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A probabilistic discrete model for 2D protein crystal growth is presented. This model takes into account the available space and can describe growing processes of different nature due to the versatility of its parameters which gives the…

生物物理 · 物理学 2019-02-20 V. J. Bolós , R. Benítez , A. Eleta-López , J. L. Toca-Herrera

The nucleation of crystals in liquids is one of nature's most ubiquitous phenomena, playing an important role in areas such as climate change and the production of drugs. As the early stages of nucleation involve exceedingly small time and…

We investigate analytically and computationally the dynamics of 2D needle crystal growth from the melt in a narrow channel. Our analytical theory predicts that, in the low supersaturation limit, the growth velocity $V$ decreases in time $t$…

材料科学 · 物理学 2023-05-24 Younggil Song , Damien Tourret , Alain Karma

The phase-field crystal equation, a parabolic, sixth-order and nonlinear partial differential equation, has generated considerable interest as a possible solution to problems arising in molecular dynamics. This is because the phase-field…

数学物理 · 物理学 2015-07-29 Philippe Vignal , Lisandro Dalcin , Donald L. Brown , Nathan Collier , Victor M. Calo

Mullins-Sekerka models with chemical reactions can lead to scenarios where droplets grow, become unstable, split, grow and undergo further division. These grow and division cycles have been proposed as a model for protocells and are…

偏微分方程分析 · 数学 2026-01-19 Harald Garcke , Kei Fong Lam , Robert Nürnberg , Andrea Signori

Background: Determining sample sizes for metabolomic experiments is important but due to the complexity of these experiments, there are currently no standard methods for sample size estimation in metabolomics. Since pilot studies are rarely…

We consider a model to describe stable configurations in epitaxial growth of crystals in the two dimensional case, and in the regime of linearized elasticity. The novelty is that the model also takes into consideration the adatom density on…

偏微分方程分析 · 数学 2024-11-28 Riccardo Cristoferi , Gabriele Fissore

DNA-coated colloids can self-assemble into an incredible diversity of crystal structures, but applications of this technology are limited by poor understanding and control over the dynamical crystallization pathways. To address this…

软凝聚态物质 · 物理学 2021-06-01 Alexander Hensley , William M. Jacobs , W. Benjamin Rogers

We present the first molecular dynamics study to probe the mechanisms of anomalous diffusion in cationic surfactant micelles in the presence of explicit salt and solvent-mediated interactions. Simulations show that when the counter ion…

软凝聚态物质 · 物理学 2017-08-02 Subas Dhakal , Radhakrishna Sureshkumar

We study a simple growth model for (d+1)-dimensional films of binary alloys in which atoms are allowed to interact and equilibrate at the surface, but are frozen in the bulk. The resulting crystal is highly anisotropic: Correlations…

统计力学 · 物理学 2009-10-28 Barbara Drossel , Mehran Kardar

Sintering, as a thermal process at elevated temperature below the melting point, is widely used to bond contacting particles into engineering products such as ceramics, metals, polymers, and cemented carbides. Modelling and simulation as…

材料科学 · 物理学 2023-02-13 Min Yi , Wenxuan Wang , Ming Xue , Qihua Gong , Bai-Xiang Xu

Nucleation and growth of crystal in an oxide glass was studied in a Si B Al Zr Nd Ca Na O system. The nucleation and growth process was monitored by thermal analysis and isothermal experiments. For the Ca sample the crystallization is…

材料科学 · 物理学 2007-10-10 D. De Ligny , Daniel Caurant , I. Bardez , J. -L. Dussossoy , P. Loiseau , D. R. Neuville

The effects of a (non co-crystallizing) nucleating agent on secondary nucleation rate and final lamellar thickness in isothermally melt-crystallizing polyethylene oxide are considered. SAXS reveals that lamellae formed in nucleated samples…

软凝聚态物质 · 物理学 2009-11-07 F. Aliotta , G. Di Marco , R. Ober , M. Pieruccini

We report a metadynamics simulation study of crystallization in a deep undercooled metallic glass-forming liquid by developing appropriate collective variables. Through a combined analysis of free energy surface (FES) and atomic-level…

无序系统与神经网络 · 物理学 2020-02-25 Wen-Xiong Song , Yong Yang , Weihua Wang , Pengfei Guan

Tumorigenesis is a complex process that is heterogeneous and affected by numerous sources of variability. This study presents a stochastic extension of a biologically grounded tumor growth model, referred to as the Norton-Simon-Massagu\'e…

Hypotheses: The aggregation number and length of spherocylindrical (rodlike, wormlike) micelles in solutions of an ionic surfactant and salt can be predicted knowing the molecular parameters and the input concentrations of the species. This…

软凝聚态物质 · 物理学 2020-10-20 K. D. Danov , P. A. Kralchevsky , R. D. Stanimirova , S. D. Stoyanov , J. L. Cook , I. P. Stott

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…

材料科学 · 物理学 2018-05-09 Paul Jreidini , Gabriel Kocher , Nikolas Provatas

We report a study on the kinetics of drying of a droplet of aqueous gelatin containing sodium chloride. The process of drying recorded on video, clearly shows different regimes of growth leading to a variety of crystalline patterns. Large…

软凝聚态物质 · 物理学 2015-06-23 Moutushi Dutta Choudhury , Tapati Dutta , Sujata Tarafdar

The metastable vapor-liquid coexistence of short-range attractive fluids hinders the formation of crystal nuclei, which in turn makes difficult the progress of the system towards its vapor-solid ground state. In this letter we show that…

介观与纳米尺度物理 · 物理学 2011-05-16 Gerardo Odriozola , Felipe Jiménez-Ángeles , Pedro Orea

In this work we report on kinetic Monte-Carlo calculations of resistive switching and the underlying growth dynamics of filaments in an electrochemical metallization device consisting of an Ag/TiO2/Pt sandwich-like thin film system. The…