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A two-dimensional system of soft particles interacting via a two-length-scale potential is studied. Density functional theory and Brownian dynamics simulations reveal a fluid phase and two crystalline phases with different lattice spacing.…

Soft Condensed Matter · Physics 2013-10-30 A. J. Archer , A. M. Rucklidge , E. Knobloch

We apply a simple dynamical density functional theory, the phase-field crystal (PFC) model of overdamped conservative dynamics, to address polymorphism, crystal nucleation, and crystal growth in the diffusion-controlled limit. We refine the…

Materials Science · Physics 2015-05-18 Gyula I. Tóth , György Tegze , Tamás Pusztai , László Gránásy

The interplay between densification and positional ordering during the process of crystal nucleation is a greatly investigated topic. Even for the simplest colloidal model -- hard spheres -- there has been much debate regarding the…

Soft Condensed Matter · Physics 2025-02-19 Marjolein de Jager , Nena Slaats , Laura Filion

The basic physics of nucleation in solid \hl{single-crystal} nanoparticles is revealed by a phase-field theory that includes surface energy, chemical reactions and coherency strain. In contrast to binary fluids, which form arbitrary contact…

Materials Science · Physics 2014-09-17 Daniel A. Cogswell , Martin Z. Bazant

The pasta phases predicted to occur near the inner boundary of the crust of a neutron star resemble liquid crystals, a smectic A in the case of sheet-like nuclei (lasagna) and the columnar phase in the case of rod-like nuclei (spaghetti).…

Nuclear Theory · Physics 2019-02-20 D. N. Kobyakov , C. J. Pethick

Nucleation, the pivotal first step of crystallization, governs essential characteristics of crystallization products, including size distribution, morphology, and polymorphism. While understanding this process is paramount to the design of…

Understanding the pathways to crystallization during the deposition of a vapor phase on a cold solid substrate is of great interest in industry, e.g., for the realization of electronic devices made of crystallites-free glassy materials, as…

Soft Condensed Matter · Physics 2023-10-03 Fabio Leoni , Hajime Tanaka , John Russo

We report a numerical study of the rate of crystal nucleation in a binary suspension of oppositely charged colloids. Two different crystal structures compete in the thermodynamic conditions under study. We find that the crystal phase that…

Soft Condensed Matter · Physics 2011-11-10 Eduardo Sanz , Chantal Valeriani , Daan Frenkel , Marjolein Dijkstra

Crystallization is one of the most important phase transformations of first order. In the case of metals and alloys, the liquid phase is the parent phase of materials production. The conditions of the crystallization process control the…

Materials Science · Physics 2016-11-03 Diter M. Herlach , Thomas Palberg

The phase separation mechanism of a binary liquid mixture off-critically quenched in its miscibility gap is nucleation and growth, its homogeneous phase reaching a metastable equilibrium state. The successive stages of growth of the…

Statistical Mechanics · Physics 2009-11-18 Jean Colombani , Jacques Bert

The emergence upon cooling of an ordered solid phase from a liquid is a remarkable example of self-assembly, which has also major practical relevance. Here, we use a recently developed committor-based enhanced sampling method [Kang et al.,…

Statistical Mechanics · Physics 2025-06-30 Yuanpeng Deng , Peilin Kang , Xiang Xu , Hui Li , Michele Parrinello

Nucleation and growth is the dominant relaxation mechanism driving first order phase transitions. In two-dimensional at systems nucleation has been applied to a wide range of problems in physics, chemistry and biology. Here we study…

Soft Condensed Matter · Physics 2016-03-09 Leopoldo R. Gomez , Nicolas A. Garcia , Vincenzo Vitelli , Jose Lorenzana , Daniel A. Vega

It is demonstrated by analyzing real examples that phase transitions in layered crystals occur like all other solid-state phase transitions by nucleation and crystal growth, but have a specific morphology. There the nucleation is epitaxial,…

General Physics · Physics 2011-05-24 Yuri Mnyukh

A cascade of phase transitions from square to hexagonal lattice is studied in 2D system of particles interacting via core-softened potential. Due to the presence of two length-scales of repulsion, different local configurations with four,…

Soft Condensed Matter · Physics 2017-12-14 N. P. Kryuchkov , S. O. Yurchenko , Yu. D. Fomin , E. N. Tsiok , V. N. Ryzhov

We report numerical investigations of a three-dimensional model of diffusive growth of fine particles, the internal structure of which corresponds to different crystal lattices. A growing cluster (particle) is immersed in, and exchanges…

Statistical Mechanics · Physics 2010-10-12 Vyacheslav Gorshkov , Alexandr Zavalov , Vladimir Privman

We revisit the effect of polydispersity on the crystal nucleation of hard spheres. Using event-driven molecular dynamics simulations, we obtain the nucleation rate as a function of the supersaturation for a range of polydispersities, and…

Soft Condensed Matter · Physics 2025-12-24 Marjolein de Jager , Antoine Castagnède , Frank Smallenburg , Laura Filion

Crystallization represents a fundamental process engendering solidification of a material and determines its microstructure. Driven by complex phenomena at the atomic scale, its understanding for alloys still remains elusive. The present…

Materials Science · Physics 2022-10-06 Sébastien Becker , Emilie Devijver , Rémi Molinier , Noël Jakse

Identifying nucleation pathway is important for understanding the kinetics of first-order phase transitions in natural systems. In the present work, we study nucleation pathway of the Ising model in homogeneous and heterogeneous networks…

Statistical Mechanics · Physics 2013-05-07 Chuansheng Shen , Hanshuang Chen , Zhonghuai Hou

Background: Neutron stars are astronomical systems with nucleons submitted to extreme conditions. Due to the longer range coulomb repulsion between protons, the system has structural inhomogeneities. Several interactions tailored to…

Nuclear Theory · Physics 2018-01-24 Pablo Alcain , Claudio Dorso

We demonstrate a variety of ordered patterns, including hexagonal structures and chains, formed by colloidal particles (droplets) at the free surface of a nematic liquid crystal (LC). The surface placement introduces a new type of particle…

Soft Condensed Matter · Physics 2009-11-10 I. I. Smalyukh , S. Chernyshuk , B. I. Lev , A. B. Nych , U. Ognysta , V. G. Nazarenko , O. D. Lavrentovich