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Ehrenfest's theorem in the infinite square well is up to now only manifested indirectly. The manifestation of this theorem is first done in the finite square well, and then consider the infinite square well as the limit of the finite well.…

量子物理 · 物理学 2016-09-26 Chyi-Lung Lin

The rational function approximation method, density functional theory, and NVT Monte Carlo simulation are used to obtain the density profiles of multicomponent hard-sphere mixtures near a planar hard wall. Binary mixtures with a size ratio…

统计力学 · 物理学 2007-06-06 Alexandr Malijevsky , Santos B. Yuste , Andres Santos , Mariano Lopez de Haro

The structural properties of fluids whose molecules interact via potentials with a hard core plus two piece-wise constant sections of different widths and heights are presented. These follow from the more general development previously…

软凝聚态物质 · 物理学 2013-08-27 Andrés Santos , Santos B. Yuste , Mariano López de Haro , Mariana Bárcenas , Pedro Orea

We calculate, through Monte Carlo numerical simulations, the partial total and direct correlation functions of the three dimensional symmetric Widom-Rowlinson mixture. We find that the differences between the partial direct correlation…

统计力学 · 物理学 2015-06-24 R. Fantoni , G. Pastore

We obtain a fundamental measure density functional for mixtures of parallel hard cylinders. To this purpose we first generalize to multicomponent mixtures the fundamental measure functional proposed by Tarazona and Rosenfeld for a…

软凝聚态物质 · 物理学 2009-11-13 Yuri Martinez-Raton , Jose A. Capitan , Jose A. Cuesta

A film-like or a thread-like system is a system such that one of its constituting homogeneous phases has a constant thickness $\delta$ or a constant normal section of largest diameter $\delta$. The stick probability function of this phase,…

材料科学 · 物理学 2015-11-26 Salvino Ciccariello , Pietro Riello , Alvise Benedetti

The correlation entropy as a functional of radial distribution function $g(r)$ (or the total correlation function $h(r)=g(r)-1$) in classical fluids has been obtained from the second Legendre transform of the grand potential. We focus on…

统计力学 · 物理学 2018-11-02 Hiroshi Frusawa

The structural properties of the Jagla fluid are studied by Monte Carlo (MC) simulations, numerical solutions of integral equation theories, and the (semi-analytical) rational-function approximation (RFA) method. In the latter case, the…

软凝聚态物质 · 物理学 2018-08-01 Mariano López de Haro , Álvaro Rodríguez-Rivas , Santos B. Yuste , Andrés Santos

A classical density functional theory is applied to study solvation of solutes in water. An approx- imate form of the excess functional is proposed for water. This functional requires the knowledge of pure solvent direct correlation…

化学物理 · 物理学 2014-09-01 Guillaume Jeanmairet

A free energy functional for a crystal that contains both the symmetry conserved and symmetry broken parts of the direct pair correlation function has been used to investigate the crystallization of fluids in three-dimensions. The symmetry…

软凝聚态物质 · 物理学 2015-06-15 Atul S. Bharadwaj , Swarn L. Singh , Yashwant Singh

We have conducted a study of the femtoscopic correlation functions for the $D^0D^{*+}$ and $D^+D^{*0}$ channels that build the $T_{cc}$ state. We develop a formalism that allows us to factorize the scattering amplitudes outside the…

高能物理 - 唯象学 · 物理学 2023-03-13 I. Vidana , A. Feijoo , M. Albaladejo , J. Nieves , E. Oset

As part of a project to obtain better optical response functions for nano materials and other systems with strong excitonic effects we here calculate the exchange-correlation (XC) potential of density-functional theory (DFT) at a level of…

其他凝聚态物理 · 物理学 2009-11-13 M. Hellgren , U. von Barth

Consider the motion of a thin layer of electrically conducting fluid, between two closely spaced parallel plates, in a classical Hele-Shaw geometry. Furthermore, let the system be immersed in a uniform external magnetic field (normal to the…

流体动力学 · 物理学 2024-09-24 Kyle McKee

The shear stress autocorrelation function has been studied recently by molecular dynamics simulation using the 1/q^n potential for very large n. The results are analyzed and interpreted here by comparing them to the shear stress response…

统计力学 · 物理学 2009-11-07 James W. Dufty

Density functional simulations of condensed phase water are typically inaccurate, due to the inaccuracies of approximate functionals. A recent breakthrough showed that the SCAN approximation can yield chemical accuracy for pure water in all…

化学物理 · 物理学 2023-02-10 Suhwan Song , Stefan Vuckovic , Youngsam Kim , Hayoung Yu , Eunji Sim , Kieron Burke

A general formula for the correlation function in redshift space is derived in linear theory. The formula simultaneously includes wide-angle effects and cosmological distortions. The formula is applicable to any pair with arbitrary angle…

天体物理学 · 物理学 2009-10-31 Takahiko Matsubara

In this work I derive analytic expressions for the curvature dependent fluid-substrate surface tension of a hard sphere fluid on a hard curved wall. In a first step, the curvature thermodynamic properties are found as truncated power series…

软凝聚态物质 · 物理学 2014-04-23 Ignacio Urrutia

The "spectral correlation function" analysis we introduce in this paper is a new tool for analyzing spectral-line data cubes. Our initial tests, carried out on a suite of observed and simulated data cubes, indicate that the spectral…

天体物理学 · 物理学 2009-10-31 Erik W. Rosolowsky , Alyssa A. Goodman , David J. Wilner , Jonathan P. Williams

A system of soft ellipsoid molecules confined between two planar walls is studied using classical Density Functional Theory (DFT). Both the isotropic and nematic phases are considered. The excess free energy is evaluated using two different…

材料科学 · 物理学 2009-11-10 David Cheung , Friederike Schmid

An analysis of the direct correlation functions $c_{ij} (r)$ of binary additive hard-sphere mixtures of diameters $\sigma_s$ and $\sigma_b$ (where the subscripts $s$ and $b$ refer to the "small" and "big" spheres, respectively), as obtained…