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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

We present a novel hybrid computational method to simulate accurately dendritic solidification in the low undercooling limit where the dendrite tip radius is one or more orders of magnitude smaller than the characteristic spatial scale of…

Materials Science · Physics 2009-10-31 Mathis Plapp , Alain Karma

Fluid mixing usually involves the interplay between advection and diffusion, which together cause any initial distribution of passive scalar to homogenize and ultimately reach a uniform state. However, this scenario only holds when the…

Fluid Dynamics · Physics 2021-09-14 Jean-Luc Thiffeault

In 2002 Biskup et al. [Europhys. Lett. 60, 21 (2002)] sketched a rigorous proof for the behavior of the 2D Ising lattice gas, at a finite volume and a fixed excess \delta M of particles (spins) above the ambient gas density (spontaneous…

Statistical Mechanics · Physics 2009-07-20 Andreas Nußbaumer , Elmar Bittner , Wolfhard Janke

A previously developed fundamental measure fucntional [J. Chem. Phys. vol.107, 6379 (1997)] is used to study the phase behavior of a system of parallel hard cubes. The single-component fluid exhibits a continuous transition to a solid with…

Soft Condensed Matter · Physics 2009-10-31 Y. Martinez-Raton , J. A. Cuesta

Clusters in the three-dimensional Ising model rigorously obey reducibility and thermal scaling up to the critical temperature. The barriers extracted from Arrhenius plots depend on the cluster size as $B \propto A^{\sigma}$ where $\sigma$…

Nuclear Theory · Physics 2013-05-29 C. M. Mader , A. Chappars , J. B. Elliott , L. G. Moretto , L. Phair , G. J. Wozniak

We investigate the variation of the driving force for crystallization of a supercooled liquid along isomorphs, curves along which structure and dynamics are invariant. The variation is weak, and can be predicted accurately for the…

Statistical Mechanics · Physics 2017-06-23 Ulf R. Pedersen , Karolina Adrjanowicz , Kristine Niss , Nicholas P. Bailey

We present a molecular dynamics simulation study of the liquid-solid transition in a two dimensional system consisting of particles of two different sizes interacting via a truncated Lennard-Jones potential. We work with equal number of…

Materials Science · Physics 2008-02-03 M. Reza Sadr-Lahijany , Purusattam Ray , Stephen T. Harrington , H. Eugene Stanley

Polydisperse fluids are encountered everywhere in biological and industrial processes. These fluids naturally show a rich phenomenology exhibiting fractionation and shifts in critical point and freezing temperatures. Here, we study the…

Soft Condensed Matter · Physics 2015-09-07 Trond S. Ingebrigtsen , Hajime Tanaka

We use molecular dynamics simulations in 2d to study multi-component fluid in the limiting case where {\it all the particles are different} (APD). The particles are assumed to interact via Lennard-Jones (LJ) potentials, with identical size…

Soft Condensed Matter · Physics 2015-06-23 Lenin S. Shagolsem , Dino Osmanović , Orit Peleg , Yitzhak Rabin

An analytic derivation of the spinodal of a polydisperse mixture is presented. It holds for fluids whose excess free energy can be accurately described by a function of a few moments of the size distribution. It is shown that one such…

Soft Condensed Matter · Physics 2009-10-31 Jose A. Cuesta

The properties of a fluid, or Ising magnet, confined in a $L \times \infty$ geometry with opposing surface fields at the walls are studied by density matrix renormalization techniques. In particular we focus on the effect of gravity on the…

Statistical Mechanics · Physics 2009-10-30 Enrico Carlon , Andrzej Drzewinski

We prove that according to Molecular Dynamics (MD) simulations of liquid mixtures of Lennard-Jones (L-J) particles, there is no third order phase transition in the supercritical regime beyond Andrew's critical point. This result is in open…

Chemical Physics · Physics 2014-11-11 Jinglong Zhu , Pingwen Zhang , Han Wang , Luigi Delle Site

Water is an unique material with a long list of thermodynamic, dynamic and structural anomalies, which are usually attributed to the competition between two characteristic length scales in the intermolecular interaction. It has been argued…

Statistical Mechanics · Physics 2021-06-25 Murilo S. Marques , Vinicius Fonseca Hernandes , Enrique Lomba , J. Rafael Bordin

We study a two-dimensional fluid of dipolar hard disks by Monte Carlo simulations in a square with periodic boundary conditions and on the surface of a sphere. The theory of the dielectric constant and the asymptotic behaviour of the…

Soft Condensed Matter · Physics 2015-10-28 Jean-Michel Caillol , Jean-Jacques Weis

Mixing-demixing transitions in one-dimensional mixtures of fermions and bosons are numerically investigated. With Monte Carlo simulations, we searched the transitions by changing various parameters such as number densities of each…

Other Condensed Matter · Physics 2009-11-11 Yousuke Takeuchi , Hiroyuki Mori

Vapor-liquid menisci of the truncated and shifted Lennard-Jones fluid between parallel planar walls are investigated by molecular dynamics simulation. Thereby, the characteristic energy of the unlike dispersive interaction between fluid…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Martin Horsch , Martina Heitzig , Calin Dan , Jens Harting , Hans Hasse , Jadran Vrabec

We present a systematic study of the effect of the ion pairing on the gas-liquid phase transition of hard-core 1:1 electrolyte models. We study a class of dipolar dimer models that depend on a parameter R_c, the maximum separation between…

Statistical Mechanics · Physics 2009-11-07 J. M. Romero-Enrique , L. F. Rull , A. Z. Panagiotopoulos

We present results of large-scale Monte Carlo simulations for a three-dimensional Ising model with short range interactions and planar defects, i.e., disorder perfectly correlated in two dimensions. We show that the phase transition in this…

Disordered Systems and Neural Networks · Physics 2009-11-10 Rastko Sknepnek , Thomas Vojta

We apply a recently proposed density functional for mixtures of parallel hard cylinders, based on Rosenfeld's fundamental measure theory, to study the effect of length-polydispersity on the relative stability between the smectic and…

Soft Condensed Matter · Physics 2015-05-13 Yuri Martinez-Raton , Jose A. Cuesta