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We investigate, using high resolution N-body simulations, the density profiles and the morphologies of galaxy clusters in three models of structure formation. We show that these properties are closely related to the occurrence of a…

Astrophysics · Physics 2007-05-23 Y. P. Jing , H. J. Mo , G. Boerner , L. Z. Fang

While lean Mg-Zn-Ca alloys are promising materials for temporary implants, questions remain on the impact of Zn and Ca. In this context, the precipitation in Mg-1.5Zn-0.25Ca (ZX20, in wt.%) was investigated upon linear heating from about…

We investigate ground state configurations of atomic systems in two dimensions interacting via short range pair potentials. As the number of particles tends to infinity, we show that low-energy configurations converge to a macroscopic…

Analysis of PDEs · Mathematics 2009-09-07 Yuen Au Yeung , Gero Friesecke , Bernd Schmidt

In this paper we investigate, using high resolution N-body simulations, the density profiles and the morphologies of galaxy clusters in seven models of structure formation. We show that these properties of clusters are closely related to…

Astrophysics · Physics 2015-06-24 Y. P. Jing , H. J. Mo , G. Boerner , L. Z. Fang

A convergence criterion of cluster expansion is presented in the case of an abstract polymer system with general pair interactions (i.e. not necessarily hard core or repulsive). As a concrete example, the low temperature disordered phase of…

Mathematical Physics · Physics 2009-11-13 Aldo Procacci

A phase field crystal model is used to investigate the mechanisms of formation and growth of early clusters in quenched/aged dilute binary alloys, a phenomenon typically outside the scope of molecular dynamics time scales. We show that…

Materials Science · Physics 2012-10-05 Vahid Fallah , Jonathan Stolle , Nana Ofori-Opoku , Shahrzad Esmaeili , Nikolas Provatas

We consider a model of planar random aggregation from the ALE$(0,\eta)$ family where particles are attached preferentially in areas of low harmonic measure. We find that the model undergoes a phase transition in negative $\eta$, where for…

Probability · Mathematics 2026-05-27 Frankie Higgs

A set-system $S\subseteq \{0,1\}^n$ is cube-ideal if its convex hull can be described by capacity and generalized set covering inequalities. In this paper, we use combinatorics, convex geometry, and polyhedral theory to give exponential…

Combinatorics · Mathematics 2026-04-21 Ahmad Abdi , Gérard Cornuéjols , Daniel Dadush , Mahsa Dalirrooyfard

A detailed simple model is applied to study a metallic cluster. It is assumed that the ions and delocalized electrons are distributed randomly throughout the cluster. The delocalized electrons are assumed to be degenerate. A spherical ball…

Materials Science · Physics 2011-03-01 Yuri Kornyushin

We investigate the metal enrichment of the intracluster medium (ICM) in the framework of hierarchical models of galaxy formation. We calculate the formation and evolution of galaxies and clusters using a semi-analytical model which includes…

A comprehensive statistical analysis of the relationship between the chemical and spatially kinematic parameters of the globular clusters of the Galaxy has been performed. The data of the author's compilation catalog contain astrophysical…

Astrophysics of Galaxies · Physics 2020-02-26 V. A. Marsakov , V. V. Koval' , M. L. Gozha

We develop a model for the metal enrichment of the intracluster medium (ICM) that combines a cosmological non-radiative hydrodynamical N-Body/SPH simulation of a cluster of galaxies, and a semi-analytic model of galaxy formation. The novel…

Astrophysics · Physics 2009-11-11 Sofia A. Cora

A detailed numerical simulation of quasistatic hysteresis loops of dense clusters of interacting magnetic nanoparticles is carried out. Both clusters of magnetically soft and magnetically hard nanoparticles are considered. The clusters are…

Mesoscale and Nanoscale Physics · Physics 2018-01-08 N. A. Usov , O. N. Serebryakova

An expansion of energy characteristics of wide thin slab of thickness L in power of 1/L is constructed using the free-electron approximation and the model of a potential well of finite depth. Accuracy of results in each order of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 V. V. Pogosov , V. P. Kurbatsky , E. V. Vasyutin

We use molecular dynamics simulations to study the melting of gold icosahedral clusters of a few thousand atoms. We pay particular attention to the behavior of surface atoms, and to the equilibrium shape of the cluster. We find that…

Materials Science · Physics 2009-11-10 Yanting Wang , S. Teitel , Christoph Dellago

Ab initio calculations have been performed to clarify the primary behaviors of He atoms in vanadium and to generate the database for the development of the interatomic potential for V-He system within the framework of the"s-band"model.The…

Materials Science · Physics 2016-02-26 Nengwen Hu , Canglong Wang , Huiqiu Deng , Shifang Xiao , Chengbin Wang , Lei Yang , Wangyu Hu

A computational approach to determine the equilibrium structures of nanoclusters in the whole temperature range from 0 K to melting is developed. Our approach relies on Parallel Tempering Molecular Dynamics (PTMD) simulations complemented…

Atomic and Molecular Clusters · Physics 2023-08-16 Manoj Settem , Riccardo Ferrando , Alberto Giacomello

We model the quasicrystal-related structure CaCd$_6$, a bcc packing of icosahedral clusters containing tetrahedra which undergo orientational orderings at T<100 K. We use general schemes to evaluate an effective Hamltonian for…

Materials Science · Physics 2012-12-24 Woosong Choi , Christopher L. Henley , Marek Mihalkovic

In recent experiments on sodium chloride clusters structural transitions between nanocrystals with different cuboidal shapes were detected. Here we determine reaction pathways between the low energy isomers of one of these clusters,…

Condensed Matter · Physics 2007-05-23 Jonathan Doye , David Wales

The cluster decays $^{228}$Th $\rightarrow \, ^{208}$Pb + $^{20}$O, $^{232}$U $\rightarrow \, ^{208}$Pb + $^{24}$Ne, $^{236}$Pu $\rightarrow \, ^{208}$Pb + $^{28}$Mg, $^{242}$Cm $\rightarrow \, ^{208}$Pb + $^{34}$Si are considered in the…

Nuclear Theory · Physics 2013-11-18 V. Yu. Denisov
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