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Using a unified hadron-quark effective model for the QCD equation of state, this paper studies the phase structure of strongly interacting matter in a wide range of temperature and baryonchemical potential. At small potentials the model…

High Energy Physics - Phenomenology · Physics 2013-08-22 Philip Rau , Jan Steinheimer , Stefan Schramm

We investigate the energetic ground states of a model two-phase system with 1/r^3 dipolar interactions in two dimensions. The model exhibits spontaneous formation of two kinds of periodic domain structure. A striped domain structure is…

Condensed Matter · Physics 2009-10-28 Kwok-On Ng , David Vanderbilt

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

A thermodynamically consistent phase-field model is introduced for simulating multicellular deformation, and aggregation under flow conditions. In particular, a Lennard-Jones type potential is proposed under the phase-field framework for…

Numerical Analysis · Mathematics 2022-05-17 Lingyue Shen , Ping Lin , Zhiliang Xu , Shixin Xu

The qualitative aspects of the phase diagram of the Ising model on the cubic lattice, with ferromagnetic nearest-neighbor interactions ($J_{1}$) and antiferromagnetic next-nearest-neighbor couplings ($J_{2}$) are analyzed in the plane…

We investigate the ground state of a one-dimensional lattice system that hosts two different kinds of excitations (species) which interact with a power-law potential. Interactions are only present between excitations of the same kind and…

Statistical Mechanics · Physics 2016-04-20 Emanuele Levi , Jiří Minář , Igor Lesanovsky

We investigate the equilibrium properties of bcc-liquid interfaces modeled with a continuum phase-field crystal (PFC) approach [K. R. Elder and M. Grant, Phys. Rev. E 70, 051605 (2004)]. A multiscale analysis of the PFC model is carried out…

Materials Science · Physics 2009-11-13 Kuo-An Wu , Alain Karma

We present the phase diagram and the fluctuations of different conserved charges like quark number, charge and strangeness at vanishing chemical potential for the 2+1 flavor Polyakov Loop extended Nambu--Jona-Lasinio model with eight-quark…

High Energy Physics - Phenomenology · Physics 2011-07-26 Paramita Deb , Abhijit Bhattacharyya , Sanjay K. Ghosh , Rajarshi Ray , Anirban Lahiri

Phase structure and phase transitions in dense QCD are studied using the Cornwall-Jackiw-Tomboulis (CJT) potential in the improved ladder approximation. The gap function, the condensation energy and the structure of Cooper pairs are…

High Energy Physics - Phenomenology · Physics 2008-11-26 Hiroaki Abuki

We extend the phase field crystal (PFC) framework to quantitative modeling of polycrystalline graphene. PFC modeling is a powerful multiscale method for finding the ground state configurations of large realistic samples that can be further…

The Lennard-Jones (LJ) spline potential is a truncated LJ potential such that both the pair potential and the force continuously approach zero at $r_c \approx 1.74{\sigma}$. We present a systematic map of the thermodynamic properties of the…

We investigate the phase behaviour of a two-dimensional colloidal model system of ultra-soft particles on a substrate which varies periodically along one spatial direction. Our calculations are based on mean-field density functional theory…

Soft Condensed Matter · Physics 2021-03-17 Alexander Kraft , Sabine H. L. Klapp

A chain of singly-charged particles, confined by a harmonic potential, exhibits a sudden transition to a zigzag configuration when the radial potential reaches a critical value, depending on the particle number. This structural change is a…

Statistical Mechanics · Physics 2009-11-13 Shmuel Fishman , Gabriele De Chiara , Tommaso Calarco , Giovanna Morigi

Colloidal systems offer unique opportunities for the study of phase formation and structure since their characteristic length scales are accessible to visible light. As a model system the two dimensional assembly of colloidal magnetic and…

Soft Condensed Matter · Physics 2018-11-12 Hauke Carstensen , Vassilios Kapaklis , Max Wolff

In this paper, our goal is to design ABO3 crystal structure with simple interatomic Lennard-Jones (LJ) potentials and without setting any initial Bravais lattice and it is carried out by molecular dynamics (MD) simulation. In the…

Materials Science · Physics 2018-09-17 Hui Zhang , Zhongwu Liu , Xichun Zhong , Dongling Jiao , Wanqi Qiu

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 lattice distortion parameter (the deviation of the c/a ratio from the ideal value 1.633), orientational order parameter, and crystal-field parameter in hexagonal close-packed (hcp) lattice of p-H2, o-D2 and n-H2 are calculated using the…

Materials Science · Physics 2014-01-24 Yu. A. Freiman , S. M. Tretyak , Alexei Grechnev , Alexander F. Goncharov , Russell J. Hemley

We study a system of particles in two dimensions interacting via a dipolar long-range potential $D/r^3$ and subject to a square-lattice substrate potential $V({\bf r})$ with amplitude $V$ and lattice constant $b$. The isotropic interaction…

Statistical Mechanics · Physics 2016-08-24 Barbara Gränz , Sergey E. Koshunov , Vadim B. Geshkenbein , Gianni Blatter

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…

Condensed Matter · Physics 2009-10-28 G. Goldoni , F. M. Peeters

The equilibrium phase diagram of a 1:1 symmetrical mixture composed of oppositely charged colloids is calculated using Monte Carlo simulations. We model the system by the DLVO effective interaction potential. The phase diagram is similar to…

Soft Condensed Matter · Physics 2007-05-23 José B. Caballero , Antonio M. Puertas