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We compute the fourth virial coefficient of a binary nonadditive hard-sphere mixture over a wide range of deviations from diameter additivity and size ratios. Hinging on this knowledge, we build up a $y$ expansion [B. Barboy and W. N.…

Soft Condensed Matter · Physics 2011-10-25 G. Pellicane , F. Saija , C. Caccamo , P. V. Giaquinta

Generalized wall-functions in application to high-Reynolds-number turbulence models are derived. The wall-functions are based on transfer of a boundary condition from a wall to some intermediate boundary near the wall (usually the first…

Computational Physics · Physics 2007-05-23 Sergei V. Utyuzhnikov

An approach is proposed to calculate the direct reaction (DR) and fusion probabilities for heavy ion collisions at near-Coulomb-barrier energies as functions of the distance of closest approach D within the framework of the optical model…

Nuclear Theory · Physics 2009-11-07 B. T. Kim , W. Y. So , S. W. Hong , T. Udagawa

Following the work of Leutheusser [Physica A 127, 667 (1984)], the solution to the Percus-Yevick equation for a seven-dimensional hard-sphere fluid is explicitly found. This allows the derivation of the equation of state for the fluid…

Statistical Mechanics · Physics 2015-06-29 M. Robles , M. Lopez de Haro , A. Santos

We investigate a method to extract response functions (dynamical polarisabilities) directly from a bound-state approach applied to calculations of perturbation-induced reactions. The use of a square-integrable basis leads to a response in…

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

A recent mode coupling theory of higher-order correlation functions is tested on a simple hard-sphere fluid system at intermediate densities. Multi-point and multi-time correlation functions of the densities of conserved variables are…

Statistical Mechanics · Physics 2009-11-07 Ramses van Zon , Jeremy Schofield

We present a stochastic description of a model of N mutually repelling active spheres in the presence of external fields and characterize its steady state behavior. To reproduce the effects of the experimentally observed persistence of the…

Soft Condensed Matter · Physics 2015-11-03 Umberto Marini Bettolo Marconi , Claudio Maggi

We solve the Percus-Yevick equation in even dimensions by reducing it to a set of simple integro-differential equations. This work generalizes an approach we developed previously for hard discs. We numerically obtain both the pair…

Statistical Mechanics · Physics 2008-10-15 M. Adda-Bedia , E. Katzav , D. Vella

The structural property of liquid cesium is investigated in the temperature range 900 K to 1900 K by application of semiempirical effective Lennard-Jones (8.5-4) pair potential function and employing Gillan s algorithm to solve…

Statistical Mechanics · Physics 2007-05-23 Mohammad Hadi Ghatee , Mahmod Sanchooli

A simple fluid, described by point-like particles interacting via the Lennard-Jones potential, is considered under confinement in a slit geometry between two walls at distance Lz apart for densities inside the vapor-liquid coexistence…

Soft Condensed Matter · Physics 2009-11-13 Katarzyna Bucior , Leonid Yelash , Kurt Binder

Hard electromagnetic radiation diffraction experiments on copper(I)-bromide melt are presented. Combining the result of this experiment with earlier neutron diffraction experiments the partial pair distribution functions of CuBr have been…

Soft Condensed Matter · Physics 2007-05-23 J. Neuefeind

We study classical binary fluid mixtures in which densities vary on very short time (ps) and length (nm) scales, such that hydrodynamics does not apply. In a pure fluid with a localized heat pulse the breakdown of hydrodynamics was overcome…

Statistical Mechanics · Physics 2007-05-23 R. van Zon , E. G. D. Cohen

A new approach to thermodynamics of simple fluids is presented. The partition function is first expressed in the reciprocal space, it is argued that the links (p,q) between 2 molecules can reasonably in the thermodynamical limit be…

General Physics · Physics 2020-03-03 Richard Bonneville

We present a theoretical framework to investigate the microscopic structure of concentrated hard-sphere colloidal suspensions under strong shear flows by fully taking into account the boundary-layer structure of convective diffusion. We…

Soft Condensed Matter · Physics 2022-11-03 Luca Banetta , Francesco Leone , Carmine Anzivino , Michael S. Murillo , Alessio Zaccone

Within the framework of V-T theory of monatomic liquid dynamics, an exact equation is derived for a general equilibrium time correlation function. The purely vibrational contribution to such a function expresses the system's motion in one…

Soft Condensed Matter · Physics 2007-05-23 Eric D. Chisolm , Giulia De Lorenzi-Venneri , Duane C. Wallace

Starting with the Vlasov-Boltzmann equation for a binary fluid mixture, we derive an equation for the velocity field $\bm{u}$ when the system is segregated into two phases (at low temperatures) with a sharp interface between them. $\bm{u}$…

Statistical Mechanics · Physics 2016-08-31 Sorin Bastea , Raffaele Esposito , Joel L. Lebowitz , Rossana Marra

We show that the formal procedure of integrating out the degrees of freedom of the small spheres in a binary hard-sphere mixture works equally well for non-additive as it does for additive mixtures. For highly asymmetric mixtures (small…

Soft Condensed Matter · Physics 2009-11-07 R. Roth , R. Evans , A. A. Louis

We present new method for studying the equilibrium properties of interacting fluids in an arbitrary external filed. The method is valid in any dimension and it yields an exact results in one dimension. Using this approach, we derive a…

Soft Condensed Matter · Physics 2017-02-17 Benaoumeur Bakhti

We present a new method for studying equilibrium properties of interacting fluids in an arbitrary external field. The fluid is composed of monodisperse spherical particles with hard-core repulsion and additional interactions of arbitrary…

Soft Condensed Matter · Physics 2021-03-09 Benaoumeur Bakhti , Gerhard Müller
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