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Using a global equation of state, empirically derived by Luding, we accurately model the density profile of a two-dimensional hard sphere system with diameter D and mass m under gravity with a given temperature T [Physica A, 271, 192…

Materials Science · Physics 2010-11-24 Alison E. Koser , Paul V. Quinn

A numerical model is proposed to compute the eigenmodes and the forced response of multilayered elastic spheres. The main idea is to describe analytically the problem along the angular coordinates with spherical harmonics and to discretize…

Soft Condensed Matter · Physics 2020-04-27 Matthieu Gallezot , Fabien Treyssède , Odile Abraham

We consider a system where a spherical particle is suspended in a nematic liquid crystal confined between two walls. We calculate the liquid-crystal mediated potential of mean force between the sphere and a substrate by means of Monte Carlo…

Soft Condensed Matter · Physics 2009-11-07 Evelina B. Kim , Roland Faller , Qiliang Yan , Nicholas L. Abbott , Juan J. de Pablo

A state-based peridynamic formulation for linear elastic shells is presented. The emphasis is on introducing, possibly for the first time, a general surface based peridynamic model to represent the deformation characteristics of structures…

Computational Physics · Physics 2015-08-04 Shubhankar Roy Chowdhury , Pranesh Roy , Debasish Roy , J. N. Reddy

A model for the radial distribution function $g(r)$ of a square-well fluid of variable width previously proposed [S. B. Yuste and A. Santos, J. Chem. Phys. {\bf 101}, 2355 (1994)] is revisited and simplified. The model provides an explicit…

Statistical Mechanics · Physics 2007-05-23 L. Acedo , A. Santos

We study bridging transitions between spherically and cylindrically shaped particles (colloids) of radius $R$ separated by a distance $H$ that are dissolved in a bulk fluid (solvent). Using macroscopics, microscopic density functional…

Soft Condensed Matter · Physics 2015-09-30 Alexandr Malijevský , Andrew O. Parry

The collision of two equilibrium ground state solutions of the Schr\"odinger-Poisson (SP) system, in orthogonal states, is proposed as a formation mechanism of mixed state solutions of the SP system with spherical and first dipolar…

General Relativity and Quantum Cosmology · Physics 2022-07-01 Francisco S. Guzman

We study the statistical properties of two hard spheres in a two dimensional rectangular box. In this system, the relation like Van der Waals equation loop is obtained between the width of the box and the pressure working on side walls. The…

Condensed Matter · Physics 2009-10-31 Akinori Awazu

The notion of spin squeezing has been discussed in this paper using the density matrix formalism. Extending the definition of squeezing for pure states given by Kitagawa and Ueda in an appropriate manner and employing the spherical tensor…

Quantum Physics · Physics 2009-11-06 K. S. Mallesh , Swarnamala Sirsi , Mahmoud A. A. Sbaih , P. N. Deepak , G. Ramachandran

We formulate the dispersion equation for H modes of a circular waveguide with a perfectly conducting strip of zero thickness placed symmetrically in its diametral plane. The wave number of the lowest mode is calculated with high accuracy…

Classical Physics · Physics 2025-03-13 I. M. Braver , Kh. L. Garb , P. Sh. Friedberg

A Monte Carlo method for quantum spin systems is formulated in the basis of valence bond (singlet pair) states. The non-orthogonality of this basis allows for an efficient importance-sampled projection of the ground state out of an…

Strongly Correlated Electrons · Physics 2016-08-31 Anders W. Sandvik

Our recent study reveals that macroscopic structure in thermodynamically equilibrium state and its temperature dependence for classical discrete system can be well-characterized by a single specially-selected microscopic state (which we…

Materials Science · Physics 2019-05-01 Koretaka Yuge , Shouno Ohta

The solving of the Schrodinger equation for a position-dependent mass quantum system is studied in two ways. First, it is found the interaction which must be applied on a mass m(x) in order to supply it with a particular spectrum of…

Quantum Physics · Physics 2009-04-13 Sara Cruz y Cruz , Oscar Rosas-Ortiz

We propose a new semi empirical expression of the virial coefficients for a hard sphere fluid which is valid in the disordered phase over the whole density range. The results are in good agreement with the numerical data and better than…

Statistical Mechanics · Physics 2016-03-15 Richard Bonneville

The collision dynamics of hard spheres and cylindrical pores is solved exactly, which is the minimal model for a regularly porous membrane. Nonequilibrium event-driven molecular dynamics simulations are used to show that the permeability…

Soft Condensed Matter · Physics 2021-04-23 Yue Yu , Kai Zhang

We generate the equation of state (EOS) of solid parahydrogen using a path-integral Monte Carlo (PIMC) simulation based on a highly accurate first-principles adiabatic hindered rotor (AHR) potential energy curve for the parahydrogen dimer.…

Chemical Physics · Physics 2025-06-05 Alexander Ibrahim , Lecheng Wang , Tom Halverson , Robert J Le Roy , Pierre-Nicholas Roy

An analytic, asymptotic approximation of the nonlinear steady-state equations for viscoelastic creeping flow, modeled by the Oldroyd-B equations with polymer stress diffusion, is derived. Near the extensional stagnation point the flow…

Fluid Dynamics · Physics 2016-01-14 Joseph A. Biello , Becca Thomases

The London ground-state energy formula as a function of number density for a system of identical boson hard spheres, corrected for the reduced mass of a pair of particles in a sphere-of-influence picture, and generalized to fermion…

Statistical Mechanics · Physics 2009-11-13 M. A. Solís , M. de Llano , J. W. Clark , George A. Baker

To reconstruct a mixed or pure quantum state of a spin s is possible through coherent states: its density matrix is fixed by the probabilities to measure the value s along 4s(s+1) appropriately chosen directions in space. Thus, after…

Quantum Physics · Physics 2007-05-23 Stefan Weigert

An event-driven molecular dynamics simulation of inelastic hard spheres contained in a cylinder and subject to strong vibration reproduces accurately experimental results[1] for a system of vibrofluidized glass beads. In particular, we are…

Statistical Mechanics · Physics 2009-11-07 J. Talbot , P. Viot
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