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We develop and analyze a two-mode phase-field-crystal model to describe fcc ordering. The model is formulated by coupling two different sets of crystal density waves corresponding to <111> and <200> reciprocal lattice vectors, which are…

Materials Science · Physics 2010-07-01 Kuo-An Wu , Ari Adland , Alain Karma

We consider a one-dimensional sandpile model which mimics an elastic string of particles driven through a strongly pinning periodic environment with phase disorder. The evolution towards depinning occurs by the triggering of avalanches in…

Statistical Mechanics · Physics 2016-09-30 Melih İşeri , David C. Kaspar , Muhittin Mungan

Identifying the conditions under which glass formation occurs is crucial for a fundamental understanding of the glass transition mechanism. Pure liquids devoid of any frustration avoid glass transition and undergo crystallization. In this…

Soft Condensed Matter · Physics 2026-03-04 Saumya Suvarna , Prabhat K. Jaiswal , Madhu Priya

In this paper, on the basis of the set of simplified model state equations to represent the dynamic features of melt pulling method growth process, we constructed a simulation control system of Matlab Simulink and analyzed control features…

Materials Science · Physics 2014-08-20 Jae Sik Jang , Un Chol Kye , Chol Jun Kang

We report on the crystal growth of the quasi one-dimensional quantum spin chain compound SrCuO$_{2}$ and its doped variants containing magnetic cobalt (0.25%, 0.5%, 1% and 2.5%) and non-magnetic zinc (0.5\% and 1\%) impurities. Crystals are…

Strongly Correlated Electrons · Physics 2015-01-13 Koushik Karmakar , Amartya Singh , Surjeet Singh , Amy Poole , Christian Rüegg

The growth rates and chemical ordering of ferroelectric alloys are studied with kinetic Monte Carlo (KMC) simulations using an electrostatic model with long-range Coulomb interactions, as a function of temperature, chemical composition, and…

Materials Science · Physics 2016-08-31 Malliga Suewattana , Henry Krakauer , Shiwei Zhang

Recent observations of the growth of protein crystals have identified two different growth regimes. At low supersaturation, the surface of the crystal is smooth and increasing in size due to the nucleation of steps at defects and the…

Soft Condensed Matter · Physics 2015-05-14 James F. Lutsko , Vasileios Basios , Gregoire Nicolis , John J. Kozak , Mike Sleutel , Dominique Maes

We study an effective model of microscopic facet formation for low temperature three dimensional microscopic Wulff crystals above the droplet condensation threshold. The model we consider is a 2+1 solid on solid surface coupled with high…

Probability · Mathematics 2017-10-12 Dmitry Ioffe , Senya Shlosman

Phase-Field Crystal (PFC) models are able to resolve atomic length scale features of materials during temporal evolution over diffusive time scales. Traditional PFC models contain solid and liquid phases, however many important materials…

Materials Science · Physics 2015-06-16 Edwin J. Schwalbach , James A. Warren , Kuo-An Wu , Peter W. Voorhees

We review theoretical and simulational approaches to the description of equilibrium bulk crystal and interface properties as well as to the nonequilibrium processes of homogeneous and heterogeneous crystal nucleation for the simple model…

Soft Condensed Matter · Physics 2014-02-03 Francesco Turci , Tanja Schilling , Mohammad Hossein Yamani , Martin Oettel

We generalize the model of transition-metal nanocluster growth in aqueous solution, proposed recently [Phys. Rev. E \textbf{87}, 022132 (2013)]. In order to model time evolution of the system, kinetic equations describing time dependence of…

Chemical Physics · Physics 2013-11-27 Jakub Jȩdrak

We report on the first successful growth of single crystals of the noncentrosymmetric superconductor Mo$_3$Al$_2$C obtained by means of a cubic-anvil, high-pressure and high-temperature technique. Composition, structure, and normal-state…

Superconductivity · Physics 2018-06-27 N. D. Zhigadlo , D. Logvinovich , R. S. Gonnelli , V. A. Stepanov , D. Daghero

Voids can be observed at various scales in ductile materials, frequently of sizes lower than the grain size, leading to porous single crystals materials. Two local deformation modes of porous ductile (single crystals) materials have been…

Materials Science · Physics 2018-12-12 J. Hure

This paper is the first part of an axis symmetric description of a single crystal tube growth process by micro-pulling-down method.the description concerns the following aspects:the free surfaces equations and the pressure difference across…

Applied Physics · Physics 2018-09-05 Agneta M. Balint , Stefan Balint , Loredana Tanasie

The analysis of Coulomb crystallization is extended from one-component to two-component plasmas. Critical parameters for the existence of Coulomb crystals are derived for both classical and quantum crystals. In the latter case, a critical…

Strongly Correlated Electrons · Physics 2007-05-23 M. Bonitz , V. S. Filinov , V. E. Fortov , P. R. Levashov , H. Fehske

The first and maybe the most important step in designing a model-based predictive controller is to develop a model that is as accurate as possible and that is valid under a wide range of operating conditions. The sugar boiling process is a…

Chemical Physics · Physics 2012-12-24 Alfred Jean Philippe Lauret , Harry Boyer , Jean Claude Gatina

Stranski-Krastanov (SK) growth is reported experimentally as the growth mode that is responsible for the transition to three dimensional islands in heteroepitaxial growth. A kinetic Monte Carlo (KMC) model is proposed that can replicate…

Materials Science · Physics 2015-05-27 Arvind Baskaran , Peter Smereka

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…

Statistical Mechanics · Physics 2009-10-28 Barbara Drossel , Mehran Kardar

We describe a comprehensive model for the formation and morphological development of atmospheric ice crystals growing from water vapor, also known as snow crystals. Our model derives in part from empirical measurements of the intrinsic ice…

Materials Science · Physics 2012-11-26 Kenneth G. Libbrecht

Three models from statistical physics can be analyzed by employing space-time determinantal processes: (1) crystal facets, in particular the statistical properties of the facet edge, and equivalently tilings of the plane, (2)…

Statistical Mechanics · Physics 2009-11-11 Herbert Spohn
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