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Understanding the structural evolution of granular systems is a long-standing problem. A recently proposed theory for such dynamics in two dimensions predicts that steady states of very dense systems satisfy detailed-balance. We analyse…

Soft Condensed Matter · Physics 2023-08-16 Alex D. C. Myhill , Raphael Blumenfeld

Single impurity effect on the melting process of magic number Lennard-Jones, rare gas, clusters of up to 309 atoms is studied on the basis of Parallel Tempering Monte Carlo simulations in the canonical ensemble. A decrease on the melting…

Atomic and Molecular Clusters · Physics 2015-05-19 Nicolás Quesada , Gloria E. Moyano

We study numerically stabilized solutions of the two-dimensional Schrodinger equation with a cubic nonlinearity. We discuss in detail the numerical scheme used and explain why choosing the right numerical strategy is very important to avoid…

Pattern Formation and Solitons · Physics 2007-05-23 Gaspar D. Montesinos , Victor M. Perez-Garcia

The formation, growth, structure and cluster size distribution (CSD) properties in a two-dimensional system of particles interacting with Lennard-Jones (LJ) potential under controlled cooling condition have been studied using Monte-Carlo…

Soft Condensed Matter · Physics 2018-01-18 Barnana Pal

The four most stable structures of Ni$_N$ clusters with $N$ from 2 to 150 have been determined using a combination of the embedded-atom method in the version of Daw, Baskes and Foiles, the {\it variable metric/quasi-Newton} method, and our…

Atomic and Molecular Clusters · Physics 2016-09-08 V. G. Grigoryan , M. Springborg

We derive a formulation of molecular dynamics that generates only symmetric configurations. We implement it for all 2D planar and 3D space groups. An atlas of 2D Lennard-Jones crystals under all planar groups is created with symmetric…

Statistical Mechanics · Physics 2022-06-22 Sam Cox , Andrew D. White

Multi-component aggregates are being intensively researched in various fields because of their highly tunable properties and wide applications. Due to the complex configurational space of these systems, research would greatly benefit from a…

Atomic and Molecular Clusters · Physics 2025-02-26 Nicolò Canestrari , Diana Nelli , Riccardo Ferrando

We show through rigorous calculations that dielectric microspheres can be organized by an incident electromagnetic plane wave into stable cluster configurations, which we call photonic molecules. The long-range optical binding force arises…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Jack Ng , Zhifang Lin , C. T. Chan , Ping Sheng

In this paper, we investigate periodic vibrations of a group of particles with a dihedral configuration in the plane governed by the Lennard-Jones and Coulomb forces. Using the gradient equivariant degree, we provide a full topological…

Dynamical Systems · Mathematics 2017-02-15 Irina Berezovik , Qingwen Hu , Wieslaw Krawcewicz

This study investigates the structural stability of ionized gold clusters of sizes ranging from 22 to 100 atoms, contrasting compact, cage and planar structures. While it is well known that neutral clusters in the upper part of this size…

Materials Science · Physics 2026-02-18 Mohammad Ismaeil Safa , Ehsan Rahmatizad Khajehpasha , Stefan Goedecker

We adopt a global optimization method to predict two-dimensional (2D) nanostructures through the particle-swarm optimization (PSO) algorithm. By performing PSO simulations, we predict new stable structures of 2D boron-carbon (B-C) compounds…

Materials Science · Physics 2011-12-30 Xinyu Luo , Jihui Yang , Hanyu Liu , Xiaojun Wu , Yanchao Wang , Yanming Ma , Su-Huai Wei , Xingao Gong , Hongjun Xiang

We measure stability of two-dimensional granular mixtures in a rotating drum and relate grain configurations to stability. For our system, the smaller but smoother grains cluster near the center of the drum, while the larger, rougher grains…

Soft Condensed Matter · Physics 2007-06-07 A. G. Swartz , J. B. Kalmbach , J. Olson , R. J. Zieve

Scalar bosonic stars (BSs) stand out as a multi-purpose model of exotic compact objects. We enlarge the landscape of such (asymptotically flat, stationary, everywhere regular) objects by considering multiple fields (possibly) with different…

General Relativity and Quantum Cosmology · Physics 2021-06-23 Nicolas Sanchis-Gual , Fabrizio Di Giovanni , Carlos Herdeiro , Eugen Radu , José A. Font

The theoretical formalism of the local density approximation (LDA) to density functional theory (DFT) has been used to study the electronic and geometric structures of SimCn (1<=m, n<=4;n<=m) clusters. An all electron 6-311++G** basis set…

Atomic and Molecular Clusters · Physics 2007-05-23 Prachi Pradhan , Asok K. Ray

In this paper we address the global stability problem for double-bubbles in the plane. This is accomplished by combining the "improved convergence theorem" for planar clusters developed in arXiv:1409.6652 with an ad hoc analysis of the…

Analysis of PDEs · Mathematics 2015-04-23 Marco Cicalese , Gian Paolo Leonardi , Francesco Maggi

We reveal the existence of systematic variations of isobaric fragility in different supercooled Lennard-Jones binary mixtures by performing molecular dynamics simulations. The connection between fragility and local structures in the bulk is…

Statistical Mechanics · Physics 2007-10-02 D. Coslovich , G. Pastore

We study stability and bifurcations in holomorphic families of polynomial automorphisms of C^2. We say that such a family is weakly stable over some parameter domain if periodic orbits do not bifurcate there. We first show that this defines…

Dynamical Systems · Mathematics 2014-04-21 Romain Dujardin , Mikhail Lyubich

Magic-size clusters are ultra-small colloidal semiconductor systems that are intensively studied due to their monodisperse nature and sharp UV-vis absorption peak compared with regular quantum dots. However, the small size of such clusters…

Materials Science · Physics 2020-07-23 Ying Liu , Lei Tan , Giannantonio Cibin , Diego Gianolio , Shuo Han , Kui Yu , Martin T. Dove , Andrei V. Sapelkin

We present numerical and experimental results for the development of islands of stability in atom-optics billiards with soft walls. As the walls are soften, stable regions appear near singular periodic trajectories in converging (focusing)…

Chaotic Dynamics · Physics 2007-05-23 Ariel Kaplan , Nir Friedman , Mikkel Andersen , Nir Davidson

We study the orbital stability of a non-zero mass, close-in circular orbit planet around an eccentric orbit binary for various initial values of the binary eccentricity, binary mass fraction, planet mass, planet semi--major axis, and planet…

Earth and Planetary Astrophysics · Physics 2020-04-29 Cheng Chen , Stephen H. Lubow , Rebecca G. Martin