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Related papers: From Sticky-Hard-Sphere to Lennard-Jones-Type Clus…

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We formulate a straightforward scheme of statistical mechanics for inhomogeneous systems that includes the virial series in powers of the activity for the grand free energy and density distributions. There, cluster integrals formulated for…

Soft Condensed Matter · Physics 2016-05-25 Ignacio Urrutia , Iván Paganini

We investigate the dependence of the stickiness parameters $t_{ij}=1/(12\tau _{ij})$ -- where the $\tau_{ij}$ are the conventional Baxter parameters -- on the solute diameters $\sigma_{i}$ and $\sigma_{j}$ in multicomponent sticky hard…

Soft Condensed Matter · Physics 2009-11-11 Domenico Gazzillo , Achille Giacometti , Riccardo Fantoni , Peter Sollich

Statistical systems composed of atoms interacting with each other trough nonintegrable interaction potentials are considered. Examples of these potentials are hard-core potentials and long-range potentials, for instance, the Lennard-Jones…

Statistical Mechanics · Physics 2016-08-03 V. I. Yukalov

We investigate the extent to which the number of clusters of mass exceeding $10^{15}\,M_{\odot}\,h^{-1}$ within the local super-volume ($<135\mathrm{\,Mpc}h^{-1}$) is compatible with the standard $\Lambda$CDM cosmological model. Depending…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-08 Stephen Stopyra , Hiranya V. Peiris , Andrew Pontzen , Jens Jasche , Priyamvada Natarajan

Unlike Stockmayer fluids, that prove to undergo gas-liquid transition on cooling, the system of dipolar hard or soft spheres without any additional central attraction so far has not been shown to have a critical point. Instead, in the…

Soft Condensed Matter · Physics 2022-10-26 Ekaterina V. Novak , Elena S. Pyanzina , Pedro A. Sánchez , Sofia S. Kantorovich

We investigate by Molecular Dynamics simulation a system of $N$ particles moving on the surface of a two-dimensional sphere and interacting by a Lennard-Jones potential. We detail the way to account for the changes brought by a nonzero…

Statistical Mechanics · Physics 2015-06-18 Julien-Piera Vest , Gilles Tarjus , Pascal Viot

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 establish a sharp criterion for the stability of a class of compactly supported, homogeneous density``minimal compact solitons'' or MCS states, of the time-dependent discrete nonlinear Schr\"odinger equation on a multi-lattice, $\mathbb…

Pattern Formation and Solitons · Physics 2025-11-27 Cheng Shi , Ross Parker , Panayotis G. Kevrekides , Michael I. Weinstein

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

We study hidden scale invariance in the glassy phase of the Kob-Andersen binary Lennard-Jones system. After cooling below the glass transition, we generate a so-called isomorph from the fluctuations of potential energy and virial in the NVT…

Disordered Systems and Neural Networks · Physics 2019-12-04 Yonglun Jiang , Eric R. Weeks , Nicholas P. Bailey

Hard spheres are ubiquitous in condensed matter: they have been used as models for liquids, crystals, colloidal systems, granular systems, and powders. Packings of hard spheres are of even wider interest, as they are related to important…

Disordered Systems and Neural Networks · Physics 2015-03-13 Giorgio Parisi , Francesco Zamponi

The thermodynamic instabilities of a binary mixture of sticky hard spheres (SHS) in the modified Mean Spherical Approximation (mMSA) and the Percus-Yevick (PY) approximation are investigated using an approach devised by X. S. Chen and F.…

Statistical Mechanics · Physics 2007-05-23 Riccardo Fantoni , Domenico Gazzillo , Achille Giacometti

We study self-assembly in a colloidal suspension of magnetic particles by performing comprehensive molecular dynamics simulations of the Stockmayer (SM) model which comprises spherical particles decorated by a magnetic moment. The SM…

Soft Condensed Matter · Physics 2023-12-12 Anuj Kumar Singh , Varsha Banerjee

Non-equilibrium molecular dynamics simulations were performed to study the thermodynamic, structural, and dynamical properties of the single-component Lennard-Jones and the Kob-Andersen binary Lennard-Jones liquids. Both systems are known…

Soft Condensed Matter · Physics 2013-05-14 Leila Separdar , Nicholas P. Bailey , Thomas B. Schrøder , Saeid Davatolhagh , Jeppe C. Dyre

We have studied shear deformation of binary Lennard-Jones glasses to investigate the extent to which the transient part of the stress strain curves is invariant when the thermodynamic state point is varied along an isomorph. Shear…

Soft Condensed Matter · Physics 2025-05-02 Yonglun Jiang , Eric R. Weeks , Nicholas P. Bailey

In the companion paper [T. S. Ingebrigtsen and H. Tanaka, J. Phys. Chem. B 119, 11052 (2015)] the effect of size polydispersity on the nature of Lennard-Jones (LJ) liquids, which represent most molecular liquids without hydrogen bonds, was…

Soft Condensed Matter · Physics 2021-02-16 Trond S. Ingebrigtsen , Hajime Tanaka

The original Thomson problem of "spherical crystallography" seeks the ground state of electron shells interacting via the Coulomb potential; however one can also study crystalline ground states of particles interacting with other…

Soft Condensed Matter · Physics 2009-11-11 Mark J. Bowick , Angelo Cacciuto , David R. Nelson , Alex Travesset

It is well known that elastic effects can cause surface instability. In this paper, we analyze a one-dimensional discrete system which can reveal pattern formation mechanism resembling the "step-bunching" phenomena for epitaxial growth on…

Classical Analysis and ODEs · Mathematics 2021-04-21 Tao Luo , Yang Xiang , Nung Kwan Yip

Thirty years ago we proposed string junction model of hadrons and examined structure and reaction of hadrons including exotic ones. Mass $m$ of exotic hadrons of light quarks is roughly given by $m \sim N_J\cdot m_B$, where $N_J$ is the…

High Energy Physics - Phenomenology · Physics 2009-11-13 Masahiro Imachi , Fumihiko Toyoda , Shoichiro Otsuki

Polydisperse fluids are encountered everywhere in biological and industrial processes. These fluids naturally show a rich phenomenology exhibiting fractionation and shifts in critical point and freezing temperatures. Here, we study the…

Soft Condensed Matter · Physics 2015-09-07 Trond S. Ingebrigtsen , Hajime Tanaka