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We study a binary mixture of Bose-Einstein condensates, confined in a generic potential, in the Thomas-Fermi approximation. We search for the zero-temperature ground state of the system, both in the case of fixed numbers of particles and…

Mathematical Physics · Physics 2011-12-08 P. Facchi , G. Florio , S. Pascazio , F. V. Pepe

We simulate model systems of charged spherical particles in their counterion solution and measure the thermodynamic pressure and the pair distribution function from which we derive effective potentials of mean force. For a system with only…

Soft Condensed Matter · Physics 2007-05-23 Niels Gronbech-Jensen , Keith M Beardmore , Philip Pincus

We use hard-sphere generalized hydrodynamic equations to discuss the extended hydrodynamic modes of a binary mixture. The theory presented here is analytic and it provides us with a simple description of the collective excitations of a…

Soft Condensed Matter · Physics 2009-11-11 M. Cristina Marchetti , Supurna Sinha

We report a Monte Carlo simulation study of the properties of highly asymmetric binary hard sphere mixtures. This system is treated within an effective fluid approximation in which the large particles interact through a depletion potential…

Statistical Mechanics · Physics 2009-11-11 Julio Largo , Nigel B. Wilding

Measuring the structure factor, S(q), of a dispersion of particles by Small-Angle X-ray Scattering provides a unique method to investigate the spatial arrangement of colloidal particles. However, it is impossible to find the exact location…

Soft Condensed Matter · Physics 2020-12-09 Robert Botet , Sylvie Kwok , Bernard Cabane

The shear viscosity for a heated granular binary mixture of smooth hard spheres at low-density is analyzed. The mixture is heated by the action of an external driving force (Gaussian thermostat) which exactly compensate for cooling effects…

Statistical Mechanics · Physics 2009-11-07 J. M. Montanero , V. Garzo

We present a numerical study of the spatial correlations of a quasi-two-dimensional granular fluid kept in a non-static steady state via vertical shaking. The simulations explore a wide range of packing fractions, vertical accelerations and…

Soft Condensed Matter · Physics 2016-09-14 Stephanie Velázquez-Pérez , Gabriel Pérez-Ángel , Yuri Nahmad-Molinari

A possible approximate route to obtain the equation of state of the monodisperse hard-sphere system in the metastable fluid region from the knowledge of the equation of state of a hard-sphere mixture at high densities is discussed. The…

Soft Condensed Matter · Physics 2011-11-11 Andrés Santos , Santos B. Yuste , Mariano López de Haro

As potential progenitors of several exotic phenomena including gravitational wave sources, magnetic stars, and Be stars, close massive binary systems probe a crucial area of the parameter space in massive star evolution. Despite the…

We perform extensive Monte Carlo simulations of binary hard-sphere mixtures (with diameter ratios of 5 and 10), to determine the entropic force between (1) a macrosphere and a hard wall, and (2) a pair of macrospheres. The microsphere…

Statistical Mechanics · Physics 2009-10-30 Ronald Dickman , Phil Attard , Veronika Simonian

In this paper, we extend the analysis of the subcritical approximation of the Nirenberg problem on spheres recently conducted in \cite{MM19, MM}. Specifically, we delve into the scenario where the sequence of blowing up solutions exhibits a…

Analysis of PDEs · Mathematics 2024-04-23 Mohameden Ahmedou , Mohamed Ben Ayed , Khalil El Mehdi

An equation of state for a multicomponent mixture of non-additive hard spheres in $d$ dimensions is proposed. It yields a rather simple density dependence and constitutes a natural extension of the equation of state for additive hard…

Soft Condensed Matter · Physics 2007-05-23 A. Santos , M. Lopez de Haro , S. B. Yuste

We propose a method to study quantitatively the glass transition in a system of interacting particles. In spite of the absence of any quenched disorder, we introduce a replicated version of the hypernetted chain equations. The solution of…

Condensed Matter · Physics 2009-10-28 Marc Mezard , Giorgio Parisi

We solve a Minkowski-space integral equation, derived in the Covariant Spectator Theory, for quark-antiquark bound states describing heavy and heavy-light mesons. The equation's kernel contains a one-gluon exchange interaction and a…

High Energy Physics - Phenomenology · Physics 2017-08-30 Sofia Leitão , Alfred Stadler , M. T. Peña , Elmar P. Biernat

We propose a method for describing a phase behavior of a system consisting of particles of two sorts. The interaction of each species is described by interaction potentials containing the repulsive and attractive components. Asymmetry is…

Statistical Mechanics · Physics 2020-06-19 M. P. Kozlovskii , O. A. Dobush

Integral equation theories (IETs) based on the Ornstein-Zernike (OZ) relation can be used as an analytical tool to predict structural and thermodynamic properties and phase behavior of fluids with low numerical cost. However, there are no…

Biological Physics · Physics 2023-09-04 Elena Rufeil Fiori , Adolfo J. Banchio

Using confocal-microscopy we investigate the structure of binary mixtures of colloidal hard spheres with size ratio q=0.61. As a function of the packing fraction of the two particle species, we observe a marked change of the dominant…

Soft Condensed Matter · Physics 2007-10-04 Jörg Baumgartl , Roel P. A. Dullens , Marjolein Dijkstra , Roland Roth , Clemens Bechinger

Using computed x-ray tomography we determine the three dimensional (3d) structure of binary hard sphere mixtures as a function of composition and size ratio of the particles, q. Using a recently introduced four-point correlation function we…

Soft Condensed Matter · Physics 2023-02-15 Houfei Yuan , Zhen Zhang , Walter Kob , Yujie Wang

We consider the differential equation that Zernike proposed to classify aberrations of wavefronts in a circular pupil, whose value at the boundary can be nonzero. On this account the quantum Zernike system, where that differential equation…

Mathematical Physics · Physics 2017-08-23 George S. Pogosyan , Cristina Salto-Alegre , Kurt Bernardo Wolf , Alexander Yakhno

We study a concentration problem on the unit sphere $\mathbb{S}^2$ for band-limited spherical harmonics expansions using large sieve methods. We derive upper bounds for concentration in terms of the maximum Nyquist density. Our proof uses…

Functional Analysis · Mathematics 2019-10-16 Michael Speckbacher , Tomasz Hrycak
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