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The main purpose of percolation theory is to model phase transitions in a variety of random systems, which is highly valuable in fields related to materials physics, biology, or otherwise unrelated areas like oil extraction or even quantum…

Statistical Mechanics · Physics 2025-01-28 Daniel García Solla

Crystallization is a fundamental process in materials science, providing the primary route for the realization of a wide range of new materials. Crystallization rates are also considered to be useful probes of glass-forming ability. At the…

The nature of freezing and melting transitions for a system of hard disks in a spatially periodic external potential is studied using extensive Monte Carlo simulations. Detailed finite size scaling analysis of various thermodynamic…

Statistical Mechanics · Physics 2009-10-31 W. Strepp , S. Sengupta , P. Nielaba

The (1+1)-dimensional kinetic model of crystal growth with simulated self-attraction and random sequential or parallel dynamics is introduced and studied via Monte-Carlo simulations. To imitate the attraction of absorbing atoms the…

Statistical Mechanics · Physics 2008-11-27 P. N. Timonin

We study the percolation properties of the growing clusters model. In this model, a number of seeds placed on random locations on a lattice are allowed to grow with a constant velocity to form clusters. When two or more clusters eventually…

Statistical Mechanics · Physics 2015-05-18 Nikolaos Tsakiris , Michail Maragakis , Kosmas Kosmidis , Panos Argyrakis

Unlike atoms, colloidal particles are not identical, but can only be synthesised within a finite size tolerance. Colloids are therefore polydisperse, i.e. mixtures of infinitely many components with sizes drawn from a continuous…

Soft Condensed Matter · Physics 2009-11-07 R. M. L. Evans , C. B. Holmes

The nature of freezing and melting transitions for a system of model colloids interacting by a DLVO potential in a spatially periodic external potential is studied using extensive Monte Carlo simulations. Detailed finite size scaling…

Statistical Mechanics · Physics 2009-11-07 W. Strepp , S. Sengupta , P. Nielaba

Crystallization is a key step in macromolecular structure determination by crystallography. While a robust theoretical treatment of the process is available, due to the complexity of the system, the experimental process is still largely one…

Biomolecules · Quantitative Biology 2016-08-02 Irem Altan , Patrick Charbonneau , Edward H. Snell

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

Known method of fibrous oxides production (first of all, V2O5) by intensive stirring in water is treated in the frame of driven systems approach developed in 80s by Georges Martin et al for systems under irradiation or severe plastic…

Materials Science · Physics 2025-08-20 Serhii Abakumov , Eugen Rabkin , Andriy Gusak

Crystallization processes at the mesoscopic scale, where faceted, dendritic growth, and multigrain formation can be observed, are of particular interest within materials science and metallurgy. These processes are highly nonlinear,…

Machine Learning · Computer Science 2024-05-28 Pol Timmer , Koen Minartz , Vlado Menkovski

Colloidal model systems allow studying crystallization kinetics under fairly ideal conditions with rather well characterized pair interactions and minimized external influences. In complementary approaches therefore experiment, analytic…

Soft Condensed Matter · Physics 2015-06-19 Thomas Palberg

Controlled crystallization, melting and vitrification are important fundamental processes in nature and technology. However, the microscopic details of these fundamental phenomena still lack understanding, in particular how the cooling rate…

Soft Condensed Matter · Physics 2024-07-08 M. P. M. Schelling , T. W. J. Verouden , T. C. M. Stevens , J. -M. Meijer

According to classical nucleation theory, a crystal grows from a small nucleus that already bears the symmetry of its end phase - but experiments with colloids now reveal that, from an amorphous precursor, crystallites with different…

Materials Science · Physics 2014-07-15 László Gránásy , Gyula I. Tóth

Dating from experiments more than 20 years ago, it has been realized that the crystallization of hard colloidal particles in the vicinity of dynamical arrest has several anomalies, that render the conventional nucleation and growth model…

Disordered Systems and Neural Networks · Physics 2011-02-25 Davide Cellai , Andrzej Z. Fima , Aonghus Lawlor , Kenneth A. Dawson

The stress generation on pore walls due to the growth of a sodium chloride crystal in a confined aqueous solution is studied from evaporation experiments in microfluidic channels in conjunction with numerical computations of crystal growth.…

Fluid Dynamics · Physics 2018-06-25 A. Naillon , Pierre Joseph , M. Prat

Monte Carlo methods play important part in modern statistical physics. The application of these methods suffer from two main difficulties.The first is caused by the relatively small number of particles that can participate in any numerical…

Statistical Mechanics · Physics 2007-05-23 A. Brandt , V. Ilyin

A microscopic model of adsorption in cluster forming systems with competing interaction is considered. The adsorption process is described by the master equation and modelled by a kinetic Monte Carlo method. The evolution of the particle…

Soft Condensed Matter · Physics 2021-09-07 E. Bildanau , V. Vikhrenko

The mechanical properties of crystalline materials can be substantially modified under confinement. Such modified macroscopic properties are usually governed by the altered microstructures and internal stress fields. Here, we use a parallel…

Soft Condensed Matter · Physics 2016-10-25 Neil Y. C. Lin , Itai Cohen

The phase diagram of soft spheres with size dispersion has been studied by means of an optimized Monte Carlo algorithm which allows to equilibrate below the kinetic glass transition for all sizes distribution. The system ubiquitously…

Soft Condensed Matter · Physics 2007-05-23 L. A. Fernandez , V. Martin-Mayor , P. Verrocchio