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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 melting behavior of two-dimensional colloidal crystals stabilized by a core-softened potential featuring two competing interaction length scales. Using molecular dynamics simulations, we analyze three polymorphic solid…

Soft Condensed Matter · Physics 2025-07-21 Thiago Puccinelli , Alexandre V. Ilha , José Rafael Bordin

The stability and melting transition of a single layer and a bilayer crystal consisting of charged particles interacting through a Coulomb or a screened Coulomb potential is studied using the Monte-Carlo technique. A new melting criterion…

Strongly Correlated Electrons · Physics 2016-08-31 I. V. Schweigert , V. A. Schweigert , F. M. Peeters

The "melting" of self-formed rigid structures made of a small number of interacting classical particles confined in an irregular two-dimensional space is investigated using Monte Carlo simulations. It is shown that the interplay of…

Disordered Systems and Neural Networks · Physics 2013-06-13 Dyuti Bhattacharya , Amit Ghosal

The configurational and melting properties of large two-dimensional clusters of charged classical particles interacting with each other via the Coulomb potential are investigated through the Monte Carlo simulation technique. The particles…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Minghui Kong , B. Partoens , F. M. Peeters

We show by computer simulation of a two-dimensional crystal confined by corrugated walls that confinement can be used to impose a controllable mesoscopic superstructure of predominantly mechanical elastic character. Due to an interplay of…

Soft Condensed Matter · Physics 2015-05-14 Yu-Hang Chui , Surajit Sengupta , Kurt Binder

Point defects such as interstitials, vacancies, and impurities in otherwise perfect crystals induce complex displacement fields that are of long-range nature. In the present paper we study numerically the response of a two-dimensional…

Soft Condensed Matter · Physics 2009-11-13 Wolfgang Lechner , Elisabeth Schöll-Paschinger , Christoph Dellago

Crystal defects crucially influence the properties of crystalline materials and have been extensively studied. Even for the simplest type of defect - the point defect - however, basic properties such as their diffusive behavior, and their…

Soft Condensed Matter · Physics 2024-06-05 Max P. M. Schelling , Janne-Mieke Meijer

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 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

Using the Lindemann criterion, we analyzed the quantum and thermal melting of electronic/excitonic crystals recently discovered in two-dimensional (2D) semiconductor moir\'e patterns. We show that the finite 2D screening of the atomically…

Mesoscale and Nanoscale Physics · Physics 2023-10-05 Jiyong Zhou , Jianju Tang , Hongyi Yu

Langevin Dynamics simulations are used to study the effect of shear on a two-dimensional colloidal crystal confined by structured parallel walls. When walls are sheared very slowly, only two or three crystalline layers next to the walls…

Soft Condensed Matter · Physics 2015-06-04 D. Wilms , P. Virnau , S. Sengupta , K. Binder

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…

Statistical Mechanics · Physics 2012-03-09 Dorothea Wilms , Nigel B. Wilding , Kurt Binder

In this paper we use computer simulations to examine point defects in systems of "soft" colloidal particles including Hertzian spheres, and star polymers. We use Monte Carlo simulations to determine the deformation of the different crystals…

Soft Condensed Matter · Physics 2021-04-15 Marjolein de Jager , Joris de Jong , Laura Filion

Confining a colloidal crystal within a long narrow channel produced by two parallel walls can be used to impose a meso-scale superstructure of a predominantly mechanical elastic character [Chui et al., EPL 2008, 83, 58004]. When the crystal…

Soft Condensed Matter · Physics 2009-12-04 Yu-Hang Chui , Surajit Sengupta , Ian K. Snook , Kurt Binder

The theory of elastic interaction of micron size axially symmetric colloidal particles immersed into confined nematic liquid crystal has been proposed. General formulas are obtained for the self energy of one colloidal particle and…

Soft Condensed Matter · Physics 2015-05-14 S. B. Chernyshuk , B. I. Lev

We investigate the structural properties and melting behavior of two-dimensional ion crystals in an RF trap, focusing on the effects of ion temperature and trap potential symmetry. We identify distinct crystal structures that form under…

Atomic Physics · Physics 2025-03-05 Boris V. Pashinsky , Alexander Kato , Boris B. Blinov

Despite their technological relevance, a full microscopic understanding of glasses is still lacking. This applies even more to their surfaces whose properties largely differ from that of the bulk material. Here, we experimentally…

Soft Condensed Matter · Physics 2022-11-23 Li Tian , Clemens Bechinger

When captured by a flat nematic-isotropic interface, colloidal particles can be dragged by it. As a result spatially periodic structures may appear, with the period depending on a particle mass, size, and interface…

Soft Condensed Matter · Physics 2009-11-11 J. L. West , K. Zhang , A. Glushchenko , D. Andrienko , M. Tasinkevych , Y. Reznikov

The lattice gas model for adsorption of alkaline elements on W(112) surface is studied by Monte Carlo simulations. The model includes dipole--dipole interaction as well as long-range indirect interaction. The numerical results show that…

Materials Science · Physics 2009-11-10 Cz. Oleksy
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