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Monte Carlo simulations on the structural properties of ternary fluid mixtures of additive hard spheres are reported. The results are compared with those obtained from a recent analytical approximation [S. B. Yuste, A. Santos, and M. Lopez…

Statistical Mechanics · Physics 2007-05-23 Alexander Malijevsky , Anatol Malijevsky , Santos B. Yuste , Andres Santos , Mariano Lopez de Haro

In a recent article, we described how the microscopic structure of density-density correlations in the fluid interfacial region, for systems with short-ranged forces, can be understood by considering the resonances of the local structure…

Statistical Mechanics · Physics 2019-09-04 Andrew O. Parry , Carlos Rascón

We have obtained by Monte Carlo NVT simulations the constant-volume excess heat capacity of square-well fluids for several temperatures, densities and potential widths. Heat capacity is a thermodynamic property much more sensitive to the…

Statistical Mechanics · Physics 2007-05-23 J. Largo , J. R. Solana , L. Acedo , A. Santos

The contact interaction is often used in modeling ultracold atomic gases, although it leads to pathological behavior arising from the divergence of the many-body wavefunction when two particles coalesce. This makes it difficult to use this…

Quantum Gases · Physics 2014-12-22 P. O. Bugnion , P. López Ríos , R. J. Needs , G. J. Conduit

In swelling porous media, the potential for flow is much more than pressure, and derivations for flow equations have yielded a variety of equations. In this paper we show that the macroscopic flow potentials are the electro-chemical…

Mathematical Physics · Physics 2011-06-23 Lynn Schreyer-Bennethum

The aim of this work is to investigate to what extent the structural properties of a short-range square-well (SW) fluid of range $\lambda$ at a given packing fraction and reduced temperature can be represented by those of a…

Statistical Mechanics · Physics 2007-05-23 Alexandr Malijevsky , Santos B. Yuste , Andres Santos

The properties of the ground state of liquid $^4$He are studied using a correlated basis function of the form $\prod_{i<j} \psi(r_{ij})$. Here, $\psi(r)$ is chosen as the exact solution of the Schr\"{o}dinger equation for two $^4$He atoms.…

Other Condensed Matter · Physics 2009-09-17 Sanghamitra Neogi , Gerald D. Mahan

An accurate modeling of reactive flows in fractured porous media is a key ingredient to obtain reliable numerical simulations of several industrial and environmental applications. For some values of the physical parameters we can observe…

Numerical Analysis · Mathematics 2020-11-10 Luca Formaggia , Alessio Fumagalli , Anna Scotti

A new method for finding electronic structure and wavefunctions of electrons in quasiperiodic potential is introduced. To obtain results it uses slightly modified Schrodinger equation in spaces of dimensionality higher than physical space.…

Other Condensed Matter · Physics 2014-10-03 Igor V. Blinov

A method to obtain (approximate) analytical expressions for the radial distribution functions in a multicomponent mixture of additive hard spheres that was recently introduced is used to obtain the direct correlation functions and bridge…

Statistical Mechanics · Physics 2008-09-15 S. B. Yuste , A. Santos , M. López de Haro

The standard model of classical Density Functional Theory for pair potentials consists of a hard-sphere functional plus a mean-field term accounting for long ranged attraction. However, most implementations using sophisticated Fundamental…

Computational Physics · Physics 2021-01-04 James F. Lutsko , Cédric Schoonen

In this study, we develop computational models and methodology for accurate multi-component-flow simulation in under-resolved multi-scale porous structures. It is generally impractical to fully resolve the flow in porous structures with…

Recent discussions of RHIC data emphasized the exciting possibility that the matter produced in nucleus-nucleus collisions shows properties of a near-perfect fluid. Here, we aim at delineating the applicability of fluid dynamics, which is…

High Energy Physics - Phenomenology · Physics 2008-11-26 Rudolf Baier , Paul Romatschke , Urs Achim Wiedemann

We apply a range of density-functional-theory-based methods capable of describing van der Waals interactions to weakly bonded layered solids in order to investigate their accuracy for extended systems. The methods under investigation are…

Materials Science · Physics 2012-10-05 T. Björkman , A. Gulans , A. V. Krasheninnikov , R. M. Nieminen

An analytical form has been derived using Ostrogradski's integration method for the interaction between two thin rods of finite lengths in arbitrary relative configurations in a 3-dimensional space, each treated as a line of material points…

Soft Condensed Matter · Physics 2024-05-08 Junwen Wang , Gary Seidel , Shengfeng Cheng

Rational approximations of generalized hypergeometric functions ${}_pF_q$ of type $(n+k,k)$ are constructed by the Drummond and factorial Levin-type sequence transformations. We derive recurrence relations for these rational approximations…

Numerical Analysis · Mathematics 2023-07-13 Richard Mikael Slevinsky

Starting from the hypothesis of scaling solutions, the general exact form of the scalar field potential is found. In the case of two fluids, it turns out to be a negative power of hyperbolic sine. In the case of three fluids the analytic…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Claudio Rubano , John D. Barrow

This paper gives a systematic method for constructing an N-body potential, approximating the true potential, that accurately captures meso-scale behavior of the chemical or biological system using pairwise potentials coming from…

Chemical Physics · Physics 2016-05-19 Gunjan S. Thakur , Ryan Mohr , Igor Mezić

We review some of the exactly solvable one dimensional continuum fluid models of equilibrium classical statistical mechanics under the unified setting of functional integration in one dimension. We make some further developments and remarks…

Classical Physics · Physics 2016-11-30 Riccardo Fantoni

We present methodologies for calculating the direct correlation function, c(1,2), the cavity function, y(1,2), and the bridge function, b(1,2), for molecular liquids, from Monte Carlo simulations. As an example we present results for the…

Soft Condensed Matter · Physics 2009-11-11 David L. Cheung , Lucian Anton , Michael P. Allen , Andrew J. Masters
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