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We examine in detail the causes of the structural transitions that occur for those small Lennard-Jones clusters that have a non-icosahedral global minima. Based on the principles learned from these examples we develop a method to construct…

Condensed Matter · Physics 2007-05-23 Jonathan P. K. Doye , Florent Calvo

We introduce a global optimization approach for binary clusters that for a given cluster size is able to directly search for the structure and composition that has the greatest stability. We apply this approach to binary Lennard-Jones…

Other Condensed Matter · Physics 2007-05-23 Jonathan P. K. Doye , Lars Meyer

A relation $\mathcal{M}_{\mathrm{SHS}\to\mathrm{LJ}}$ between the set of non-isomorphic sticky hard sphere clusters $\mathcal{M}_\mathrm{SHS}$ and the sets of local energy minima $\mathcal{M}_{LJ}$ of the $(m,n)$-Lennard-Jones potential…

Atomic and Molecular Clusters · Physics 2018-05-02 Lukas Trombach , Robert S. Hoy , David J. Wales , Peter Schwerdtfeger

Using a global optimization approach that directly searches for the composition of greatest stability, we have been able to find the particularly stable structures for binary Lennard-Jones clusters with up to 100 atoms for a range of…

Materials Science · Physics 2007-05-23 Jonathan P. K. Doye , Lars Meyer

We analyze the structure diagram for binary clusters of Lennard-Jones particles by means of a global optimization approach for a large range of cluster sizes, compositions and interaction energies and present a publicly accessible database…

Soft Condensed Matter · Physics 2017-10-03 Marko Mravlak , Thomas Kister , Tobias Kraus , Tanja Schilling

Vibrational spectra of closed shell Lennard-Jones icosahedral and cuboctahedral clusters are calculated for shell numbers between 2 and 9. Evolution of the vibrational density of states with the cluster shell number is examined and…

Statistical Mechanics · Physics 2009-11-10 Antonio Siber

The dynamical stability of three-dimensional (3D) Lennard-Jones (LJ) crystals has been studied for many years. The face-centered-cubic and hexagonal close packed structures are dynamically stable, while the body-centered cubic structure is…

Mesoscale and Nanoscale Physics · Physics 2021-02-10 Shota Ono , Tasuku Ito

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 investigate the influence of morphology and size on the vibrational properties of disordered clusters of colloidal particles with attractive interactions. From measurements of displacement correlations between particles in each cluster,…

Soft Condensed Matter · Physics 2015-05-27 Peter J. Yunker , Ke Chen , Zexin Zhang , Arjun G. Yodh

Molecular dynamics calculations of the vibrational behavior of atoms in a Lennard-Jones 147-atom cluster revealed that the relaxation and the stability of the collective vibration of atoms in the cluster depend on the extent of the…

Mesoscale and Nanoscale Physics · Physics 2008-01-08 Chang Q. Sun

We consider a correlated site percolation problem on a cubic lattice of size $L^3$, with $16\le L\le 512$. The sites of an initially full lattice are removed by a random walk of ${\cal N}=uL^3$ steps. When the parameter $u$ crosses a…

Statistical Mechanics · Physics 2026-01-21 Raz Halifa Levi , Yacov Kantor

We systematically investigate the structural, electronic and magnetic properties of Mn$_n$ clusters ($n =$ 2$-$20) within the {\it ab-initio} pseudopotential plane wave method using generalized gradient approximation for the…

Atomic and Molecular Clusters · Physics 2008-06-12 Mukul Kabir , Abhijit Mookerjee , D. G. Kanhere

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 present a new theoretical framework for modelling the fusion process of Lennard-Jones (LJ) clusters. Starting from the initial tetrahedral cluster configuration, adding new atoms to the system and absorbing its energy at each step, we…

Atomic and Molecular Clusters · Physics 2009-09-29 Ilia A. Solovyov , Andrey V. Solovyov , Walter Greiner

We present a Molecular Dynamics study of large Lennard-Jones clusters evolving on a crystalline surface. The static and the dynamic properties of the cluster are described. We find that large clusters can diffuse rapidly, as experimentally…

Materials Science · Physics 2009-10-30 Pierre Deltour , Jean-Louis Barrat , Pablo Jensen

Process of relaxation of Lennard-Jones cluster with an intrinsic pore was investigated by molecular dynamics method for different phase states of an initial cluster. Strong dependence of pore relaxation character on the initial cluster…

Mesoscale and Nanoscale Physics · Physics 2020-01-31 M. A. Ratner , V. V. Yanovsky

The mass spectra of gas-phase clusters in cluster beams have a rich structure where the relative heights of the peaks compared to peaks corresponding to clusters of neighbor sizes reveal the stability of the clusters as a function of the…

Chemical Physics · Physics 2019-04-26 Jose I. Martinez , Julio A. Alonso

When a cluster or nanodroplet bears charge, its structure and thermodynamics are altered and, if the charge exceeds a certain limit, the system becomes unstable with respect to fragmentation. Some of the key results in this area were…

The approach of the elastic continuum limit in small amorphous bodies formed by weakly polydisperse Lennard-Jones beads is investigated in a systematic finite-size study. We show that classical continuum elasticity breaks down when the…

Statistical Mechanics · Physics 2009-11-07 A. Tanguy , J. P. Wittmer , F. Leonforte , J. -L. Barrat

To learn about basic aspects of nano-scale spherical molecular shells during their formation, spherically curved two-dimensional N-particle Lennard-Jones systems are simulated, studying curvature evolution paths at zero-temperature. For…

Atomic and Molecular Clusters · Physics 2009-11-11 J. M. Voogd , P. M. A. Sloot , R. van Dantzig
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