with a density-scaling exponent that varies from below 5 to above 500. This unprecedented variation makes it…

Soft Condensed Matter · Physics 2021-06-30 Eman Attia , Jeppe C. Dyre , Ulf R. Pedersen

A new model to calculate the rate of nucleation is formulated. This model is based on the classical nucleation theory but considers also vapor depletion around the formed embryo. The key characteristic which arises in frames of this theory…

Statistical Mechanics · Physics 2013-02-21 Victor Kurasov

Kernel density estimation, a.k.a. Parzen windows, is a popular density estimation method, which can be used for outlier detection or clustering. With multivariate data, its performance is heavily reliant on the metric used within the…

Machine Learning · Computer Science 2012-12-11 Nicolas Le Roux , Francis Bach

A method for calculation of Gamow-Teller transition rates is developed by using the concept of the Projected Shell Model (PSM). The shell model basis is constructed by superimposing angular-momentum-projected multi-quasiparticle…

Nuclear Theory · Physics 2008-11-26 Zao-Chun Gao , Yang Sun , Y. -S. Chen
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