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Although the concept of random close packing with an almost universal packing fraction of ~ 0.64 for hard spheres was introduced more than half a century ago, there are still ongoing debates. The main difficulty in searching the densest…

Soft Condensed Matter · Physics 2013-10-28 Ran Ni , Martien A. Cohen Stuart , Marjolein Dijkstra

We present extensive Molecular Dynamics simulation results for the structure, static and dynamical response of a droplet of 1000 soft spheres carrying extended dipoles and confined to spherical cavities of radii $R=2.5$, 3, and 4 nm…

Soft Condensed Matter · Physics 2009-11-11 Ronald Blaak , Jean-Pierre Hansen

In a recent paper (cond-mat/0506445) we derived an expression for the replicated free energy of a liquid of hard spheres based on the HNC free energy functional. An approximate equation of state for the glass and an estimate of the random…

Statistical Mechanics · Physics 2009-11-11 G. Parisi , F. Zamponi

We relate the structure factor $S(\mathbf{k} \to \mathbf{0})$ in a system of jammed hard spheres of number density $\rho$ to its complexity per particle $\Sigma(\rho)$ by the formula $S(\mathbf{k} \to \mathbf{0})=-1/…

Disordered Systems and Neural Networks · Physics 2018-08-21 M. J. Godfrey , M. A. Moore

We study a quasi-one-dimensional fluid of hard dumbbells with continuous orientational degrees of freedom using an exact transfer-matrix formulation. The model allows for a complete analytical characterization of thermodynamic properties,…

Soft Condensed Matter · Physics 2026-05-14 Ana M. Montero , Péter Gurin , Szabolcs Varga , Andrés Santos

A grid-free variant of the Direct Simulation Monte Carlo (DSMC) method is proposed, named the Isotropic DSMC (I-DSMC) method, that is suitable for simulating dense fluid flows at molecular scales. The I-DSMC algorithm eliminates all grid…

Statistical Mechanics · Physics 2015-05-13 A. Donev , B. J. Alder , A. L. Garcia

Using only physical mechanisms, i.e., 3D MHD with no phenomenological viscosity, we have simulated the dynamics of a moderately thin accretion disk subject to torques whose radial scaling mimics those produced by lowest-order post-Newtonian…

High Energy Astrophysical Phenomena · Physics 2015-05-06 Julian H. Krolik , John F. Hawley

We investigate non-perturbative corrections to the large $N$ expansion of the homogeneous electron gas. These are associated with instanton solutions to the effective action of the plasmon field. We show that, although the large field…

Strongly Correlated Electrons · Physics 2022-03-16 Tom Banks , Bingnan Zhang

We begin with an exact expression for the entropy of a system of hard spheres within the Hamming space. This entropy relies on probability marginals, which are determined by an extended set of Belief Propagation (BP) equations. The BP…

Disordered Systems and Neural Networks · Physics 2024-09-06 Abolfazl Ramezanpour , Saman Moghimi-Araghi

We experimentally study the crystallization of a monolayer of vibrated discs with a built-in polar asymmetry, a model system of active liquids, and contrast it with that of vibrated isotropic discs. Increasing the packing fraction $\phi$,…

Soft Condensed Matter · Physics 2016-09-05 G. Briand , O. Dauchot

We report a systematic molecular dynamics study of the isochoric equilibration of hard-sphere fluids in their metastable regime close to the glass transition. The thermalization process starts with the system prepared in a non-equilibrium…

Recent theories predict that when a supercooled liquid approaches the glass transition, particle clusters with a special "amorphous order" nucleate within the liquid, which lead to static correlations dictating the dramatic slowdown of…

Soft Condensed Matter · Physics 2016-03-04 Bo Zhang , Xiang Cheng

The structure, thermodynamics and slow activated dynamics of the equilibrated metastable regime of glass-forming fluids remains a poorly understood problem of high theoretical and experimental interest. We apply a highly accurate…

Soft Condensed Matter · Physics 2024-08-21 Subhashish Chaki , Baicheng Mei , Kenneth S. Schweizer

Formation of vortex rings around moving spherical objects in superfluid He-4 at 0 K is modeled by time-dependent density functional theory. The simulations provide detailed information of the microscopic events that lead to vortex ring…

Other Condensed Matter · Physics 2018-10-17 A. Freund , D. Gonzalez , X. Buelna , F. Ancilotto , J. Eloranta

We study certain significant properties of the equilibrium configurations of a rigid body subject to an undamped elastic restoring force, in the stream of a viscous liquid in an unbounded 3D domain. The motion of the coupled system is…

Analysis of PDEs · Mathematics 2024-06-07 Denis Bonheure , Giovanni P. Galdi , Filippo Gazzola

A system of hard rigid rods of length $k$ on hypercubic lattices is known to undergo two phases transitions when chemical potential is increased: from a low density isotropic phase to an intermediate density nematic phase, and on further…

Statistical Mechanics · Physics 2022-03-14 Aagam Shah , Deepak Dhar , R. Rajesh

A torsional oscillator study of solid para-hydrogen has been carried out down to 20 mK in search for evidence of superfluidity. This work was inspired by the observation of the supersolid phase in solid He-4. We found evidence of a possible…

Other Condensed Matter · Physics 2009-11-11 A. C. Clark , X. Lin , M. H. W. Chan

The extreme temperatures and energy densities generated by ultra-relativistic collisions between heavy nuclei produce a state of matter with surprising fluid properties. Non-central collisions have angular momentum on the order of…

Nuclear Experiment · Physics 2017-08-29 STAR Collaboration

We study a mass transport model, where spherical particles diffusing on a ring can stochastically exchange volume $v$, with the constraint of a fixed total volume $V=\sum_{i=1}^N v_i$, $N$ being the total number of particles. The particles,…

Statistical Mechanics · Physics 2015-05-14 M. R. Evans , S. N. Majumdar , I. Pagonabarraga , E. Trizac

We present an experimental study of density and order fluctuations in the vicinity of the solid-liquid-like transition that occurs in a vibrated quasi-two-dimensional granular system. The two-dimensional projected static and dynamic…

Statistical Mechanics · Physics 2015-06-04 Gustavo Castillo , Nicolás Mujica , Rodrigo Soto
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