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The well-known Wall theorem states a simple and precise relation among temperature, pressure and density of a fluid at contact with a confining hard wall in thermodynamic equilibrium. In this Letter we develop an extension of the Wall…

Statistical Mechanics · Physics 2019-10-23 Ignacio Urrutia , Ivan Paganini , Claudio Pastorino

Computer models are used as a way to explore complex physical systems. Stationary Gaussian process emulators, with their accompanying uncertainty quantification, are popular surrogates for computer models. However, many computer models are…

Methodology · Statistics 2024-11-25 Faezeh Yazdi , Derek Bingham , Daniel Williamson

The principle of dynamic equivalence between soft-sphere and hard-sphere fluids [Phys. Rev. E \textbf{68}, 011405 (2003)] is employed to describe the interplay of the effects of varying the density n, the temperature T, and the softness…

The Barker-Henderson perturbation theory is a bedrock of liquid-state physics, providing quantitative predictions for the bulk thermodynamic properties of realistic model systems. However, this successful method has not been exploited for…

Soft Condensed Matter · Physics 2020-11-03 S. M. Tschopp , H. D. Vuijk , A. Sharma , J. M. Brader

Perfectly conducting boundaries, and their Dirichlet counterparts for quantum scalar fields, predict nonintegrable energy densities. A more realistic model with a finite ultraviolet cutoff yields two inconsistent values for the force on a…

High Energy Physics - Theory · Physics 2016-05-18 S. W. Murray , C. M. Whisler , S. A. Fulling , Jef Wagner , H. B. Carter , David Lujan , F. D. Mera , T. E. Settlemyre

We present a numerical simulation of a granular material using hydrodynamic equations. We show that, in the absence of external forces, such a system phase-separates into high density and low density regions. We show that this separation is…

Soft Condensed Matter · Physics 2009-11-07 Scott A. Hill , Gene F. Mazenko

Motivated by the phenomenon of transport barriers in fusion plasma devices, we write a mathematical model of heat dispersion in a turbulent fluid with a transport barrier, properly idealized; in a scaling limit of the turbulence model with…

Probability · Mathematics 2025-10-21 Olga Aryasova , Franco Flandoli , Andrey Pilipenko

We investigate the behavior of a patchy particle model close to a hard-wall via Monte Carlo simulation and density functional theory (DFT). Two DFT approaches, based on the homogeneous and inhomogeneous versions of Wertheim's first order…

Many features of real granular fluids under rapid flow are exhibited as well by a system of smooth hard spheres with inelastic collisions. For such a system, it is tempting to apply standard methods of kinetic theory and hydrodynamics to…

Statistical Mechanics · Physics 2016-11-23 James W. Dufty

Forthcoming experiments will enable us to determine tomographic shear spectra at a high precision level. Most predictions about them have until now been biased on algorithms yielding the expected linear and non-linear spectrum of density…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Luciano Casarini , Silvio A. Bonometto , Stefano Borgani , Klaus Dolag , Giuseppe Murante , Marino Mezzetti , Luca Tornatore , Giuseppe La Vacca

Coarse-grained (CG) modeling has gained significant attention in recent years due to its wide applicability in enhancing the spatiotemporal scales of molecular simulations. While CG simulations, often performed with Hamiltonian mechanics,…

Chemical Physics · Physics 2025-04-01 Jaehyeok Jin , Gregory A. Voth

Theoretical concepts in condensed matter physics are typically verified and also developed by exploiting computer simulations mostly in simple models. Predictions based on these usually isotropic models are often at odds with measurement…

Soft Condensed Matter · Physics 2020-11-13 K. Koperwas , A. Grzybowski , M. Paluch

We investigate the liquid-solid transition of two dimensional hard spheres in the presence of gravity. We determine the transition temperature and the fraction of particles in the solid regime as a function of temperature via Even-Driven…

Condensed Matter · Physics 2009-10-31 Paul V. Quinn , Daniel C. Hong

An important aspect of astrophysical MHD turbulence research is developing diagnostics to connect simulations with the observable universe. Turbulent systems are by definition structurally complex in all fluid variables (density, velocity,…

Astrophysics · Physics 2007-05-23 Eve C. Ostriker

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…

Statistical Mechanics · Physics 2010-05-07 Ignacio Urrutia

We present a collision model for phase-resolved Direct Numerical Simulations of sediment transport that couple the fluid and particles by the Immersed Boundary Method. Typically, a contact model for these types of simulations comprises a…

Fluid Dynamics · Physics 2017-04-18 Edward Biegert , Bernhard Vowinckel , Eckart Meiburg

Kohn-Sham spin-density functional theory provides an efficient and accurate model to study electron-electron interaction effects in quantum dots, but its application to large systems is a challenge. An efficient algorithm for the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Hong Jiang , Harold U. Baranger , Weitao Yang

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…

Soft Condensed Matter · Physics 2013-09-10 Jeff Schulte , Patrick Kreitzberg , Chris Haglund , David Roundy

There is growing evidence that the flow of driven amorphous solids is not homogeneous, even if the macroscopic stress is constant across the system. Via event driven molecular dynamics simulations of a hard sphere glass, we provide the…

Soft Condensed Matter · Physics 2015-06-04 Suvendu Mandal , Markus Gross , Dierk Raabe , Fathollah Varnik

We determine and compare structural, dynamical, and electronic properties of liquid water at near ambient conditions through density-functional molecular dynamics simulations, when using either plane-wave or atomic-orbital basis sets. In…

Chemical Physics · Physics 2016-09-26 Giacomo Miceli , Jürg Hutter , Alfredo Pasquarello