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The scaled particle theory is developed for the description of thermodynamical properties of a mixture of hard spheres and hard spherocylinders. Analytical expressions for free energy, pressure and chemical potentials are derived. From the…

Soft Condensed Matter · Physics 2017-12-15 M. F. Holovko , M. V. Hvozd

Granular gaseous mixtures under rapid flow conditions are usually modeled by a multicomponent system of smooth inelastic hard spheres with constant coefficients of normal restitution. In the low density regime an adequate framework is…

Statistical Mechanics · Physics 2009-11-13 Francisco Vega Reyes , Vicente Garzo , Andres Santos

We investigate the Bose-Einstein condensation of fermionic pairs in a two-dimensional uniform two-component Fermi superfluid obtaining an explicit formula for the condensate density as a function of the chemical potential and the energy…

Statistical Mechanics · Physics 2009-11-13 Luca Salasnich

The classical (i.e. non-quantum) equilibrium statistical mechanics of a two-dimensional one-component plasma (a system of charged point-particles embedded in a neutralizing background) living on a pseudosphere (an infinite surface of…

Statistical Mechanics · Physics 2007-05-23 R. Fantoni , B. Jancovici , G. Téllez

We report on the phase behavior of an aqueous binary charged sphere suspension under exhaustively deionized conditions as a function of number fraction of small particles p and total number density n. The mixture of size ratio 0.557…

Soft Condensed Matter · Physics 2010-05-19 Nina J. Lorenz , Hans Joachim Schoepe , Thomas Palberg

We present a series of experimental investigations on binary mixtures of Bose-Einstein condensates. Our focus lies on the regime where the interaction parameters place the system at the threshold of miscibility. We demonstrate that the…

Quantum Gases · Physics 2025-12-09 Franco Rabec , Jérôme Beugnon , Jean Dalibard , Sylvain Nascimbene

We show in numerical simulations that a system of two coupled replicas of a binary mixture of hard spheres undergoes a phase transition in equilibrium at a density slightly smaller than the glass transition density for an unreplicated…

Disordered Systems and Neural Networks · Physics 2014-03-03 G. Parisi , B. Seoane

The demixing transition of a binary fluid mixture of additive hard spheres is analyzed for different size asymmetries by starting from the exact low-density expansion of the pressure. Already within the second virial approximation the fluid…

Statistical Mechanics · Physics 2009-11-10 M. Lopez de Haro , C. F. Tejero

The existence of large-data weak solutions to a steady compressible Navier-Stokes-Fourier system for chemically reacting fluid mixtures is proved. General free energies are considered satisfying some structural assumptions, with a pressure…

Analysis of PDEs · Mathematics 2024-06-19 Miroslav Buliček , Ansgar Jüngel , Milan Pokorný , Nicola Zamponi

The densest binary sphere packings in the alpha-x plane of small to large sphere radius ratio alpha and small sphere relative concentration x have historically been very difficult to determine. Previous research had led to the prediction…

Statistical Mechanics · Physics 2015-06-03 Adam B. Hopkins , Frank H. Stillinger , Salvatore Torquato

In the Chapman & Enskog version of the Burnett equations the two time derivatives in the pressure tensor and heat current are replaced by spatial derivatives using the equations to zero order in the Knudsen number. Bobylev showed that the…

Statistical Mechanics · Physics 2007-05-23 Lars H. Söderholm

In this letter, we used a combination of DEM and the multi-sphere method to investigate the random packing dynamics of $\Sigma_{2v}(2\pi/3)$-triplets. These triplets consist of three overlapping primary spheres, forming a bent structure…

Statistical Mechanics · Physics 2023-10-17 Carlos Handrey Araujo Ferraz

We investigate isotropic-isotropic, isotropic-nematic and nematic-nematic phase coexistence in binary mixtures of circular platelets with vanishing thickness, continuous rotational degrees of freedom and radial size ratios $\lambda$ up to…

Soft Condensed Matter · Physics 2015-05-18 Jonathan Phillips , Matthias Schmidt

The self-diffusion process of a hard sphere fluid confined by two parallel plates separated by a distance on the order of the particle diameter is studied. The starting point is a closed kinetic equation for the distribution function that…

Statistical Mechanics · Physics 2025-10-24 Manuel Mayo , María Isabel García de Soria , Pablo Maynar , José Javier Brey

The injection of liquid fuel at supercritical pressures is a relevant topic in combustion, but usually overlooked. In the past, the wrong assumption whereby the liquid experiments a fast transition to a supercritical state was made, thus…

Fluid Dynamics · Physics 2021-12-14 Jordi Poblador-Ibanez , William A. Sirignano

We develop a method for calculating the equilibrium properties of the liquid-solid phase transition in a classical, ideal, multi-component plasma. Our method is a semi-analytic calculation that relies on extending the accurate fitting…

Solar and Stellar Astrophysics · Physics 2012-07-31 Zach Medin , Andrew Cumming

Any numerical method fails to provide us with acceptable results if not equipped with appropriate boundary conditions. Catering to more realistic applications, in the present article we have extended the work done on the one plus one…

Numerical Analysis · Mathematics 2017-04-17 Neeraj Sarna

The coupling-parameter method, whereby an extra particle is progressively coupled to the rest of the particles, is applied to the sticky-hard-sphere fluid to obtain its equation of state in the so-called chemical-potential route ($\mu$…

Soft Condensed Matter · Physics 2014-04-15 René D. Rohrmann , Andrés Santos

In this brief note, we introduce a non-symmetric mixed finite element formulation for Brinkman equations written in terms of velocity, vorticity and pressure with non-constant viscosity. The analysis is performed by the classical…

Numerical Analysis · Mathematics 2019-05-07 Verónica Anaya , Bryan Gómez-Vargas , David Mora , Ricardo Ruiz-Baier

Using molecular dynamics simulations, we perform the first direct tests of three proposed models for the pair correlation functions of strongly coupled plasmas with species of unequal temperature. The models are all extensions of the…

Plasma Physics · Physics 2017-09-13 Nathaniel R. Shaffer , Sanat Kumar Tiwari , Scott D. Baalrud