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The melting transition of two-dimensional (2D) systems is a fundamental problem in condensed matter and statistical physics that has advanced significantly through the application of computational resources and algorithms. 2D systems…

Soft Condensed Matter · Physics 2017-04-12 Joshua A. Anderson , James Antonaglia , Jaime A. Millan , Michael Engel , Sharon C. Glotzer

Simulations are reported to investigate solid superheating and liquid supercooling of two-dimensional (2D) systems with a Yukawa interparticle potential. Motivated by experiments where a dusty plasma is heated and then cooled suddenly, we…

Plasma Physics · Physics 2011-04-20 Yan Feng , Bin Liu , J. Goree

Our previous molecular dynamic simulation studies of simple two-dimensional (2D) systems \cite{matt_big} suggested that both geometrical defects (localized, large-amplitude deviations from hexagonal ordering) and topological defects…

Statistical Mechanics · Physics 2007-05-23 Yves Lansac , Matthew A. Glaser , Noel A. Clark

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

The thermodynamic and structural properties of two dimensional dense Yukawa liquids are studied with molecular dynamics simulations. The "exact" thermodynamic properties are simultaneously employed in an advanced scheme for the…

Soft Condensed Matter · Physics 2021-06-15 F. Lucco Castello , P. Tolias

Thermodynamics of two-dimensional Yukawa (screened Coulomb or Debye-H\"uckel) systems is studied systematically using molecular dynamics (MD) simulations. Simulations cover very broad parameter range spanning from weakly coupled gaseous…

Plasma Physics · Physics 2017-04-05 Nikita Kryuchkov , Sergey Khrapak , Stanislav Yurchenko

In contrast to three-dimensional (3D) crystals that melt via a first-order transition, two-dimensional (2D) crystals can exhibit various melting scenarios under different temperatures, pressures, and particle interactions, particularly when…

Materials Science · Physics 2024-10-16 Peng Hua , Yilong Han

We have performed Brownian dynamics simulations on melting of two-dimensional colloidal crystal in which particles interact with Yukawa potential. The pair correlation function and bond-orientational correlation function was calculated in…

Soft Condensed Matter · Physics 2008-09-03 Wei-Kai Qi , Shao-Meng Qin , Xiao-Ying Zhao , Yong Chen

The emergence and vanishing of superdiffusion in quasi-two-dimensional Yukawa systems are investigated by molecular dynamics simulations. Using both the asymptotic behaviour of the mean-squared displacement of the particles and the…

Plasma Physics · Physics 2009-11-13 T. Ott , Z. Donko , P. Hartmann , M. Bonitz

We study 2D solids with weak substrate disorder, using Coulomb gas renormalisation. The melting transition is found to be replaced by a sharp crossover between a high $T$ liquid with thermally induced dislocations, and a low $T$ glassy…

Disordered Systems and Neural Networks · Physics 2009-10-30 David Carpentier , Pierre Le Doussal

Anomalous diffusion in liquids and the solid-liquid phase transition (melting) are studied in two-dimensional Yukawa systems. The self-intermediate scattering function (self-ISF), calculated from simulation data, exhibits a temporal decay,…

Plasma Physics · Physics 2011-04-20 Yan Feng , J. Goree , Bin Liu

For two-dimensional many-particle systems first-order, second-order, single step continuous, as well as two-step continuous (KTHNY-like) melting transitions have been found in previous studies. Recent computer simulations, using particle…

Materials Science · Physics 2014-06-23 Aranka Derzsi , Kovács Anikó Zsuzsa , Zoltán Donkó , Peter Hartmann

Phase behaviors of two-dimensional (2D) systems constitute a fundamental topic in condensed matter and statistical physics. Although hard polygons and interactive point-like particles are well studied, the phase behaviors of more realistic…

Soft Condensed Matter · Physics 2024-08-06 Ruijian Zhu , Yanting Wang

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

Topological defects such as dislocations and disclinations are predicted to determine the twodimensional (2-D) melting transition. In 2-D superconducting vortex lattices, macroscopic measurements evidence melting close to the transition to…

Melting and freezing transitions in two dimensional systems are known to show highly unusual characteristics. Most of the earlier studies considered atomic systems; the melting behavior in two dimensional molecular solids is still largely…

Materials Science · Physics 2013-02-04 Rakesh S. Singh , Mantu Santra , Biman Bagchi

Molecular dynamics simulations of two-dimensional soft Yukawa fluids are performed to analyze the effect that the range of interaction has on coexisting densities and line tension. The attractive one-component fluid and equimolar mixtures…

Soft Condensed Matter · Physics 2012-07-16 G. A. Méndez-Maldonado , M. González-Melchor , J. Alejandre

We set up a harmonic lattice model for 2D defect melting which, in contrast to earlier simple-cubic models, lives on a triangular lattice. Integer-valued plastic defect gauge fields allow for the thermal generation of dislocations and…

Soft Condensed Matter · Physics 2011-10-05 J. Dietel , H. Kleinert

We report the observation of the transition from an ordered solid-like phase to a disordered liquid-like phase of a lattice of spikes on a ferrofluid surface submitted to horizontal sinusoidal vibrations. The melting transition occurs for a…

Soft Condensed Matter · Physics 2010-01-05 François Boyer , Eric Falcon

Thermodynamics of weakly screened (near the one-component-plasma limit) Yukawa fluids in two and three dimensions is analyzed in detail. It is shown that the thermal component of the excess internal energy of these fluids, when expressed in…

Plasma Physics · Physics 2015-12-17 Sergey A. Khrapak , Igor L. Semenov , Lenaic Couedel , Hubertus M. Thomas
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