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Using scaled-particle theory for binary mixtures of two-dimensional hard particles with rotational freedom, we analyse the stability of nematic phases and the demixing phase behaviour of a variety of mixtures, focussing on cases where at…

Soft Condensed Matter · Physics 2009-11-13 D. de las Heras , Y. Martinez-Raton , E. Velasco

We report extensive molecular-dynamics simulation results for binary mixtures of hard spheres for different size disparities and different mixing percentages,for packing fractions up to 0.605 and over a characteristic time interval spanning…

Soft Condensed Matter · Physics 2007-05-23 G. Foffi , W. Gotze , F. Sciortino , P. Tartaglia , Th. Voigtmann

A recently proposed rational-function approximation [Phys. Rev. E \textbf{84}, 041201 (2011)] for the structural properties of nonadditive hard spheres is applied to evaluate analytically (in Laplace space) the local density profiles of…

Soft Condensed Matter · Physics 2013-04-08 Riccardo Fantoni , Andrés Santos

A possible solution of the well known paradox of chiral molecules is based on the idea of spontaneous symmetry breaking. At low pressure the molecules are delocalized between the two minima of a given molecular potential while at higher…

Chemical Physics · Physics 2015-08-05 Carlo Presilla , Giovanni Jona-Lasinio

We study the influence of particle size asymmetry on structural evolution of randomly jammed binary sphere mixtures with varying large-sphere/small-sphere composition. Simulations of jammed packings are used to assess the transition from…

Soft Condensed Matter · Physics 2017-11-29 Ishan Prasad , Christian D. Santangelo , Gregory M. Grason

We use computer simulations to study the glass transition of dense fluids made of polydisperse, repulsive spheres. For hard particles, we vary the volume fraction, phi, and use compressible particles to explore finite temperatures, T>0. In…

Statistical Mechanics · Physics 2009-08-25 Ludovic Berthier , Thomas A. Witten

A significant amount of attention was dedicated in recent years to the phenomenon of jamming of athermal amorphous solids by increasing the volume fraction of the microscopic constituents. At a critical value of the volume fraction,…

Soft Condensed Matter · Physics 2023-05-03 Yuliang Jin , Itamar Procaccia , Tuhin Samanta

Using molecular dynamics simulation we examine changeovers among crystal, glass, and liquid at high density in a two dimensional binary mixture. We change the ratio between the diameters of the two components and the temperature. The…

Soft Condensed Matter · Physics 2009-11-11 Toshiyuki Hamanaka , Akira Onuki

The microscopic approach to the description of the phase behaviour and critical phenomena in binary fluid mixtures is proposed. It is based on the method of collective variables with a reference system. The physical nature of the order…

Condensed Matter · Physics 2009-10-31 O. V. Patsahan

We measure the coexistence curve and the critical point properties of a binary mixture composed by polymethylmethacrylate (PMMA) at $M_w = 55900$ g/mol with 3- octanone. This binary mixture which has a demixing transition with an upper…

Soft Condensed Matter · Physics 2013-10-25 Caroline Crauste , Clemence Devailly , Audrey Steinberger , Sergio Ciliberto

Spontaneous phase separation, or demixing, is important in biological phenomena such as cell sorting. In particle-based models, an open question is whether differences in diffusivity can drive such demixing. While…

Soft Condensed Matter · Physics 2023-07-10 Erin McCarthy , Ojan Damavandi , Raj Kumar Manna , M. Lisa Manning

We study different dimensional fluids inspired by noncommutative geometry which admit conformal Killing vectors. The solutions of the Einstein field equations examined specifically for five different set of spacetime. We calculate the…

General Relativity and Quantum Cosmology · Physics 2015-04-15 Farook Rahaman , Anirudh Pradhan , Nasr Ahmed , Saibal Ray , Bijan Saha , Mosiur Rahaman

Mixtures of hard hyperspheres in odd space dimensionalities are studied with an analytical approximation method. This technique is based on the so-called Rational Function Approximation and provides a procedure for evaluating equations of…

Soft Condensed Matter · Physics 2015-03-17 René D. Rohrmann , Andrés Santos

The site-site Ornstein-Zernike equation combined with the Verlet-modified bridge function has been applied to the binary hard sphere mixtures and pressure consistency has been tested. An equation of state has been computed for the case…

Statistical Mechanics · Physics 2023-11-09 Banzragch Tsednee , Tsogbayar Tsednee , Tsookhuu Khinayat

We report comprehensive simulations of the critical dynamics of a symmetric binary Lennard-Jones mixture near its consolute point. The self-diffusion coefficient exhibits no detectable anomaly. The data for the shear viscosity and the…

Statistical Mechanics · Physics 2009-11-11 Subir K. Das , Michael E. Fisher , Jan V. Sengers , Juergen Horbach , Kurt Binder

Active systems are inherently out of equilibrium, as they collect energy from their surroundings and transform it into directed motion. A recent theoretical study suggests that binary mixtures of active particles with distinct effective…

Soft Condensed Matter · Physics 2017-11-22 Sunita Kumari , Andre S. Nunes , Nuno A. M. Araujo , Margarida Telo da Gama

We present exact results for the density profile of the one dimensional array of N hard spheres of diameter D and mass m under gravity g. For a strictly one dimensional system, the liquid-solid transition occurs at zero temperature, because…

Statistical Mechanics · Physics 2009-10-31 Daniel C. Hong

Different theoretical approaches for the thermodynamic properties and the equation of state for multicomponent mixtures of nonadditive hard spheres in $d$ dimensions are presented in a unified way. These include the theory by Hamad, our…

Soft Condensed Matter · Physics 2010-05-27 Andrés Santos , Mariano López de Haro , Santos B. Yuste

Virial coefficients for the two-dimensional hard-disk fluid, when expressed in powers of density relative to maximum close packing, lead to an accurate closed equation-of-state for the equilibrium fluid, analogous to that recently found for…

Statistical Mechanics · Physics 2008-04-07 Leslie V. Woodcock

Relaxation of the additivity condition on the interaction length between unlike species in a binary mixture of soft disks opens up a rich variety of structures in both crystal and amorphous states with an associated diverse range of…

Soft Condensed Matter · Physics 2014-02-17 Asaph Widmer-Cooper , Peter Harrowell