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Complexity Theory is highly interdisciplinary, therefore any regularities must hold on all levels of organization, independent on the nature of the system. An open question in science is how complex systems self-organize to produce emergent…

Solar and Stellar Astrophysics · Physics 2022-02-07 Travis Herman Butler , Georgi Yordanov Georgiev

The thermodynamics of strongly anisotropic crystalline surfaces is analogous to that of a binary mixture exhibiting phase separation. On a metastable planar surface, formation of stable orientations requires a nucleation process, in which…

Materials Science · Physics 2019-11-05 Thomas Philippe , Hervé Henry , Mathis Plapp

We discuss the microscopic mechanisms by which low-temperature amorphous states, such as ultrastable glasses, transform into equilibrium fluids, after a sudden temperature increase. Experiments suggest that this process is similar to the…

Statistical Mechanics · Physics 2016-07-05 Robert L. Jack , Ludovic Berthier

Using Brownian dynamics computer simulations we show that a two-dimensional suspension of self-propelled ("active") colloidal particles crystallizes at sufficiently high densities. Compared to the equilibrium freezing of passive particles…

Soft Condensed Matter · Physics 2012-06-12 Julian Bialké , Thomas Speck , Hartmut Löwen

We study the spontaneous crystallization of an assembly of highly monodisperse steel spheres under shaking, as it evolves from localized icosahedral ordering towards a packing reaching crystalline ordering. Towards this end, real space…

Soft Condensed Matter · Physics 2018-12-06 Indu Dhiman , Simon A. J. Kimber , Anita Mehta , Tapan Chatterji

We use a hybrid Monte Carlo algorithm to simulate the shaking of spheres at different vibrational amplitudes, and find that spontaneous crystallisation occurs in specific dynamical regimes. Several crystallising transitions are typically…

Statistical Mechanics · Physics 2015-06-18 D. P. Shinde , Anita Mehta , G. C. Barker

Self-assembly of granular particles is of great interest in both applied and basic research. It is commonly observed that when randomly packed into a container, granular particles form disordered structures like glass. As the particles are…

Soft Condensed Matter · Physics 2025-01-20 Reza Amirifar , Kejun Dong , Aibing Yu

We study a two-dimensional crystal composed of active units governed by self-alignment. This mechanism induces a torque that aligns a particle's orientation with its velocity and leads to a phase transition from a disordered to a flocking…

Soft Condensed Matter · Physics 2025-06-17 Marco Musacchio , Alexander P. Antonov , Hartmut Löwen , Lorenzo Caprini

Herein, fundamentals of topology and symmetry breaking are used to understand crystallization and geometrical frustration in topologically close-packed structures. This frames solidification from a new perspective that is unique from…

Materials Science · Physics 2019-06-13 Carline S. Gorham , David E. Laughlin

The cubic blue phases of liquid crystals are fascinating and technologically promising examples of hierarchically structured soft materials, comprising ordered networks of defect lines (disclinations) within a liquid crystalline matrix. We…

Soft Condensed Matter · Physics 2011-12-16 O. Henrich , K. Stratford , D. Marenduzzo , M. E. Cates

Computer simulations of the fluid-to-solid phase transition in the hard sphere system were instrumental for our understanding of crystallization processes. But while colloid experiments and theory have been predicting the stability of…

Soft Condensed Matter · Physics 2020-05-29 Praveen K. Bommineni , Marco Klement , Michael Engel

We review our recent modeling of crystal nucleation and polycrystalline growth using a phase field theory. First, we consider the applicability of phase field theory for describing crystal nucleation in a model hard sphere fluid. It is…

Soft Condensed Matter · Physics 2007-05-23 L. Granasy , T. Pusztai , T. Borzsonyi

In this article we describe the crystallization conjecture. It states that, in appropriate physical conditions, interacting particles always place themselves into periodic configurations, breaking thereby the natural translation-invariance…

Statistical Mechanics · Physics 2015-10-06 Xavier Blanc , Mathieu Lewin

A simple numerical model which calculates the kinetics of crystallization involving randomly distributed nucleation and isotropic growth is presented. The model can be applied to different thermal histories and no restrictions are imposed…

Materials Science · Physics 2008-11-17 J. Farjas , P. Roura

We report simulations on the homogeneous liquid-fcc nucleation of charged colloids for both low and high contact energy values. As a precursor for crystal formation, we observe increased local order at the position where the crystal will…

Soft Condensed Matter · Physics 2014-11-03 Kai Kratzer , Axel Arnold

In this work, we study the crystalline nuclei growth in glassy systems focusing primarily on the early stages of the process, at which the size of a growing nucleus is still comparable with the critical size. On the basis of molecular…

Disordered Systems and Neural Networks · Physics 2017-04-10 Anatolii V. Mokshin , Bulat N. Galimzyanov

Systems with long-range interactions when quenced into a metastable state near the pseudo-spinodal exhibit nucleation processes that are quite different from the classical nucleation seen near the coexistence curve. In systems with…

Materials Science · Physics 2009-11-07 W. Klein , T. Lookman , A. Saxena , D. Hatch

We review theoretical explanation of mechanisms of control of uniformity in growth of nanosize particles and colloids. The nanoparticles are synthesized as nanocrystals, by burst nucleation from solution. The colloids are self-assembled by…

Statistical Mechanics · Physics 2010-09-22 Vladimir Privman

The formation of stars is a key process in astrophysics. Detailed knowledge of the physical mechanisms that govern stellar birth is a prerequisite for understanding the formation and evolution of our galactic home, the Milky Way. A theory…

Astrophysics of Galaxies · Physics 2012-02-07 Ralf S. Klessen , Mark R. Krumholz , Fabian Heitsch

Most substances can crystallise into two or more different crystal lattices, called polymorphs. Despite this, there are no systems in which we can quantitatively predict the probability of one competing polymorph forming, instead of the…

Soft Condensed Matter · Physics 2017-10-25 Laurie J. Little , Alice A. K. King , Richard P. Sear , Joseph L. Keddie
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