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A systematic search for multicomponent crystal structures is carried out for five different ternary systems of nuclei in a polarizable background of electrons, representative of accreted neutron star crusts and some white dwarfs. Candidate…

High Energy Astrophysical Phenomena · Physics 2016-03-09 T. A. Engstrom , N. C. Yoder , V. H. Crespi

In this work, phase diagrams of a modified two-mode phase-field crystal (PFC) that show two-dimensional (2D) and three-dimensional (3D) crystallographic structures were determined by utilizing a free energy minimization method. In this…

Materials Science · Physics 2017-06-06 Arezoo Emdadi , Mohsen Asle Zaeem , Ebrahim Asadi

The phase diagram of the fully frustrated XY model on a honeycomb lattice is shown to incorporate three different ordered phases. In the most unusual of them, a long-range order is related not to the dominance of a particular periodic…

Statistical Mechanics · Physics 2012-06-05 S. E. Korshunov

Nuclear matter at large number of colors is necessarily in a solid phase. In particular holographic nuclear matter takes the form of a crystal of instantons of the flavor group. In this article we initiate the analysis of the…

High Energy Physics - Theory · Physics 2021-07-28 Matti Jarvinen , Vadim Kaplunovsky , Jacob Sonnenschein

Liquid crystals in two dimensions undergo a first-order isotropic-to-quasi-nematic transition, provided the particle interactions are sufficiently ``sharp and narrow''. This implies phase coexistence between isotropic and quasi-nematic…

Statistical Mechanics · Physics 2009-11-13 R. L. C. Vink

Three-dimensional lattices are fundamental to solid-state physics. The description of a lattice with an atomic basis constitutes the necessary information to predict solid phase properties and evolution. Here, we present a new algorithm for…

Materials Science · Physics 2022-08-17 David Mrdjenovich , Kristin Persson

Nucleation is an activated process in which the system has to overcome a free energy barrier in order for a first-order phase transition between the metastable and the stable phases to take place. In the liquid-to-solid transition the…

Soft Condensed Matter · Physics 2016-11-28 John Russo , Hajime Tanaka

Phases of matter are ubiquitous with everyday examples including solids and liquids. In reduced dimensions, particular phases, such as the two-dimensional (2D) hexatic phase and corresponding phase transitions occur. A particularly exciting…

We present results of Monte-Carlo simulations for finite 2D single and bilayer systems. Strong Coulomb correlations lead to arrangement of particles in configurations resembling a crystal lattice. For binary layers, there exists a…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 A. V. Filinov , M. Bonitz , Yu. E. Lozovik

We describe the formation of short-wavelength mesophases in a two-dimensional core-softened particle system. By proposing a series of specific ansatz for each relevant phase, we performed a variational analysis to obtain the ground-state…

Soft Condensed Matter · Physics 2026-03-10 Rômulo Cenci , Lucas Nicolao , Alejandro Mendoza-Coto

This paper develops geographic-style maps containing 2D lattices in all known crystals parameterised by recent complete invariants. Motivated by rigid crystal structures, lattices are considered up to rigid motion and uniform scaling. The…

Computational Geometry · Computer Science 2022-05-24 Matthew Bright , Andrew I Cooper , Vitaliy Kurlin

We examine the statics and dynamics of particles with repulsive Yukawa interactions in the presence of a two-dimensional triangular substrate for fillings of up to twelve particles per potential minimum. We term the ordered states Yukawa…

Soft Condensed Matter · Physics 2015-06-04 C. Reichhardt , C. J. Olson Reichhardt

The growth and microstructural properties of ternary monolayers of two-dimensional hexagonal materials are examined, including both individual two-dimensional crystalline grains and in-plane heterostructures, multijunctions, or…

Materials Science · Physics 2022-07-06 Zhi-Feng Huang

Metallic glasses have so far attracted considerable attention for their applications as bulk materials. However, new physics and applications often emerge by dimensional reduction from three dimension (3D) to two dimension (2D). Here, we…

Materials Science · Physics 2017-09-07 Yuan-Chao Hu , Hajime Tanaka , Wei-Hua Wang

The formation of plasma crystals confined in an external one-dimensional parabolic potential well is simulated for a normal experimental environment employing a computer code called BOXITREE. Under appropriate conditions, crystals were…

Plasma Physics · Physics 2009-11-11 K. Qiao , T. W. Hyde

Two-dimensional colloidal suspensions exposed to periodic external fields exhibit a variety of molecular crystalline phases. There two or more colloids assemble at lattice sites of potential minima to build new structural entities, referred…

Soft Condensed Matter · Physics 2009-11-11 Andreja Sarlah , Erwin Frey , Thomas Franosch

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…

Materials Science · Physics 2013-02-04 Rakesh S. Singh , Mantu Santra , Biman Bagchi

Crystals form regular and robust structures that under extreme conditions can melt and recrystallize into different arrangements in a process that is called crystal metamorphism. While crystals exist due to the breaking of a continuous…

Quantum Physics · Physics 2021-01-04 Victor M. Bastidas , Marta P. Estarellas , Tomo Osada , Kae Nemoto , William J. Munro

The phase-field-crystal model is used to access the structure and thermodynamics of interfaces between two coexisting liquid crystalline phases in two spatial dimensions. Depending on the model parameters there is a variety of possible…

Soft Condensed Matter · Physics 2014-01-28 Simon Praetorius , Axel Voigt , Raphael Wittkowski , Hartmut Löwen

Spatial diffusion of particles in periodic potential models has provided a good framework for studying the role of chaos in global properties of classical systems. Here a bidimensional "soft" billiard, classically modeled from an optical…

Statistical Mechanics · Physics 2022-05-16 Matheus J. Lazarotto , Iberê L. Caldas , Yves Elskens