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We investigate the value of the correlation function of an inhomogeneous hard-sphere fluid at contact. This quantity plays a critical role in Statistical Associating Fluid Theory (SAFT), which is the basis of a number of recently developed…

软凝聚态物质 · 物理学 2013-09-10 Jeff Schulte , Patrick Kreitzberg , Chris Haglund , David Roundy

We analyze the structure of the Fundamental Measure Theory for the free energy density functional of hard sphere mixtures. A comparative study of the different versions of the theory, and other density functional approaches, is done in…

软凝聚态物质 · 物理学 2009-11-07 Jose A. Cuesta , Yuri Martinez-Raton , Pedro Tarazona

We study the influence of particle size asymmetry on structural evolution of randomly jammed binary sphere mixtures with varying large-sphere/small-sphere composition. Simulations of jammed packings are used to assess the transition from…

软凝聚态物质 · 物理学 2017-11-29 Ishan Prasad , Christian D. Santangelo , Gregory M. Grason

We introduce an approximation for the pair distribution function of the inhomogeneous hard sphere fluid. Our approximation makes use of our recently published averaged pair distribution function at contact which has been shown to accurately…

软凝聚态物质 · 物理学 2015-06-19 Paho Lurie-Gregg , Jeff B. Schulte , David Roundy

We investigate the dependence of the stickiness parameters $t_{ij}=1/(12\tau _{ij})$ -- where the $\tau_{ij}$ are the conventional Baxter parameters -- on the solute diameters $\sigma_{i}$ and $\sigma_{j}$ in multicomponent sticky hard…

软凝聚态物质 · 物理学 2009-11-11 Domenico Gazzillo , Achille Giacometti , Riccardo Fantoni , Peter Sollich

We study the approach to jamming in hard-sphere packings, and, in particular, the pair correlation function $g_{2}(r)$ around contact, both theoretically and computationally. Our computational data unambiguously separates the narrowing…

统计力学 · 物理学 2009-11-10 A. Donev , S. Torquato , F. H. Stillinger

We report comprehensive simulations of the critical dynamics of a symmetric binary Lennard-Jones mixture near its consolute point. The self-diffusion coefficient exhibits no detectable anomaly. The data for the shear viscosity and the…

统计力学 · 物理学 2009-11-11 Subir K. Das , Michael E. Fisher , Jan V. Sengers , Juergen Horbach , Kurt Binder

It is shown that Sarnak's M\"{o}bius orthogonality conjecture is fulfilled for the compact metric dynamical systems for which every invariant measure has singular spectra. This is accomplished by first establishing a special case of Chowla…

动力系统 · 数学 2020-06-16 el Houcein el Abdalaoui , Mahesh Nerurkar

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…

软凝聚态物质 · 物理学 2022-11-03 Luca Banetta , Francesco Leone , Carmine Anzivino , Michael S. Murillo , Alessio Zaccone

A density functional theory for a mixture of hard rods and polymers modeled as chains built of hard tangent spheres is proposed by combining the functional due to Yu and Wu for the polymer mixtures [J. Chem. Phys. {\bf 117}, 2368 (2002)]…

统计力学 · 物理学 2007-05-23 P. Bryk

We study various manifestations of structural crossover in the properties of a binary mixture of hard-spheres. For homogeneous mixtures that are sufficiently asymmetric, there is a crossover line in the phase diagram such that for…

软凝聚态物质 · 物理学 2009-11-11 C. Grodon , M. Dijkstra , R. Evans , R. Roth

We use the method of discrete loop equations to calculate exact correlation functions of spin and disorder operators on the sphere and on the boundary of a disk in the $c = 1/2$ string, both in the Ising and dual Ising matrix model…

高能物理 - 理论 · 物理学 2008-11-26 Sean M. Carroll , Miguel E. Ortiz , Washington Taylor

The $\Lambda_c p$ momentum correlation functions are investigated using $\Lambda_c N$ interactions derived within the covariant chiral effective field theory. Our analysis reveals that the interaction is weakly attractive in the…

高能物理 - 唯象学 · 物理学 2026-04-02 Ru-You Zheng , Zhi-Wei Liu , Li-Sheng Geng

An exchange-correlation energy functional $ E_{\mathrm xc} $ and the resultant exchange-correlation potential $ v_{\mathrm xc}({\bf r}) $ in density-functional theory are proposed using orbital-dependent coupling-constant-averaged pair…

强关联电子 · 物理学 2007-05-23 Hiroshi Yasuhara , Masahiko Higuchi , Yoshiyuki Kawazoe

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

We consider long strips of finite width $L \leq 13$ sites of ferromagnetic Ising spins with random couplings distributed according to the binary distribution: $P(J_{ij})= {1 \over 2} ( \delta (J_{ij} -J_0) + \delta (J_{ij} -rJ_0) ) ,\ 0 < r…

凝聚态物理 · 物理学 2009-10-28 S. L. A. de Queiroz , R. B. Stinchcombe

The main result of this paper characterizes the continuity from below of monotone functionals on the space $C_b$ of bounded continuous functions on an arbitrary Polish space as lower semicontinuity in the mixed topology. In this particular…

数理金融 · 定量金融 2024-01-25 Max Nendel

In this paper we prove two approximation results for divergence free measures. The first is a form of an assertion of J. Bourgain and H. Brezis concerning the approximation of solenoidal charges in the strict topology: Given $F \in…

偏微分方程分析 · 数学 2024-02-22 Jesse Goodman , Felipe Hernandez , Daniel Spector

The partition function and the one- and two-body distribution functions are evaluated for two hard spheres with different sizes constrained into a spherical pore. The equivalent problem for hard disks is addressed too. We establish a…

统计力学 · 物理学 2010-05-07 Ignacio Urrutia

We compute the two, three point function of the opearators in the spin zero multiplet of ${\cal N}=2$ Supersymmetric vector matter Chern-Simons theory at large $N$ and at all orders of 't Hooft coupling by solving the Schwinger-Dyson…

高能物理 - 理论 · 物理学 2020-05-01 Karthik Inbasekar , Sachin Jain , Vinay Malvimat , Abhishek Mehta , Pranjal Nayak , Tarun Sharma