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Using molecular dynamics simulations, with a realistic many-body embedded-atom potential, and a novel method to characterize local order, we study the structure of pure nickel during the rapid quench of the liquid and in the resulting…

Disordered Systems and Neural Networks · Physics 2016-08-15 Oscar Rodríguez de la Fuente , José M. Soler

Quasi-stable ideals appear as leading ideals in the theory of Pommaret bases. We show that quasi-stable leading ideals share many of the properties of the generic initial ideal. In contrast to genericity, quasi-stability is a characteristic…

Symbolic Computation · Computer Science 2012-05-31 Amir Hashemi , Michael Schweinfurter , Werner M. Seiler

This letter presents a study on the stability of the 12-fold symmetry soft-matter quasicrystals from the angle of thermodynamics combining dynamics of the matter. The results are quantitative, which depend upon only the material constants…

Soft Condensed Matter · Physics 2019-09-04 Tian-You Fan , Zhi-Yi Tang

Using molecular dynamics simulation, we study structural and dynamical heterogeneities at melting in two-dimensional one-component systems with 36000 particles. Between crystal and liquid we find intermediate hexatic states, where the…

Statistical Mechanics · Physics 2010-04-07 Hayato Shiba , Akira Onuki , Takeaki Araki

A combination of classical density-functional theory and thermodynamic perturbation theory is applied to a survey of finite-temperature trends in the relative stabilities of one-component crystals and quasicrystals interacting via effective…

Materials Science · Physics 2009-10-30 A. R. Denton , J. Hafner

We interpret experimentally known B-Mg-Ru crystals as quasicrystal approximants. These approximant structures imply a deterministic decoration of tiles by atoms that can be extended quasiperiodically. Experimentally observed structural…

Materials Science · Physics 2009-11-10 M. Mihalkovič , M. Widom

This paper describes the isothermal die swell using our recent quasi-1D model for fast (high Deborah number) contraction flows of polymers melts. Because the model analyzes the flow in several flow regions as one continuous process, it…

Fluid Dynamics · Physics 2007-05-23 Jae-Hyeuk Jeong , Arkady I. Leonov

We investigate the structural properties of a two-dimensional system of ellipsoidal particles carrying a linear quadrupole moment in their center. These particles represent a simple model for a variety of uncharged, non-polar conjugated…

Soft Condensed Matter · Physics 2016-03-11 Thomas Heinemann , Moritz Antlanger , Martial Mazars , Sabine H. L. Klapp , Gerhard Kahl

Quasicrystals are intriguing ordered structures characterized by the lack of translational symmetry and the existence of rotational symmetry. The tiling of different geometric units such as triangles and squares in two-dimensional space can…

Soft Condensed Matter · Physics 2024-10-11 Xin Wang , An-Chang Shi , Pingwen Zhang , Kai Jiang

The crystal structure of boron is unique among chemical elements, highly complex, and imperfectly known. Experimentalists report the beta-rhombohedral (black) form is stable over all temperatures from absolute zero to melting. However,…

Materials Science · Physics 2009-11-13 M. Widom , M. Mihalkovic

Understanding the mechanisms which relate properties of liquid and solid phases is crucial for fabricating new advanced solid materials, such as glasses, quasicrystals and high-entropy alloys. Here we address this issue for…

Applied Physics · Physics 2019-08-13 L. V. Kamaeva , R. E. Ryltsev , V. I. Lad'yanov , N. M. Chtchelkatchev

The assumption of a spatially uniform helium distribution in the intracluster medium can lead to biases in the estimates of key cluster parameters if composition gradients are present. The helium concentration profile in galaxy clusters is…

High Energy Astrophysical Phenomena · Physics 2020-06-04 Thomas Berlok , Martin E. Pessah

We investigate equilibrium microstructures exhibited by diblock copolymers in confined 3D geometries. We perform Self-Consistent Field Theory (SCFT) simulations using a finite-element based computational framework (Ackerman et al. 2017),…

Soft Condensed Matter · Physics 2019-10-22 Ananth Tenneti , David M Ackerman , Baskar Ganapathysubramanian

The detailed atomic structure of quasicrystals has been an open question for decades. Here, we present a quasilattice-conserved optimization method (quasiOPT), with particular quasiperiodic boundary conditions. As the atomic coordinates…

Materials Science · Physics 2015-06-23 Xiao-Tian Li , Xiao-Bao Yang , Yu-Jun Zhao

The description of almost periodic or quasiperiodic structures has a long tradition in mathematical physics, in particular since the discovery of quasicrystals in the early 80's. Frequently, the modelling of such structures leads to…

Dynamical Systems · Mathematics 2011-07-27 José Aliste-Prieto , Tobias Jäger

We report on quantitative comparisons between simulation results of a bead-spring model and mode-coupling theory calculations for the structural and conformational dynamics of a supercooled, unentangled polymer melt. We find…

Soft Condensed Matter · Physics 2009-11-13 Song-Ho Chong , Martin Aichele , Hendrik Meyer , Matthias Fuchs , Jörg Baschnagel

The melting of elemental solids is modelled as a dislocation-mediated transition on a lattice. Statistical mechanics of linear defects is used to obtain a new relation between melting temperature, crystal structure, atomic volume, and shear…

Condensed Matter · Physics 2009-10-31 Leonid Burakovsky , Dean L. Preston

We investigate the characteristics of two dimensional melting in simple atomic systems via isobaric-isothermal ($NPT$) and isochoric-isothermal ($NVT$) molecular dynamics simulations with special focus on the effect of the range of the…

Statistical Mechanics · Physics 2010-09-29 Sang Il Lee , Sung Jong Lee

A general linear stability analysis of simple metal nanowires is presented using a continuum approach which correctly accounts for material-specific surface properties and electronic quantum-size effects. The competition between surface…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. F. Urban , J. Bürki , C. A. Stafford , Hermann Grabert

Pressure-induced transitions from ordered intermetallic phases to substitutional alloys to semi-ordered phases were studied in a series of bismuth tellurides. Using angle-dispersive x-ray diffraction, the compounds Bi4Te5, BiTe, and Bi2Te…

Materials Science · Physics 2016-06-28 I. Loa , J. -W. G. Bos , R. A. Downie , K. Syassen