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By generalizing a geometric argument for frictionless spheres, a model is proposed for the jamming density $\phi_J$ of mechanically stable packings of bidisperse, frictional spheres. The monodisperse, $\mu_s$-dependent jamming density…

The hard phase model describes a relativistic barotropic fluid with sound speed equal to the speed of light. In the framework of general relativity, the motion of the fluid is coupled to the Einstein equations which describe the structure…

Analysis of PDEs · Mathematics 2024-05-27 Zeming Hao , Shuang Miao

We investigate bulk structural properties of tetravalent associating particles within the framework of classical density functional theory, building upon Wertheim's thermodynamic perturbation theory. To this end, we calculate density…

Soft Condensed Matter · Physics 2021-12-08 Daniel Stopper , Frank Hirschmann , Martin Oettel , Roland Roth

Hyperuniform particle arrangements are characterized by a local number variance that grows more slowly than the volume of the observation window. We generalize this concept to describe particle systems in which particles carry weights:…

Statistical Mechanics · Physics 2026-03-04 Salvatore Torquato , Jaeuk Kim , Michael A. Klatt , Roberto Car , Paul J. Steinhardt

In this paper, we study the equation of state admissible for a flat FRW models filled with a bulk viscous fluid by using the Lie group method. It is founded that the model admits scaling symmetries iff the bulk viscous parameter $\gamma…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. A. Belinchón

Accurate descriptions of reference systems are a central task in liquid-state theories for the study of more complex systems. Using scaled particle theory (SPT), we derive a fully analytical description of the thermodynamic properties of a…

Soft Condensed Matter · Physics 2026-03-31 T. Hvozd , M. Hvozd , M. Holovko

We characterize collective diffusion of hardcore run-and-tumble particles (RTPs) by explicitly calculating the bulk-diffusion coefficient $D(\rho, \gamma)$ in two minimal models on a $d$ dimensional periodic lattice for arbitrary density…

Statistical Mechanics · Physics 2024-03-12 Tanmoy Chakraborty , Punyabrata Pradhan

Few equilibrium --even less so nonequilibrium-- statistical-mechanical models with continuous degrees of freedom can be solved exactly. Classical hard-spheres in infinitely many space dimensions are a notable exception. We show that even…

Statistical Mechanics · Physics 2020-01-01 Thibaut Arnoulx de Pirey , Gustavo S. Lozano , Frédéric van Wijland

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…

Statistical Mechanics · Physics 2007-06-06 Alexandr Malijevsky , Santos B. Yuste , Andres Santos , Mariano Lopez de Haro

The microscopic approach to the description of the phase behaviour and critical phenomena in binary fluid mixtures is proposed. It is based on the method of collective variables with a reference system. The physical nature of the order…

Condensed Matter · Physics 2009-10-31 O. V. Patsahan

The static and dynamical properties of heavy water have been studied at ambient conditions with extensive Car-Parrinello molecular-dynamics simulations in the canonical ensemble, with temperatures ranging between 325 K and 400 K.…

Soft Condensed Matter · Physics 2007-05-23 P. H-L. Sit , Nicola Marzari

We consider a model in which the universe is the direct product of a (3+1)-dimensional Friedmann, Robertson-Walker (FRW) space and a compact hyperbolic manifold (CHM). Standard Model fields are confined to a point in the CHM (i.e. to a…

High Energy Physics - Theory · Physics 2008-11-26 Glenn D. Starkman , Dejan Stojkovic , Mark Trodden

The interfacial free energy is a central quantity in crystallization from the meta-stable melt. In suspensions of charged colloidal spheres, nucleation and growth kinetics can be accurately measured from optical experiments. In previous…

Soft Condensed Matter · Physics 2016-03-23 Thomas Palberg , Patrick Wette , Dieter M. Herlach

From numerical minimization of a model free energy functional for a system of hard spheres, we show that the width of the local peaks of the time-averaged density field at a glassy free-energy minimum exhibits large spatial variation,…

Statistical Mechanics · Physics 2008-12-23 Pinaki Chaudhuri , Smarajit Karmakar , Chandan Dasgupta

The observed constraints on the variability of the proton to electron mass ratio $\mu$ and the fine structure constant $\alpha$ are used to establish constraints on the variability of the Quantum Chromodynamic Scale and a combination of the…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-27 Rodger I. Thompson

Near-critical thermodynamics in the hard-sphere (1,1) electrolyte is well described, at a classical level, by Debye-Hueckel (DH) theory with (+,-) ion pairing and dipolar-pair-ionic-fluid coupling. But DH-based theories do not address…

Condensed Matter · Physics 2009-10-28 Benjamin P. Lee , Michael E. Fisher

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

Using $N$-body simulations with massive neutrino density perturbations, we detect the scale-dependent linear halo bias with high significance. This is the first time that this effect is detected in simulations containing neutrino density…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-06 Chi-Ting Chiang , Marilena LoVerde , Francisco Villaescusa-Navarro

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…

Soft Condensed Matter · Physics 2017-11-29 Ishan Prasad , Christian D. Santangelo , Gregory M. Grason

For the three-dimensional hard-sphere model we investigate the inhomogeneous two-body correlations predicted by Rosenfeld's fundamental measure theory. For the special cases in which the density has either planar or spherical symmetry we…

Soft Condensed Matter · Physics 2021-04-15 S. M. Tschopp , J. M. Brader
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