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We have studied, using molecular dynamics simulations, the pressure-induced melting in a monolayer of soft repulsive spherocylinders whose centers of mass are constrained to move on the surface of a sphere. We show that the orientational…

软凝聚态物质 · 物理学 2025-03-13 Jaydeep Mandal , Chandan Dasgupta , Prabal K. Maiti

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

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 report an experimental investigation of the transition from a hexagonally ordered solid phase to a disordered liquid in a monolayer of vibrated spheres. The transition occurs as the intensity of the vibration amplitude is increased.…

软凝聚态物质 · 物理学 2009-11-11 J. S. Olafsen , J. S. Urbach

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

We find that both continuous and discontinuous hexatic-liquid transitions can happen in the melting of two-dimensional solids of soft-core disks. For three typical model systems, Hertzian, harmonic, and Gaussian-core models, we observe the…

软凝聚态物质 · 物理学 2016-08-19 Mengjie Zu , Jun Liu , Hua Tong , Ning Xu

We present a molecular dynamics simulation study of the phase diagram and melting scenarios of two-dimensional Hertzian spheres with exponent 7/2. We have found multiple re-entrant melting of a single crystal with a triangular lattice in a…

软凝聚态物质 · 物理学 2019-11-15 E. N. Tsiok , E. A. Gaidukm Yu. D. Fomin , V. N. Ryzhov

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

The phase diagram of the prototypical two-dimensional Lennard-Jones system, while extensively investigated, is still debated. In particular, there are controversial results in the literature as concern the existence of the hexatic phase and…

统计力学 · 物理学 2020-12-08 Yan-Wei Li , Massimo Pica Ciamarra

Recent studies of melting in hard disks have confirmed the existence of a hexatic phase occurring in a narrow window of density which is separated from the isotropic liquid phase by a first-order transition, and from the solid phase by a…

统计力学 · 物理学 2017-09-20 John Russo , Nigel B. Wilding

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…

材料科学 · 物理学 2014-06-23 Aranka Derzsi , Kovács Anikó Zsuzsa , Zoltán Donkó , Peter Hartmann

We provide a quantitative analysis of all kinds of topological defects present in 2D passive and active repulsive disk systems. We show that the passage from the solid to the hexatic is driven by the unbinding of dislocations. Instead,…

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…

软凝聚态物质 · 物理学 2015-06-18 D. E. Dudalov , Yu. D. Fomin , E. N. Tsiok , V. N. Ryzhov

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…

材料科学 · 物理学 2013-02-04 Rakesh S. Singh , Mantu Santra , Biman Bagchi

We study the influence of quenched disorder on the two-dimensional melting behavior by using both video-microscopy of superparamagnetic colloidal particles and computer simulations of repulsive parallel dipoles. Quenched disorder is…

软凝聚态物质 · 物理学 2015-06-16 Sven Deutschländer , Tobias Kruppa , Hartmut Löwen , Georg Maret , Peter Keim

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…

软凝聚态物质 · 物理学 2018-09-26 Yu. D. Fomin , E. A. Gaiduk , 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…

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

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…

软凝聚态物质 · 物理学 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…

软凝聚态物质 · 物理学 2023-07-05 Yan-Wei Li , Yugui Yao , Massimo Pica Ciamarra

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
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