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Related papers: Dispersity-Driven Melting Transition in Two Dimens…

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We explore the link between the melting scenarios of two-dimensional systems of hard disks and squares through replica-exchange Monte Carlo simulations of hard superdisks. The well-known melting scenarios are observed in the disk and square…

Soft Condensed Matter · Physics 2020-12-04 Péter Gurin , Szabolcs Varga , Gerardo Odriozola

A general theory for the melting of two dimensional solids explaining the universal and non-universal properties is an open problem up to date. Although the celebrated KTHNY theory have been able to predict the critical properties of the…

Statistical Mechanics · Physics 2024-03-13 Alejandro Mendoza-Coto , Valéria Mattiello , Rômulo Cenci , Nicolò Defenu , Lucas Nicolao

We find through computer simulations that the fractional volume change on freezing of polydisperse Lennard-Jones liquid decreases with increasing polydispersity and approaches zero near a terminal polydispersity of 0.11, independent of…

Soft Condensed Matter · Physics 2011-09-27 Sarmistha Sarkar , Mantu Santra , Biman Bagchi

We investigate the characteristics of two dimensional melting in simple atomic systems via isobaric-isothermal ($NPT$) and isochoric-isothermal ($NVT$) molecular dynamics simulations with special focus on the effect of the range of the…

Statistical Mechanics · Physics 2010-09-29 Sang Il Lee , Sung Jong Lee

It is shown that the one- and two-dimensional solids may exist and melt

Condensed Matter · Physics 2007-05-23 M. Apostol

We conduct molecular dynamics computer simulations of a system of Lennard-Jones particles, polydisperse in both size and mass, at a fixed density and temperature. We test for and quantify systematic changes in dynamical properties that…

Statistical Mechanics · Physics 2009-11-07 N. Kiriushcheva , Peter H. Poole

Wigner crystals are extremely fragile, which is shown to result from very strong geometric frustration germane to long-range Coulomb interactions. Physically, this is manifested by a very small characteristic energy scale for shear density…

Strongly Correlated Electrons · Physics 2025-12-10 Mohammed Hammam , Cyprian Lewandowski , Vladimir Dobrosavljevic , Sandeep Joy

When a suspension freezes, a compacted particle layer builds up at the solidification front with noticeable implications on the freezing process. In a directional solidification experiment of monodispersed suspensions in thin samples, we…

Soft Condensed Matter · Physics 2019-05-08 Brice Saint-Michel , Marc Georgelin , Sylvain Deville , Alain Pocheau

The phase diagram of two-dimensional continuous particle systems is studied using Event-Chain Monte Carlo. For soft disks with repulsive power-law interactions $\propto r^{-n}$ with $n \gtrsim 6$, the recently established hard-disk melting…

Statistical Mechanics · Physics 2015-03-13 Sebastian C. Kapfer , Werner Krauth

In experiments the two-dimensional systems are realized mainly on solid substrates which introduce quenched disorder due to some inherent defects. The defects of substrates influence the melting scenario of the systems and have to be taken…

Soft Condensed Matter · Physics 2015-12-21 E. N. Tsiok , D. E. Dudalov , Yu. D. Fomin , V. N. Ryzhov

Specialized Monte Carlo simulation techniques and moment free energy method calculations, capable of treating fractionation exactly, are deployed to study the crystalline phase behaviour of an assembly of spherical particles described by a…

Statistical Mechanics · Physics 2011-03-25 Peter Sollich , Nigel B. Wilding

We investigate two-dimensional (2d) melting in the presence of a one-dimensional (1d) periodic potential as, for example, realized in recent experiments on 2d colloids subjected to two interfering laser beams. The topology of the phase…

Soft Condensed Matter · Physics 2009-10-31 Leo Radzihovsky , Erwin Frey , David R. Nelson

We study the interplay between an isostructural critical point and dislocation mediated two-dimensional melting, using a combination of Landau and continuum elasticity theory. If dislocations are excluded, coupling to the elastic degrees of…

Condensed Matter · Physics 2009-10-28 T. Chou , D. R. Nelson

We present a computer simulation study of a (6,12)-Lennard-Jones fluid confined to a slit pore, formed by two uniform planes. These interact via (3,9)-Lennard-Jones potential with the fluid particles. When the fluid approaches the…

Soft Condensed Matter · Physics 2009-02-20 N. Gribova , H. Maleki , A. Arnold , C. Holm , T. Schilling

Liquid crystals are phases of matter intermediate between crystals and liquids. Whereas classical liquid crystals have been known for a long time and are used in electro-optical displays, much less is known about their quantum counterparts.…

Quantum Gases · Physics 2016-01-12 Zhigang Wu , Jens K. Block , Georg M. Bruun

Two-dimensional polar liquid crystals have been discovered recently in monolayers of anisotropic molecules. Here, we provide a systematic theoretical description of liquid-crystalline phases for polar particles in two spatial dimensions.…

Soft Condensed Matter · Physics 2014-01-28 Raphael Wittkowski , Hartmut Löwen , Helmut R. Brand

We perform molecular dynamics and Monte Carlo simulations of two-dimensional melting with dipole-dipole interactions. Both static and dynamic behaviors are examined. In the isotropic liquid phase, the bond orientational correlation length 6…

Soft Condensed Matter · Physics 2008-06-24 Shizeng Lin , Bo Zheng , Steffen Trimper

The pressure and the viscosity in two-dimensional sheared granular assemblies are investigated numerically. The behavior of both pressure and viscosity is smoothly changing qualitatively when starting from a mono-disperse hard-disk system…

Statistical Mechanics · Physics 2010-07-20 Michio Otsuki , Hisao Hayakawa , Stefan Luding

We perform Langevin dynamics simulations and use polygon construction method to investigate two-dimensional (2D) melting and freezing transitions in many-particle Yukawa systems. 2D melting transitions can be characterized as proliferation…

Plasma Physics · Physics 2015-06-05 Arūnas Radzvilavičius

We present a study of the melting dynamics of a two-phase eutectic solid. In situ, thin-sample experiments using a transparent eutectic alloy and two-dimensional phase field simulations calibrated for the very same alloy are combined to…