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Related papers: Hard-disk equation of state: First-order liquid-he…

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A first-order phase transition separating the smooth phase from the crumpled one is found in a fixed connectivity surface model defined on a disk. The Hamiltonian contains the Gaussian term and an intrinsic curvature term.

Soft Condensed Matter · Physics 2009-11-11 M. Igawa , H. Koibuchi , M. Yamada

Previous Monte Carlo investigations by Wojciechowski \emph{et al.} have found two unusual phases in two-dimensional systems of anisotropic hard particles: a tetratic phase of four-fold symmetry for hard squares [Comp. Methods in Science and…

Statistical Mechanics · Physics 2009-11-11 A. Donev , J. Burton , F. H. Stillinger , S. Torquato

A two-dimensional system of 10000 hard disks with square periodic boundary conditions, at a density in the middle of the 2-phase region predicted from equation-of-state data, when subjected to a weak external uniform force, is seen to phase…

Statistical Mechanics · Physics 2008-06-09 Leslie V Woodcock

High entropy alloys (HEAs) are a series of novel materials that demonstrate many exceptional mechanical properties. To understand the origin of these attractive properties, it is important to investigate the thermodynamics and elucidate the…

Materials Science · Physics 2020-11-03 Xianglin Liu , Jiaxin Zhang , Junqi Yin , Sirui Bi , Markus Eisenbach , Yang Wang

We report the phase diagram of two-dimensional hard ellipses as obtained from replica exchange Monte Carlo simulations. The replica exchange is implemented by expanding the isobaric ensemble in pressure. The phase diagram shows four…

Soft Condensed Matter · Physics 2015-06-19 Gustavo Bautista-Carbajal , Gerardo Odriozola

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

The order-disorder layering transitions, of the Blume-Capel model, are studied using the Monte Carlo (MC) simulations, in the presence of a variable crystal field. For a very low temperature, the results are in good agreement with the…

Soft Condensed Matter · Physics 2009-11-10 L. Bahmad , A. Benyoussef , H. Ez-Zahraouy

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…

Soft Condensed Matter · Physics 2015-06-04 Samir El Shawish , Emmanuel Trizac , Jure Dobnikar

Tailoring the performance of next-generation high entropy materials requires a deep understanding of the competition between entropy-driven random solid solution and enthalpy-driven chemical ordering. Investigating such order and disorder…

Materials Science · Physics 2026-03-24 Fanli Zhou , Hao Chen , Pengxiang Xu , Kai Yang , Zongrui Pei , Xianglin Liu

We examine the effect of vacancies on the phase behavior and structure of systems consisting of hard cubes using event-driven molecular dynamics and Monte Carlo simulations. We find a first-order phase transition between a fluid and a…

Soft Condensed Matter · Physics 2015-03-13 Frank Smallenburg , Laura Filion , Matthieu Marechal , Marjolein Dijkstra

We perform extensive simulations of $10^4$ Lennard-Jones particles to study the effect of particle size dispersity on the thermodynamic stability of two-dimensional solids. We find a novel phase diagram in the dispersity-density parameter…

Materials Science · Physics 2009-10-30 M. Reza Sadr-Lahijany , Purusattam Ray , H. Eugene Stanley

In addition to signals for the critical point, evidence for a first order phase transition would indicate a nontrivial structure within the QCD phase diagram. Moreover, while not a direct measurement of the critical point, the presence of a…

Nuclear Theory · Physics 2025-11-20 Jamie M. Karthein , Volker Koch , Claudia Ratti

We report an extensive Monte-Carlo study of the melting of the classical two dimensional Wigner crystal for a system of point particles interacting via the $1/r$-Coulomb potential. A hexatic phase is found in systems large enough. With the…

Soft Condensed Matter · Physics 2015-05-20 Martial Mazars

We present a detailed numerical simulation study of a two dimensional system of particles interacting via the Weeks-Chandler-Anderson potential, the repulsive part of the Lennard-Jones potential. With reduction of density, the system shows…

Soft Condensed Matter · Physics 2021-08-31 Shubhendu Shekhar Khali , Dipanjan Chakraborty , Debasish Chaudhuri

We study the thermodynamic and dynamic phase transitions in two-dimensional polydisperse hard disks using Monte Carlo methods. A conventional local Monte Carlo algorithm allows us to observe a dynamic liquid-glass transition at a density,…

Statistical Mechanics · Physics 2007-05-23 Ludger Santen , Werner Krauth

The dynamics of two and five disk systems confined in a square has been studied using molecular dynamics simulations and compared with the predictions of transition state theory. We determine the partition functions Z and Z^\ddagger of…

Disordered Systems and Neural Networks · Physics 2013-12-04 M. Barnett-Jones , P. A. Dickinson , M. J. Godfrey , T. Grundy , M. A. Moore

Recent studies of the phase diagram for spherical, purely repulsive, active particles established the existence of a transition from a liquid-like to a solid-like phase analogous to the one observed in colloidal systems at thermal…

Statistical Mechanics · Physics 2020-04-30 Lorenzo Caprini , Claudio Maggi , Umberto Marini Bettolo Marconi , Matteo Paoluzzi , Andrea Puglisi

A flaw in the comparison between two different theoretical equations of state for a binary mixture of additive hard disks and Monte Carlo results, as recently reported in C. Barrio and J. R. Solana, Phys. Rev. E 63, 011201 (2001), is…

Statistical Mechanics · Physics 2013-05-29 M. López de Haro , S. B. Yuste , A. Santos

Modeling and simulation studies using a high-order Landau-de Gennes type model for the direct isotropic/smectic-A liquid crystal transition are presented showing the existence of meta-stable nematic pre-ordering under certain conditions, in…

Soft Condensed Matter · Physics 2009-06-29 Nasser Mohieddin Abukhdeir , Alejandro D. Rey

We study a two-dimensional fluid of particles interacting through a spherically-symmetric and marginally soft two-body repulsion. This model can exist in three different crystal phases, one of them with square symmetry and the other two…

Soft Condensed Matter · Physics 2012-09-13 Santi Prestipino , Franz Saija , Paolo V. Giaquinta
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