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

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Two-dimensional melting transitions for model colloids in presence of a one-dimensional external periodic potential are investigated using Monte Carlo simulation and Finite Size Scaling techniques. Here we explore a hard disk system with…

Statistical Mechanics · Physics 2009-11-13 Florian Bürzle , Peter Nielaba

We present computer simulations of a system of purely repulsive soft colloidal particles interacting via the Hertz potential and constrained to a two-dimensional plane. This potential describes the elastic interaction of weakly deformable…

Soft Condensed Matter · Physics 2018-09-26 Yu. D. Fomin , E. A. Gaiduk , E. N. Tsiok , V. N. Ryzhov

We demonstrate that particles confined to two dimensions (2d) and subjected to a one-dimensional (1d) periodic potential exhibit a rich phase diagram, with both ``locked floating solids'' and smectic phases. The resulting phases and phase…

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

We consider the phase behavior of two-dimensional ($2D$)system of particles with an isotropic core-softened potential introduced in our previous publications. As one can expect from the qualitative consideration for the three dimensional…

Soft Condensed Matter · Physics 2015-06-18 D. E. Dudalov , Yu. D. Fomin , E. N. Tsiok , V. N. Ryzhov

The melting transitions of a colloidal lattice confined to a two-dimensional ($2D$) periodic substrate of square symmetry are studied using Monte Carlo simulations. When the strengths of interparticle and particle-substrate interactions are…

Statistical Mechanics · Physics 2025-10-02 Akhilesh M P , Toby Joseph

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

The Kosterlitz-Thouless and the Hexatic phase transitions are celebrated examples of dipole (vortex, dislocation) induced transitions in condensed matter physics. For very clear reasons, these important ``topological" transitions are…

Statistical Mechanics · Physics 2025-07-16 Itamar Procaccia , Tuhin Samanta

We present evidence from computer simulation that the slowdown of relaxation of a standard Lennard-Jones glass-forming liquid and that of its reduction to a model with truncated pair potentials without attractive tails is quantitatively and…

Statistical Mechanics · Physics 2011-06-07 Ludovic Berthier , Gilles Tarjus

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

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

Melting in two-dimensional systems has remained controversial as theory, simulations, and experiments show contrasting results. One issue that obscures this discussion is whether or not theoretical predictions on strictly 2D systems…

Soft Condensed Matter · Physics 2014-07-11 Weikai Qi , Anjan P. Gantapara , Marjolein Dijkstra

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

Over the past decades, research on two-dimensional melting has established that both first-order and continuous hexatic-liquid transitions can occur, influenced by various factors in the potential energy and system details. The fundamental…

Statistical Mechanics · Physics 2026-01-27 Yan-Wei Li , Rui Ding , Wen-Hao Ma

We present the results of a computer simulation study of the melting scenario of two-dimensional soft-disk systems with potential $U(r)=\varepsilon(\sigma/r)^n$, $n=12$ and $n=1024$, both in the presence of random pinning and without it.…

Soft Condensed Matter · Physics 2019-10-02 E. A. Gaiduk , Yu. D. Fomin , E. N. Tsiok , V. N. Ryzhov

While the large majority of theoretical and numerical studies of the jamming transition consider athermal packings of purely repulsive spheres, real complex fluids and soft solids generically display attraction between particles. By…

Soft Condensed Matter · Physics 2018-11-07 Dion J. Koeze , Brian P. Tighe

We simulate clustering, phase separation and hexatic ordering in a monolayered suspension of active squirming disks subject to an attractive Lennard-Jones-like pairwise interaction potential, taking hydrodynamic interactions between the…

Soft Condensed Matter · Physics 2016-03-31 Ricard Matas Navarro , Suzanne Fielding

In the present paper, using a molecular dynamics simulation, we study a nature of melting of a two-dimensional ($2D$) system of classical particles interacting through a purely repulsive isotropic core-softened potential which is used for…

Soft Condensed Matter · Physics 2015-06-22 D. E. Dudalov , Yu. D. Fomin , E. N. Tsiok , V. N. Ryzhov

Monte Carlo simulations are performed to study the properties of type-II superconducting films in a magnetic field in which the vortices move in the two-dimensional geometry represented by the surface of a sphere. No numerical evidence is…

Condensed Matter · Physics 2009-10-22 H. H. Lee , M. A. Moore

The effects of an externally applied one-dimensional periodic potential on the freezing/melting behaviour of two-dimensional systems of colloidal particles with a short-range attractive interaction are studied using Monte Carlo simulations.…

Soft Condensed Matter · Physics 2010-05-07 Pinaki Chaudhuri , Chinmay Das , Chandan Dasgupta , H. R. Krishnamurthy , A. K. Sood

The hexatic phase predicted by the theories of two-dimensional melting is characterised by the power law decay of the orientational correlations whereas the in-layer bond orientational order in all the hexatic smectic phases observed so far…

Soft Condensed Matter · Physics 2018-05-16 Lorenzo Agosta , Alfredo Metere , Mikhail Dzugutov