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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 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

Although the existence of 13-atom icosahedral clusters in one-component close-packed undercooled liquids was predicted more than half a century ago by Frank, the existence of such icosahedral clusters is less clear in liquid alloys. We…

Materials Science · Physics 2009-11-13 M. Iwamatsu , S. K. Lai

A theory of structure is formulated for systems of many structureless classical particles with stable local interactions in Euclidean space. Such systems are shown to have their structure in thermodynamic equilibrium determined exactly by a…

Statistical Mechanics · Physics 2026-02-12 John Çamkıran , Fabian Parsch , Glenn D. Hibbard

Isomorphs are lines in the density-temperature plane of certain "strongly-correlating" or "Roskilde simple" liquids where two-point structure and dynamics have been shown to be close to identical up to a scale transformation. Here we…

Soft Condensed Matter · Physics 2013-12-25 Alex Malins , Jens Eggers , C. Patrick Royall

Molecular dynamics simulations of nanometer-sized lead clusters have been performed using the Lim, Ong and Ercolessi glue potential (Surf. Sci. {\bf 269/270}, 1109 (1992)). The binding energies of clusters forming crystalline (fcc),…

Condensed Matter · Physics 2009-10-31 S. C. Hendy , B. D. Hall

We present a density functional study of Lennard-Jones liquids in contact with a nano-corrugated wall. The corresponding substrate potential is taken to exhibit a repulsive hard core and a van der Waals attraction. The corrugation is…

Statistical Mechanics · Physics 2014-11-24 Swarn Lata Singh , Lothar Schimmele , S. Dietrich

The homogeneous and heterogeneous nucleation of a Lennard-Jones liquid is investigated using the umbrella sampling method. The free energy cost of forming a nucleating droplet is determined as a function of the quench depth, and the saddle…

Statistical Mechanics · Physics 2007-10-26 Hui Wang , Harvey Gould , W. Klein

The traditional view that the physical properties of a simple liquid are determined primarily by its repulsive forces was recently challenged by Berthier and Tarjus, who showed that in some cases ignoring the attractions leads to large…

Soft Condensed Matter · Physics 2013-01-29 Søren Toxvaerd , Jeppe C. Dyre

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 locate putative global minima for (C_60)_N clusters modelled by the potential of Pacheco and Prates-Ramalho up to N=105. These minima are based on icosahedral packing up to N=15, but above this size the lowest-energy structures are…

Condensed Matter · Physics 2007-05-23 Jonathan P. K. Doye , David J. Wales , Wolfgang Branz , Florent Calvo

The 38-atom Lennard-Jones cluster has a paradigmatic double-funnel energy landscape. One funnel ends in the global minimum, a face-centred-cubic (fcc) truncated octahedron. At the bottom of the other funnel is the second lowest energy…

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

A new atomic cluster structure corresponding to the global minimum of the 98-atom Lennard-Jones cluster has been found using a variant of the basin-hopping global optimization algorithm. The new structure has an unusual tetrahedral symmetry…

Condensed Matter · Physics 2007-05-23 Robert Leary , Jonathan Doye

We examine the favoured cluster structures for two new potentials, which both behave as monatomic model glass-formers in bulk. We find that the oscillations in the interatomic potential lead to global minima that are non-compact…

Condensed Matter · Physics 2007-05-23 Jonathan P. K. Doye , David J. Wales , Fredrik H. M. Zetterling , Mikhail Dzugutov

We have located the global minimum for all lead clusters with up to 160 atoms using a glue potential to model the interatomic interactions. The lowest-energy structures are not face-centred cubic as suggested previously. Rather, for N<40…

Condensed Matter · Physics 2007-05-23 Jonathan P. K. Doye , Shaun C. Hendy

The phase behavior of fluids near weakly attractive substrates is studied by computer simulations of the coexistence curve of a Lennard-Jones (LJ) fluid confined in a slitlike pore. The temperature dependence of the density profiles of the…

Statistical Mechanics · Physics 2009-11-10 I. Brovchenko , A. Geiger , A. Oleinikova

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 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

Within the framework of density functional theory, the inclusion of exact exchange and non-local van der Waals/dispersion (vdW) interactions is crucial for predicting a microscopic structure of ambient liquid water that quantitatively…

Soft Condensed Matter · Physics 2015-10-12 Biswajit Santra , Robert A. DiStasio , Fausto Martelli , Roberto Car

We derive a general closed expression for the local pressure exerted onto the corrugated walls of a channel confining a fluid medium. When the fluid medium is at equilibrium the local pressure is a functional of the shape of the walls. It…

Soft Condensed Matter · Physics 2018-02-07 Paolo Malgaretti , Markus Bier