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The Navier-Stokes transport coefficients of a granular gas are obtained from the Chapman-Enskog solution to the Boltzmann equation. The granular gas is heated by the action of an external driving force (thermostat) which does work to…

Statistical Mechanics · Physics 2009-11-07 V. Garzo , J. M. Montanero

In this work, a new algorithm is proposed to compute single particle (infinite dilution) thermodiffusion using Non-Equilibrium Molecular Dynamics simulations through the estimation of the thermophoretic force that applies on a solute…

Statistical Mechanics · Physics 2009-11-13 Guillaume Galliéro , S. Volz

Among the numerous anomalies of water, the acceleration of dynamics under pressure is particularly puzzling. Whereas the diffusivity anomaly observed in experiments has been reproduced in several computer studies, the parallel viscosity…

The Bose-Einstein condensation of vacancies in a three-dimensional decorated lattice is considered. The model describes possible scenario of superfluidity of solid helium, caused by the presence of zero-point vacancies in a dislocation…

Statistical Mechanics · Physics 2009-11-13 D. V. Fil , S. I. Shevchenko

A linear correlation is presented between the reduced surface tension \sigma^* and reduced temperature T^*_{extScal} by applying the extended scaling law. The correlation is applied quite accurately to 17 atomic, diatomic, and molecular…

Statistical Mechanics · Physics 2007-05-23 Mohammad Hadi Ghatee , Ali Soorghali

The Enskog kinetic equation is considered to determine the mobility $\lambda$ and diffusion $D$ transport coefficients of intruders immersed in a granular gas of inelastic hard spheres (grains). Intruders and grains are in contact with a…

Soft Condensed Matter · Physics 2024-02-27 Rubén Gómez González , Vicente Garzó

Stochastic difference equations and a stochastic partial differential equation (SPDE) are simultaneously derived for the time-dependent neutron angular density in a general three-dimensional medium where the neutron angular density is a…

Numerical Analysis · Mathematics 2010-04-16 Edward J. Allen

We review the properties of the nonlinearly dispersive Navier-Stokes-alpha (NS-alpha) model of incompressible fluid turbulence -- also called the viscous Camassa-Holm equations and the LANS equations in the literature. We first re-derive…

Chaotic Dynamics · Physics 2009-11-07 C. Foias , D. D. Holm , E. S. Titi

The problem of an accurate Eulerian-Lagrangian modeling of inertial particle dispersion in Large Eddy Simulation (LES) of turbulent wall-bounded flows is addressed. We run Direct Numerical Simulation (DNS) for turbulent channel flow at…

Fluid Dynamics · Physics 2009-11-13 C. Marchioli , M. V. Salvetti , A. Soldati

Boltzmann's principle S(E,N,V)=k\ln W relates the entropy to the geometric area e^{S(E,N,V)} of the manifold of constant energy in the N-body phase space. From the principle all thermodynamics and especially all phenomena of phase…

Statistical Mechanics · Physics 2007-05-23 D. H. E. Gross

We consider the inverse problem of reconstructing the scattering and absorption coefficients using boundary measurements for a time dependent radiative transfer equation (RTE). As the measurement is mostly polluted by errors, both…

Numerical Analysis · Mathematics 2017-08-11 Ke Chen , Qin Li , Li Wang

A model polydisperse fluid represents many real fluids such as colloidal suspensions and polymer solutions. In this study, considering a concentrated size-polydisperse hard sphere fluid with size derived from two different distribution…

Soft Condensed Matter · Physics 2022-11-23 Thokchom Premkumar Meitei , Lenin S. Shagolsem

We present a comprehensive computational study of the short-time transport properties of bidisperse neutral colloidal suspensions and the corresponding porous media. Our study covers bidisperse particle size ratios up to $4$, and total…

Soft Condensed Matter · Physics 2015-06-23 Mu Wang , John F. Brady

The burgeoning field of Bose-Einstein condensation in dilute alkali and hydrogen gases has stimulated a great deal of research into the statistical physics of weakly interacting quantum degenerate systems. The recent experiments offer the…

Condensed Matter · Physics 2009-10-31 J. E. Williams , M. J. Holland

A coarse-grained particle model for incompressible Navier-Stokes (NS) equation is proposed based on spatial filtering by utilizing smoothed particle hydrodynamics (SPH) approximations. This model is similar to our previous developed SPH…

Fluid Dynamics · Physics 2018-02-13 X. Y. Hu , N. A. Adams

The aforementioned celebrated model, though a breakthrough in Stochastic processes and a great step toward the construction of the Brownian motion leads to a paradox: infinite propagation speed and violation of the 2nd law of…

Analysis of PDEs · Mathematics 2022-09-13 Isanka Garli Hevage , Akif Ibragimov , Zeev Sobol

The problem of the transcritical flow of a Bose-Einstein condensate through a wide repulsive penetrable barrier is studied analytically using the combination of the localized "hydraulic" solution of the 1D Gross-Pitaevskii equation and the…

Other Condensed Matter · Physics 2013-05-29 A. M. Leszczyszyn , G. A. El , Yu. G. Gladush , A. M. Kamchatnov

There remains a useful relation between diffusion and mobility for a Langevin particle in a periodic medium subject to nonconservative forces. The usual fluctuation-dissipation relation easily gets modified and the mobility matrix is no…

Statistical Mechanics · Physics 2015-03-17 Marco Baiesi , Christian Maes , Bram Wynants

A self-consistent model of the superfluid (SF) state of a Bose liquid with strong interaction between bosons is considered, in which at T=0, along with a weak single-particle Bose-Einstein condensate (BEC), there exists an intensive pair…

Soft Condensed Matter · Physics 2007-05-23 E. A. Pashitskii , S. V. Mashkevich , S. I. Vilchynskyy

Molecular dynamics (MD) simulations represent a powerful investigation tool in the field of soft matter. By using shear flows, one can probe the bulk rheology of complex fluids, also beyond the linear response regime, in a way that imitates…

Soft Condensed Matter · Physics 2021-09-30 Sebastian Bindgen , Florian Weik , Rudolf Weeber , Erin Koos , Pierre de Buyl
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