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We study the nature of melting of a two dimensional (2D) Lennard-Jones solid using large scale Monte Carlo simulation. We use systems of up to 102,400 particles to capture the decay of the correlation functions associated with translational…

统计力学 · 物理学 2013-01-01 Keola Wierschem , Efstratios Manousakis

Wigner crystallization of electrons in a 2D quantum dots is reported. It proceeds in two stages: I) via radial ordering of electrons on shells and II) freezing of the inter-shell rotation. The phase boundary of the crystal is computed in…

介观与纳米尺度物理 · 物理学 2009-10-31 A. V. Filinov , M. Bonitz , Yu. E. Lozovik

The melting transition of the five different lattices of a bilayer crystal is studied using the Monte-Carlo technique. We found the surprising result that the square lattice has a substantial larger melting temperature as compared to the…

计算物理 · 物理学 2009-10-31 I. V. Schweigert , V. A. Schweigert , F. M. Peeters

A self-consistent theory of bulk electrolytes incorporating electrostatic and hard-core interactions on an equal level is applied to the two-dimensional Coulomb liquid with finite ion size. The ionic pair distributions, the structure…

软凝聚态物质 · 物理学 2026-04-10 Sahin Buyukdagli

Two-dimensional Rydberg atoms are modeled at low temperatures by means of the classical Monte Carlo method. The Coulomb repulsion of charged ions competing with the repulsive van der Waals long-range tail is modeled by a number of…

量子气体 · 物理学 2019-12-24 Yu. E. Lozovik , I. L. Kurbakov , G. E. Astrakharchik

The zero-temperature phase diagram of binary mixtures of particles interacting via a screened Coulomb pair potential is calculated as a function of composition and charge ratio. The potential energy obtained by a Lekner summation is…

软凝聚态物质 · 物理学 2009-11-13 Lahcen Assoud , Rene Messina , Hartmut Loewen

We investigate the stability, the dynamical properties and melting of a two-dimensional (2D) Wigner crystal (WC) of classical Coulombic particles in a bi-layer structure. Compared to the single-layer WC, this system shows a rich phase…

凝聚态物理 · 物理学 2009-10-28 G. Goldoni , F. M. Peeters

We have performed Monte Carlo simulations to investigate the temperature dependence of the ordering of the side chains of the X-shape liquid crystal molecules which are arranged in a hexagonal array. Each hexagon contains six side chains,…

统计力学 · 物理学 2017-06-28 Stuart George , Christopher Bentham , Xiangbing Zeng , Goran Ungar , Gillian A Gehring

Melting of two-dimensional (2D) equilibrium crystals, from superconducting vortex lattices to colloidal structures, is a complex phenomenon characterized by the sequential loss of positional and orientational order. Whereas melting…

软凝聚态物质 · 物理学 2021-10-27 Martin James , Dominik Anton Suchla , Jörn Dunkel , Michael Wilczek

Grand canonical Monte Carlo simulation results are reported for an electric double layer modelled by a planar charged hard wall, anisotropic shape cations, and spherical anions at different electrolyte concentrations and asymmetric…

软凝聚态物质 · 物理学 2016-03-09 M. Kaja , S. Lamperski , W. Silvestre-Alcantara , L. B. Bhuiyan , D. Henderson

We show how to generalize the Lattice Switch Monte Carlo method to calculate the phase diagram of a binary system. A global coordinate transformation is combined with a modification of particle diameters, enabling the multi-component system…

统计力学 · 物理学 2009-11-13 A. N. Jackson , G. J. Ackland

We carry out Monte Carlo simulations to investigate the effect of molecular shape on liquid-crystal order. In our approach, each model mesogen consists of several soft spheres bonded rigidly together. The arrangement of the spheres may be…

软凝聚态物质 · 物理学 2009-11-07 J. Xu , R. L. B. Selinger , J. V. Selinger , R. Shashidhar

The melting of a binary system of charged particles confined in a {\it quasi}-one-dimensional parabolic channel is studied through Monte Carlo simulations. At zero temperature the particles are ordered in parallel chains. The melting is…

软凝聚态物质 · 物理学 2015-05-19 W. P. Ferreira , G. A. Farias , F. M. Peeters

A coarsened model for a binary system with limited miscibility of components is proposed; the system is described in terms of structural states in small parts of the material. The material is assumed to have two alternative types of…

统计力学 · 物理学 2007-05-23 Leonid D. Son , German M. Rusakov , Alexander Z. Patashinski , Mark A. Ratner

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…

软凝聚态物质 · 物理学 2011-10-05 J. Dietel , H. Kleinert

The results of extensive Monte Carlo simulations of classical spins on the two-dimensional kagome lattice with only dipolar interactions are presented. In addition to revealing the six-fold degenerate ground state, the nature of the…

材料科学 · 物理学 2015-05-01 M. S. Holden , M. L. Plumer , I. Saika-Voivod , B. W. Southern

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

Investigating thermodynamic properties of liquid-solid transitions of flexible homopolymers with elastic bonds by means of multicanonical Monte Carlo simulations, we find crystalline conformations that resemble ground-state structures of…

软凝聚态物质 · 物理学 2010-02-11 Stefan Schnabel , Thomas Vogel , Michael Bachmann , Wolfhard Janke

We compute the magnetic susceptibilities of interacting electrons in the presence of disorder on a two-dimensional square lattice by means of quantum Monte Carlo simulations. Clear evidence is found that at sufficiently low temperatures…

强关联电子 · 物理学 2015-05-30 Prabuddha B. Chakraborty , Krzysztof Byczuk , Dieter Vollhardt

We calculate mean square deviations for crystals in one and two dimensions. For the two dimensional lattices, we consider several distinct geometries (i.e. square, triangular, and honeycomb), and we find the same essential phenomena for…

材料科学 · 物理学 2010-04-27 D. J. Priour