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Related papers: Attraction tames two-dimensional melting: from con…

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A general theory for the melting of two dimensional solids explaining the universal and non-universal properties is an open problem up to date. Although the celebrated KTHNY theory have been able to predict the critical properties of the…

Statistical Mechanics · Physics 2024-03-13 Alejandro Mendoza-Coto , Valéria Mattiello , Rômulo Cenci , Nicolò Defenu , Lucas Nicolao

We investigate a simple model corresponding to particles driven in opposite directions and interacting via a repulsive potential. The particles move off-lattice on a periodic strip and are subject to random forces as well. We show that this…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing , Illes Farkas , Tamas Vicsek

Wigner crystals are extremely fragile, which is shown to result from very strong geometric frustration germane to long-range Coulomb interactions. Physically, this is manifested by a very small characteristic energy scale for shear density…

Strongly Correlated Electrons · Physics 2025-12-10 Mohammed Hammam , Cyprian Lewandowski , Vladimir Dobrosavljevic , Sandeep Joy

Phase transitions impose topological constraints on thermodynamic state variables, masking energetic fluctuations at the phase boundary. This constraint is most apparent in melting systems, where temperature remains pinned despite continued…

Atmospheric and Oceanic Physics · Physics 2026-02-09 Zhiang Xie

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

A phenomenological model is proposed for melting of a vortex lattice, based on screening of the elastic shear modulus by mobile or partially pinned dislocations. A first-order softening line is found and ends at a critical point beyond…

Superconductivity · Physics 2007-05-23 Denis Feinberg

We report a detailed simulation study of the phase behavior of core softened system with attractive well. Different repulsive shoulder widthes and attractive well depthes are considered which allows to monitor the influence of repulsive and…

Soft Condensed Matter · Physics 2015-05-19 Yu. D. Fomin , V. N. Ryzhov , E. N. Tsiok

The dynamics of the 2D Potts ferromagnet when quenched below the transition temperature is investigated in the case of discontinuous phase transition, which is interesting for understandingthe non equilibrium dynamics of systems with many…

Statistical Mechanics · Physics 2013-01-30 Alberto Petri , Miguel Ibanez de Berganza , Vittorio Loreto

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

In an attempt to extend the range of model jamming transitions, we simulate systems of athermal particles which attract when slightly overlapping. Following from recent work on purely repulsive systems, dynamics are neglected and relaxation…

Soft Condensed Matter · Physics 2007-05-23 D. A. Head

Heat conduction phenomena are studied theoretically using computer simulation. The systems are crystal with nonlinear interaction, and fluid of hard-core particles. Quasi-one-dimensional system of the size of $L_x\times L_y\times L_z(L_z\gg…

Statistical Mechanics · Physics 2009-10-31 Takashi Shimada , Teruyoshi Murakami , Satoshi Yukawa , Keiji Saito , Nobuyasu Ito

Layered, hexagonal crystal structures, like zeta and eta phases, play an important role in ultra-high temperature ceramics, often significantly increasing toughness of carbide composites. Despite their importance open questions remain about…

Materials Science · Physics 2025-08-27 Kat Nykiel , Brian Wyatt , Babak Anasori , Alejandro Strachan

We study the melting of skyrmions in a two-dimensional Heisenberg chiral magnet with bi-axial Dzyaloshinskii--Moriya interactions. These topological excitations may form at zero temperature a triangular crystal with long-range positional…

Statistical Mechanics · Physics 2019-04-26 Yoshihiko Nishikawa , Koji Hukushima , Werner Krauth

The hexatic fluid refers to a phase in between a solid and a liquid which has short range positional order but quasi-long range orientational order. In the celebrated theory of Berezinskii, Kosterlitz and Thouless and subsequently refined…

Two-dimensional crystals of classical particles are very peculiar in that melting may occur in two steps, in a continuous fashion, via an intermediate hexatic fluid phase exhibiting quasi-long-range orientational order. On the other hand,…

Soft Condensed Matter · Physics 2014-11-18 Santi Prestipino , Franz Saija

We investigate a binary Lennard-Jones mixture with molecular dynamics simulations. We consider first a system cooled linearly in time with the cooling rate gamma. By varying gamma over almost four decades we study the influence of the…

Statistical Mechanics · Physics 2015-06-25 K. Vollmayr-Lee , W. Kob , K. Binder , A. Zippelius

We examine the depinning transitions and the temperature versus driving force phase diagram for magnetically interacting pancake vortices in layered superconductors. For strong disorder the initial depinning is plastic followed by a sharp…

Superconductivity · Physics 2009-10-31 C. J. Olson , C. Reichhardt , V. M. Vinokur

We contrast the transport properties (dc resistivity, Seebeck coefficient), optical conductivity, spectral functions, dynamical magnetic susceptibility, and the NMR $1/T_1$ spin-lattice relaxation rate of the repulsive and attractive…

Strongly Correlated Electrons · Physics 2017-10-02 Rok Zitko , Ziga Osolin , Peter Jeglic

We study the superconducting Kosterlitz-Thouless transition of the attractive Hubbard model on a two-dimensional triangular lattice using auxiliary field quantum Monte Carlo method for system sizes up to $12\times 12$ sites. Combining three…

Strongly Correlated Electrons · Physics 2009-11-11 Tsuguhito Nakano , Kazuhiko Kuroki

It is established that liquid metals exhibit surface layering at the liquid-vapor interface, while dielectric simple systems, like those interacting through Lennard-Jones potentials, show a monotonic decay from the liquid density to that of…

Disordered Systems and Neural Networks · Physics 2009-11-11 Luis E. Gonzalez , David J. Gonzalez
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