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Clusters of galaxies allow a direct estimate of the metallicity and metal production yield on the largest scale so far. The ratio of the total iron mass in the ICM to the total optical luminosity of the cluster (the iron…

Astrophysics · Physics 2007-05-23 Alvio Renzini

We present an efficient method to find minimum energy structures using energy estimates from accurate quantum Monte Carlo calculations. This method involves a stochastic process formed from the stochastic energy estimates from Monte Carlo…

Computational Physics · Physics 2015-05-18 Lucas K. Wagner , Jeffrey C. Grossman

We present a new theoretical framework for modelling the cluster growing process. Starting from the initial tetrahedral cluster configuration, adding new atoms to the system and absorbing its energy at each step, we find cluster growing…

Atomic and Molecular Clusters · Physics 2007-05-23 A. Koshelev , A. Shutovich , Il. A. Solov'yov , A. V. Solov'yov , W. Greiner

We investigate the magnetic properties of small transition metal clusters using a simple statistical model, which requires some input data from ab initio spin-density functional calculations. In our study we consider a thermodynamically…

Condensed Matter · Physics 2007-05-23 Peter Borrmann , Bernd Diekmann , Eberhard R. Hilf , David Tomanek

A numerical monoid is an additive submonoid of the non-negative integers. Given a numerical monoid $S$, consider the family of "shifted" monoids $M_n$ obtained by adding $n$ to each generator of $S$. In this paper, we examine minimal…

Commutative Algebra · Mathematics 2018-08-15 Rebecca Conaway , Felix Gotti , Jesse Horton , Christopher O'Neill , Roberto Pelayo , Mesa Williams , Brian Wissman

Recently, Locatelli and Schoen proposed a transformation of the potential energy that aids the global optimization of Lennard-Jones clusters with non-icosahedral global minima. These cases are particularly difficult to optimize because the…

Condensed Matter · Physics 2007-05-23 Jonathan Doye

We study neutron matter at and near the unitary limit using a low-momentum ring diagram approach. By slightly tuning the meson-exchange CD-Bonn potential, neutron-neutron potentials with various $^1S_0$ scattering lengths such as…

Nuclear Theory · Physics 2008-11-26 L. -W. Siu , T. T. S. Kuo , R. Machleidt

The extension of the first-principles generalized pseudopotential theory (GPT) to transition-metal (TM) aluminides produces pair and many-body interactions that allow efficient calculations of total energies. In aluminum-rich systems…

We determine the groups of minimal order in which all groups of order n can embedded for 1 < n < 16. We further determine the order of a minimal group in which all groups or order n or less can be embedded, also for 1 < n < 16.

Group Theory · Mathematics 2017-06-29 Robert Heffernan , Des MacHale , Brendan McCann

By the Wolff's cluster Monte Carlo simulations and numerical minimization within a mean field approach, we study the low temperature phase diagram of water, adopting a cell model that reproduces the known properties of water in its fluid…

Soft Condensed Matter · Physics 2009-11-13 Marco G. Mazza , Kevin Stokely , Elena Strekalova , H. Eugene Stanley , Giancarlo Franzese

Using the embedded-atom method, the structure of small copper clusters on Au(111) electrodes has been investigated both by static and dynamic calculations. By varying the size of roughly circular clusters, the edge energy per atom is…

Materials Science · Physics 2007-05-23 M. G. Del Popolo , E. P. M. Leiva , W. Schmickler

Sampling minimum energy grain boundary (GB) structures in the five-dimensional crystallographic phase space can provide much-needed insight into how GB crystallography affects various interfacial properties. However, the complexity and…

Materials Science · Physics 2018-09-10 Arash Dehghan Banadaki , Mark A. Tschopp , Srikanth Patala

The lowest energy configurations of close-packed clusters up to N=110 atoms with stacking faults are studied using the Monte Carlo method with Metropolis algorithm. Two types of contact interactions, a pair-potential and a many-atom…

Atomic and Molecular Clusters · Physics 2009-11-10 K. Manninen , J. Akola , M. Manninen

In the current work we revisit the pair-potential recently proposed by Wang et al. (Phys. Chem. Chem. Phys. 10624, 22, 2020) as a well defined finite-range alternative to the widely used Lennard-Jones interaction model. The advantage of…

Materials Science · Physics 2024-07-23 Omar-Farouk Adesida , Sebastian Havens , Livia B. Partay

Pseudopotential locality errors have hampered the applications of the diffusion Monte Carlo (DMC) method in materials containing transition metals, in particular oxides. We have developed locality error free effective core potentials,…

An effective indexing scheme for clusters that enables fast structure comparison and congruence check is desperately desirable in the field of mathematics, artificial intelligence, materials science, etc. Here we introduce the concept of…

Materials Science · Physics 2016-07-15 Longguang Liao , Yu-Jun Zhao , Zexian Cao , Xiaobao Yang

We study the homogeneous nucleation process in Stillinger-Weber silicon in the NVT ensemble. A clear first-order transition from the liquid to crystal phase is observed thermodynamically with kinetic and structural evidence of the…

Materials Science · Physics 2009-11-10 Philippe Beaucage , Normand Mousseau

In this paper, we study nanoparticles with constituent atoms ranging from dozens to hundreds of them. These types of particles display structural and magnetic properties that strongly depend on the number of constituents N. The metal…

Mesoscale and Nanoscale Physics · Physics 2010-02-09 Karina L. D. Barturen H. , F. A. R. Navarro , Justo T Rojas

Gold clusters Aun of size n = 2 to 12 atoms were studied by the density-functional theory with an ab-initio pseudopotential and a generalized gradient approximation. Geometry optimizations starting from a number of initial candidate…

Other Condensed Matter · Physics 2007-05-23 Prashant K. Jain

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