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The leading order "temperature" of a dense two dimensional granular material fluidised by external vibrations is determined. An asymptotic solution is obtained where the particles are considered to be elastic in the leading approximation.…

Soft Condensed Matter · Physics 2009-10-31 P. Sunthar , V. Kumaran

Analyzing three approximate methods to locate liquid-solid coexistence in simple systems, an observation is made that all of them predict the same functional dependence of the temperature on density at freezing and melting of the…

Soft Condensed Matter · Physics 2011-11-30 Sergey A. Khrapak , Gregor E. Morfill

The dynamics of the expansion of a Lennard-Jones system, initially confined at high density and subsequently expanding freely in the vacuum, is confronted to an expanding statistical ensemble, derived in the diluted quasi-ideal Boltzmann…

Statistical Mechanics · Physics 2008-03-12 M. J. Ison , F. Gulminelli , C. Dorso

Molecular dynamics results for the dynamic Prigogine-Defay ratio are presented for two glass-forming liquids, thus evaluating the experimentally relevant quantity for testing whether metastable-equilibrium liquid dynamics to a good…

Soft Condensed Matter · Physics 2009-11-11 Ulf R. Pedersen , Tage Christensen , Thomas B. Schrøder , Jeppe C. Dyre

We present an efficient Monte Carlo algorithm for determining the density of states which is based on the statistics of transition probabilities between states. By measuring the infinite temperature transition probabilities--that is, the…

Soft Condensed Matter · Physics 2009-11-10 M. S. Shell , P. G. Debenedetti , A. Z. Panagiotopoulos

The dynamic and static critical behavior of five binary Lennard-Jones liquid mixtures, close to their continuous demixing points (belonging to the so-called model H' dynamic universality class), are studied computationally by combining…

Statistical Mechanics · Physics 2018-03-09 Sutapa Roy , S. Dietrich , Felix Höfling

By using a formulation of motion equations for a viscous (compressible) fluid flow in terms of the vorticity and the rate of expansion as the main fluid dynamical variables, an approximation model is established for compressible flows with…

Analysis of PDEs · Mathematics 2023-08-17 Zhongmin Qian , Zihao Shen

A recently proposed rational-function approximation [Phys. Rev. E \textbf{84}, 041201 (2011)] for the structural properties of nonadditive hard spheres is applied to evaluate analytically (in Laplace space) the local density profiles of…

Soft Condensed Matter · Physics 2013-04-08 Riccardo Fantoni , Andrés Santos

We calculate the ground-state energy, pair correlation function, static structure factor, and momentum density of the one-dimensional electron fluid at high density using variational quantum Monte Carlo simulation. For an infinitely thin…

Strongly Correlated Electrons · Physics 2018-10-03 Vinod Ashokan , N. D. Drummond , K. N. Pathak

The formation and dissolution of a droplet is an important mechanism related to various nucleation phenomena. Here, we address the droplet formation-dissolution transition in a two-dimensional Lennard-Jones gas to demonstrate a consistent…

Computational Physics · Physics 2018-12-19 Franz Paul Spitzner , Johannes Zierenberg , Wolfhard Janke

The depletion potential between two hard spheres in a solvent of thin hard disclike platelets is investigated by using either the Derjaguin approximation or density functional theory. Particular attention is paid to the density dependence…

Soft Condensed Matter · Physics 2009-11-10 L. Harnau , S. Dietrich

In this work, the molar volume thermal expansion coefficient of 59 room temperature ionic liquids is compared with their van der Waals volume Vw. Regular correlation can be discerned between the two quantities. An average free volume model,…

Chemical Physics · Physics 2014-04-03 Yang Yu , Reinhard Krause-Rehberg

Using state-of-the-art rare-event sampling simulations, we precisely characterize the nucleation of liquid droplets from a supersaturated Lennard-Jones gas and uncover a key physical feature: critical clusters nucleate with a density that…

Chemical Physics · Physics 2026-01-07 Yijian Wu , Thomas Philippe , Aymane Graini , Julien Lam

We address a recent conjecture according to which the relaxation time $\tau$ of a viscous liquid obeys density scaling ($\tau=F(\rho^\gamma/T)$ where $\rho$ is density) if the liquid is ``strongly correlating,'' i.e., has almost 100%…

Soft Condensed Matter · Physics 2012-03-27 Thomas B. Schrøder , Ulf R. Pedersen , Jeppe C. Dyre

The demixing transition of a binary fluid mixture of additive hard spheres is analyzed for different size asymmetries by starting from the exact low-density expansion of the pressure. Already within the second virial approximation the fluid…

Statistical Mechanics · Physics 2009-11-10 M. Lopez de Haro , C. F. Tejero

The analytical solution of heated laminar vertical jet in a liquid with power-law temperature dependence of density was obtained in the skin-layer approximation for certain values of Prandtl number. Cases of point and linear sources were…

Fluid Dynamics · Physics 2009-06-09 V. A. Sharifulin

A simple theory is proposed for the dispersive molecular binding of unusually high magnitude due to an enhanced polarizability. Two alternative ways have so far been considered in the literature leading to the polarizability enhancement:…

Soft Condensed Matter · Physics 2007-05-23 Mladen Georgiev , Alexander Gochev , Jai Singh

We consider electronic exchange and correlation effects in density-functional calculations of two-dimensional systems. Starting from wave function calculations of total energies and electron densities of inhomogeneous model systems, we…

Mesoscale and Nanoscale Physics · Physics 2012-05-30 Ilja Makkonen , Mikko M. Ervasti , Ville Kauppila , Ari Harju

This series of papers is devoted to identifying and explaining the properties of strongly correlating liquids, i.e., liquids with more than 90% correlation between their virial W and potential energy U fluctuations in the NVT ensemble.…

Soft Condensed Matter · Physics 2012-03-27 Thomas B. Schrøder , Nicoletta Gnan , Ulf R. Pedersen , Nicholas P. Bailey , Jeppe C. Dyre

Using molecular dynamics simulation, we have calculated the pressure dependence of the diffusion constant in a binary Lennard-Jones Glass. We observe four temperature regimes. The apparent activation volume drops from high values in the hot…

Disordered Systems and Neural Networks · Physics 2009-11-07 H. R. Schober