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The nature of freezing and melting transitions for a system of hard disks in a spatially periodic external potential is studied using extensive Monte Carlo simulations. Detailed finite size scaling analysis of various thermodynamic…

统计力学 · 物理学 2009-10-31 W. Strepp , S. Sengupta , P. Nielaba

The nature of freezing and melting transitions for a system of model colloids interacting by a DLVO potential in a spatially periodic external potential is studied using extensive Monte Carlo simulations. Detailed finite size scaling…

统计力学 · 物理学 2009-11-07 W. Strepp , S. Sengupta , P. Nielaba

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…

软凝聚态物质 · 物理学 2009-10-31 Leo Radzihovsky , Erwin Frey , David R. Nelson

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…

统计力学 · 物理学 2025-10-02 Akhilesh M P , Toby Joseph

Melting in two spatial dimensions, as realized in thin films or at interfaces, represents one of the most fascinating phase transitions in nature, but it remains poorly understood. Even for the fundamental hard-disk model, the melting…

软凝聚态物质 · 物理学 2015-03-13 Etienne P. Bernard , Werner Krauth

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…

软凝聚态物质 · 物理学 2020-12-04 Péter Gurin , Szabolcs Varga , Gerardo Odriozola

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…

软凝聚态物质 · 物理学 2009-10-31 Erwin Frey , David R. Nelson , Leo Radzihovsky

We investigate - with Monte Carlo computer simulations - the phase behaviour of dimeric colloidal molecules on periodic substrates with square symmetry. The molecules are formed in a two-dimensional suspension of like charged colloids…

软凝聚态物质 · 物理学 2015-06-04 Samir El Shawish , Emmanuel Trizac , Jure Dobnikar

We present a Monte Carlo simulation study of the phase behavior of two-dimensional classical particles repelling each other through an isotropic Gaussian potential. As in the analogous three-dimensional case, a reentrant-melting transition…

软凝聚态物质 · 物理学 2011-10-26 S. Prestipino , F. Saija , P. V. Giaquinta

The phase behavior of a two-dimensional colloidal system subject to a commensurate triangular potential is investigated. We consider the integer number of colloids in each potential minimum as rigid composite objects with effective discrete…

软凝聚态物质 · 物理学 2007-05-23 A. Sarlah , T. Franosch , E. Frey

We present detailed Monte Carlo results for the two-dimensional melting transition of various systems up to N=65536 hard disks. The simulations are performed in the NVT ensemble, using a new updating scheme. In the isotropic phase the bond…

统计力学 · 物理学 2009-10-31 Andreas Jaster

We report large-scale computer simulations of the hard-disk system at high densities in the region of the melting transition. Our simulations reproduce the equation of state, previously obtained using the event-chain Monte Carlo algorithm,…

A model for two-dimensional colloids confined laterally by "structured boundaries" (i.e., ones that impose a periodicity along the slit) is studied by Monte Carlo simulations. When the distance D between the confining walls is reduced at…

统计力学 · 物理学 2012-03-09 Dorothea Wilms , Nigel B. Wilding , Kurt Binder

We investigate the phase behaviour of a two-dimensional colloidal model system of ultra-soft particles on a substrate which varies periodically along one spatial direction. Our calculations are based on mean-field density functional theory…

软凝聚态物质 · 物理学 2021-03-17 Alexander Kraft , Sabine H. L. Klapp

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…

软凝聚态物质 · 物理学 2017-04-12 Joshua A. Anderson , James Antonaglia , Jaime A. Millan , Michael Engel , Sharon C. Glotzer

Because of long-wavelength fluctuations, the nature of solids and phase transitions in 2D are different from those in 3D systems, and have been heavily debated in past decades, in which the focus was on the existence of hexatic phase. Here,…

软凝聚态物质 · 物理学 2019-05-29 Pablo Sampedro Ruiz , Qun-li Lei , Ran Ni

There are strong evidences that the melting in two dimensions depends crucially on the form and range of the interaction potentials between particles. We study with Monte Carlo simulations the phase diagram and the melting of a monolayer of…

统计力学 · 物理学 2013-01-09 Martial Mazars

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…

统计力学 · 物理学 2009-11-10 A. Jaster

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…

软凝聚态物质 · 物理学 2008-06-24 Shizeng Lin , Bo Zheng , Steffen Trimper

Large-scale Monte Carlo simulations of the bond-diluted three-dimensional 4-state Potts model are performed. The phase diagram and the physical properties at the phase transitions are studied using finite-size scaling techniques. Evidences…

统计力学 · 物理学 2007-05-23 Christophe Chatelain , Bertrand Berche , Wolfhard Janke , Pierre-Emmanuel Berche
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