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We present a comparative computer simulation study of the phase diagrams and anomalous behavior of two-dimensional ($2D$) and quasi-two-dimensional ($q2D$) classical particles interacting with each other through isotropic core-softened…

Soft Condensed Matter · Physics 2019-06-14 Yu. D. Fomin , E. N. Tsiok , V. N. Ryzhov

We consider the phase behavior of two-dimensional ($2D$)system of particles with an isotropic core-softened potential introduced in our previous publications. As one can expect from the qualitative consideration for the three dimensional…

Soft Condensed Matter · Physics 2015-06-18 D. E. Dudalov , Yu. D. Fomin , E. N. Tsiok , V. N. Ryzhov

The random disorder can drastically change the melting scenario of two-dimensional systems and has to be taken into account in the interpretation of the experimental results. We present the results of the molecular dynamics simulations of…

Soft Condensed Matter · Physics 2016-08-19 E. N. Tsiok , Yu. D. Fomin , V. N. Ryzhov

We present computer simulations of a system of purely repulsive soft colloidal particles interacting via the Hertz potential and constrained to a two-dimensional plane. This potential describes the elastic interaction of weakly deformable…

Soft Condensed Matter · Physics 2018-09-26 Yu. D. Fomin , E. A. Gaiduk , E. N. Tsiok , V. N. Ryzhov

In experiments the two-dimensional systems are realized mainly on solid substrates which introduce quenched disorder due to some inherent defects. The defects of substrates influence the melting scenario of the systems and have to be taken…

Soft Condensed Matter · Physics 2015-12-21 E. N. Tsiok , D. E. Dudalov , Yu. D. Fomin , V. N. Ryzhov

We present a Monte Carlo simulation study of the phase behavior of two-dimensional classical particles repelling each other through an isotropic Gaussian potential. As in the analogous three-dimensional case, a reentrant-melting transition…

Soft Condensed Matter · Physics 2011-10-26 S. Prestipino , F. Saija , P. V. Giaquinta

In the framework of the density functional theory of freezing proposed in our previous works, we calculate the phase diagram of two-dimensional system of particles interacting through the repulsive shoulder potential. This potential…

Statistical Mechanics · Physics 2015-06-23 E. S. Chumakov , Yu. D. Fomin , E. L. Shangina , E. E. Tareyeva , E. N. Tsiok , V. N. Ryzhov

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

We use molecular dynamics simulations in two dimensions to investigate the possibility that a core-softened potential can reproduce static and dynamic anomalies found experimentally in liquid water: (i) the increase in specific volume upon…

Soft Condensed Matter · Physics 2009-10-31 A. Scala , M. Reza Sadr-Lahijany , N. Giovambattista , S. V. Buldyrev , H. E. Stanley

The melting transition of two-dimensional (2D) systems is a fundamental problem in condensed matter and statistical physics that has advanced significantly through the application of computational resources and algorithms. 2D systems…

Soft Condensed Matter · Physics 2017-04-12 Joshua A. Anderson , James Antonaglia , Jaime A. Millan , Michael Engel , Sharon C. Glotzer

Despite about forty years of investigations, the nature of the melting transition in two dimensions is not completely clear. In the framework of the most popular Berezinskii-Kosterlitz-Thouless-Halperin-Nelson-Young (BKTHNY) theory, 2D…

Soft Condensed Matter · Physics 2017-10-11 E. N. Tsiok , Yu. D. Fomin , V. N. Ryzhov

We report extensive simulation studies of phase behaviour in single component systems of particles interacting via a core-softened interparticle potential. Two recently proposed examples of such potentials are considered; one in which the…

Statistical Mechanics · Physics 2009-11-07 Nigel B. Wilding , James E. Magee

The size and shape of a large variety of polymeric particles, including biological cells, star polymers, dendrimes, and microgels, depend on the applied stresses as the particles are extremely soft. In high-density suspensions these…

Statistical Mechanics · Physics 2018-04-11 Yan-Wei Li , Massimo Pica Ciamarra

We investigate the phase behaviour of a system of particles interacting through the exp-6 pair potential, a model interaction that is appropriate to describe effective interatomic forces under high compression. The soft-repulsive component…

Soft Condensed Matter · Physics 2010-09-28 Franz Saija , Gianpietro Malescio , Santi Prestipino

A molecular dynamics study of a two dimensional system of particles interacting through a Lennard-Jones pairwise potential is performed at fixed temperature and vanishing external pressure. As the temperature is increased, a solid-to-liquid…

Statistical Mechanics · Physics 2015-05-27 Daniel Asenjo , Fernando Lund , Simón Poblete , Rodrigo Soto , Marcos Sotomayor

By molecular dynamic simulations we study a system of particles interacting through a continuous isotropic pairwise core-softened potential consisting of a repulsive shoulder and an attractive well. The model displays a phase diagram with…

Soft Condensed Matter · Physics 2015-05-18 Pol Vilaseca , Giancarlo Franzese

We carry out computer simulations of a simple, two-dimensional off-lattice model that exhibits inverse melting. The monodisperse system comprises core-softened disks interacting through a repulsive square shoulder located inside an…

Materials Science · Physics 2015-06-18 Ahmad M. Almudallal , Sergey V. Buldyrev , Ivan Saika-Voivod

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

We find that both continuous and discontinuous hexatic-liquid transitions can happen in the melting of two-dimensional solids of soft-core disks. For three typical model systems, Hertzian, harmonic, and Gaussian-core models, we observe the…

Soft Condensed Matter · Physics 2016-08-19 Mengjie Zu , Jun Liu , Hua Tong , Ning Xu

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
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