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Related papers: Attraction tames two-dimensional melting: from con…

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We study the liquid--hexatic transition of soft disks with massively parallel simulations and determine the equation of state as a function of system size. For systems with interactions decaying as the inverse $m$th power of the separation,…

Soft Condensed Matter · Physics 2023-08-04 Yoshihiko Nishikawa , Werner Krauth , A. C. Maggs

Molecular Dynamics simulations of a Lennard-Jones system with different range of attraction show that the attractive forces modify the radial distribution of the particles. For condensed liquids only, the forces within the the first…

Soft Condensed Matter · Physics 2015-04-06 S. Toxvaerd

We perform extensive simulations of $10^4$ Lennard-Jones particles to study the effect of particle size dispersity on the thermodynamic stability of two-dimensional solids. We find a novel phase diagram in the dispersity-density parameter…

Materials Science · Physics 2009-10-30 M. Reza Sadr-Lahijany , Purusattam Ray , H. Eugene Stanley

Despite about forty years of investigations, the nature of the melting transition in two dimensions is not completely clear. In the framework of the most popular Berezinskii-Kosterlitz-Thouless-Halperin-Nelson-Young (BKTHNY) theory, 2D…

Soft Condensed Matter · Physics 2017-10-11 E. N. Tsiok , Yu. D. Fomin , V. N. Ryzhov

We study the nature of melting of a two dimensional (2D) Lennard-Jones solid using large scale Monte Carlo simulation. We use systems of up to 102,400 particles to capture the decay of the correlation functions associated with translational…

Statistical Mechanics · Physics 2013-01-01 Keola Wierschem , Efstratios Manousakis

Using molecular dynamics simulations, we have determined that the nature of dynamical heterogeneity in jammed liquids is very sensitive to short-ranged attractions. Weakly attractive systems differ little from dense hard-sphere and…

Soft Condensed Matter · Physics 2007-05-23 David R. Reichman , Eran Rabani , Phillip L. Geissler

The phase diagram of a driven two-dimensional vortex lattice in the presence of dense quasi-point pins is investigated. The transition from the crystal to the liquid is found continuous at intermediate inductions. The correlations in the…

Superconductivity · Physics 2009-11-10 L. Fruchter

Melting of two-dimensional (2D) equilibrium crystals, from superconducting vortex lattices to colloidal structures, is a complex phenomenon characterized by the sequential loss of positional and orientational order. Whereas melting…

Soft Condensed Matter · Physics 2021-10-27 Martin James , Dominik Anton Suchla , Jörn Dunkel , Michael Wilczek

We present an investigation of the 2D attractive Hubbard model, considered as an effective model relevant to superconductivity in strongly interacting electron systems. We use both hybrid Monte Carlo simulations and existing hopping…

Strongly Correlated Electrons · Physics 2008-02-03 R. Lacaze , A. Morel , B. Petersson , J. Schroper

We numerically investigate two-dimensional systems of hard rectangles at constant pressure through extensive hard-particle Monte Carlo simulations. We determine the complete phase diagram as a function of packing fraction and aspect ratio,…

Soft Condensed Matter · Physics 2025-05-15 Denis Dertli , Thomas Speck

We demonstrate that an extended picture of kinetic constraints in glass-forming liquids is sufficient to explain dynamic anomalies observed in dense suspensions of strongly attracting colloidal particles. We augment a simple model of…

Statistical Mechanics · Physics 2009-11-10 Phillip L. Geissler , David R. Reichman

In this Letter, we show that at low temperatures, zero-point fluctuations of the plasmon modes of two mutually coupled 2-D planar Wigner crystals give rise to a novel long-range attractive force. For the case where the distance $d$ between…

Soft Condensed Matter · Physics 2016-08-31 A. W. C. Lau , Dov Levine , P. Pincus

We report Monte Carlo results for the two-dimensional hard disk system in the transition region. Simulations were performed in the NVT ensemble with up to 1024^2 disks. The scaling behaviour of the positional and bond-orientational order…

Statistical Mechanics · Physics 2009-11-10 A. Jaster

We consider self-avoiding lattice polygons, in the hypercubic lattice, as a model of a ring polymer adsorbed at a surface and either being desorbed by the action of a force, or pushed towards the surface. We show that, when there is no…

Statistical Mechanics · Physics 2018-02-14 AJ Guttmann , EJ Janse van Rensburg , I Jensen , SG Whittington

The attractive tail of the intermolecular interaction affects very weakly the structural properties of liquids, while it affects dramatically their dynamical ones. Via the numerical simulations of model systems not prone to crystallization,…

Soft Condensed Matter · Physics 2020-01-15 Joyjit Chattoraj , Massimo Pica Ciamarra

The random disorder can drastically change the melting scenario of two-dimensional systems and has to be taken into account in the interpretation of the experimental results. We present the results of the molecular dynamics simulations of…

Soft Condensed Matter · Physics 2016-08-19 E. N. Tsiok , Yu. D. Fomin , V. N. Ryzhov

We study melting in a two-dimensional system of classical particles with Gaussian-core interactions in disordered environments. The pure system validates the conventional two-step melting with a hexatic phase intervening between the solid…

Soft Condensed Matter · Physics 2023-08-01 Prashanti Jami , Pinaki Chaudhuri , Chandan Dasgupta , Amit Ghosal

The interplay of slow dynamics and thermodynamic features of dense liquids is studied by examinining how the glass transition changes depending on the presence or absence of Lennard-Jones-like attractions. Quite different thermodynamic…

Materials Science · Physics 2009-11-13 Th. Voigtmann

Melting in 2D is described by the celebrated Kosterlitz-Thouless-Halperin-Nelson-Young (KTHNY) theory. The unbinding of two different types of topological defects destroys translational and orientational order at different temperatures. The…

Soft Condensed Matter · Physics 2024-11-12 Robert Löffler , Lukas Siedentop , Peter Keim

We elucidate the interplay between diverse two-dimensional melting pathways and establish solid/hexatic and hexatic/liquid transition criteria via the numerical simulations of the melting transition of two- and three-component mixtures of…

Soft Condensed Matter · Physics 2023-07-05 Yan-Wei Li , Yugui Yao , Massimo Pica Ciamarra