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We investigate diffusion in a polydisperse granular media. We derive mean-squared displacement of granular particles in a polydisperse granular gas in a homogeneous cooling state, containing arbitrary amount of species of different sizes…

Soft Condensed Matter · Physics 2024-03-21 Anna S. Bodrova

Using random walk simulations we explore diffusive transport through monodisperse sphere packings over a range of packing fractions, $\phi$, in the vicinity of the jamming transition at $\phi_{c}$. Various diffusion properties are computed…

Statistical Mechanics · Physics 2015-09-02 Dan S. Bolintineanu , Gary S. Grest , Jeremy B. Lechman , Leonardo E. Silbert

Two kinetic models are proposed for high-temperature rarefied (or non-equilibrium) gas flows with radiation. One of the models uses the Boltzmann collision operator to model the translational motion of gas molecules, which has the ability…

Fluid Dynamics · Physics 2023-06-28 Qi Li , Jianan Zeng , Lei Wu

The self-diffusion coefficient of a granular gas in the homogeneous cooling state is analyzed near the shearing instability. Using mode-coupling theory, it is shown that the coefficient diverges logarithmically as the instability is…

Statistical Mechanics · Physics 2015-07-02 J. Javier Brey , Maria J. Ruiz-Montero

We demonstrate the densification of a granular model system of polystyrene spheres over time by shaking with varying excitation amplitudes or effective temperatures. This densification is quantified by the mean square displacement (MSD),…

Soft Condensed Matter · Physics 2025-08-05 Marlo Kunzner , Christopher Mayo , Matthias Sperl , Jan Philipp Gabriel

Many important properties of granular fluids can be represented by a system of hard spheres with inelastic collisions. Traditional methods of nonequilibrium statistical mechanics are effective for analysis and description of the inelastic…

Soft Condensed Matter · Physics 2009-11-07 James W. Dufty , J. Javier Brey , James Lutsko

Studies of the transport of wet water vapour are relevant for various areas of human activity, including the construction and production of building materials, mining, agriculture, environmental safety of technological processes, scientific…

Soft Condensed Matter · Physics 2019-01-23 E. G. Nikonov , M. Popovičová

The transport coefficients of a dilute gas of inelastic hard spheres immersed in a molecular gas are determined. We assume that the number density of the granular gas is much smaller than that of the surrounding molecular gas, so that the…

Soft Condensed Matter · Physics 2022-06-07 Rubén Gómez González , Vicente Garzó

The linear response description for impurity diffusion in a granular fluid undergoing homogeneous cooling is developed in the preceeding paper. The formally exact Einstein and Green-Kubo expressions for the self-diffusion coefficient are…

Soft Condensed Matter · Physics 2009-11-07 James Lutsko , J. Javier Brey , James W. Dufty

Particle beds are widely used in various systems and processes, such as particle heat exchangers, granular flow reactors, and additive manufacturing. Accurate modeling of thermal conductivity of particle beds and understanding of their heat…

Materials Science · Physics 2021-11-10 Jian Zeng , Ka Man Chung , Xintong Zhang , Sarath Adapa , Tianshi Feng , Yu Pei , Renkun Chen

Atomic diffusion affects the properties of various engineering materials, which predominantly occur in the polycrystalline state. A rigorous description of polycrystalline diffusion must therefore account for crystallographic defects,…

Materials Science · Physics 2025-10-21 Lena Scholz , Yongliang Ou , Blazej Grabowski , Felix Fritzen

The prediction of diffusion in solids is necessary to understand the microstructure evolution in materials out of equilibrium. Although one can reasonably predict diffusive transport coefficients using atomistic methods, these approaches…

Materials Science · Physics 2025-08-07 Jacob Jeffries , Emilio Mendoza Reyes , Fadi Abdeljawad , Murray Daw , Enrique Martinez

Shale gas recovery has seen a major boom in recent years due to the increasing global energy demands; but the extraction technologies are very expensive. It is therefore important to develop realistic transport modelling and simulation…

Fluid Dynamics · Physics 2016-10-18 Iftikhar Ali , Nadeem A. Malik

A hybrid numerical model previously developed for combustion simulations is extended in this article to describe flame propagation and stabilization in porous media. The model, with a special focus on flame/wall interaction processes, is…

Fluid Dynamics · Physics 2023-07-12 S. A. Hosseini , Dominique Thevenin

The diffusion of tracer particles immersed in a granular gas under uniform shear flow (USF) is analyzed within the framework of the inelastic Boltzmann equation. Two different but complementary approaches are followed to achieve exact…

Soft Condensed Matter · Physics 2026-01-01 David González Méndez , Vicente Garzó

Aqueous foams and a wide range of related systems are believed to coarsen by gas diffusion between neighboring domains into a statistically self-similar scaling state, after the decay of initial transients, such that dimensionless size and…

Soft Condensed Matter · Physics 2023-09-19 Anthony T. Chieco , Douglas J. Durian

We present results from a detailed simulation of a quasi-2D dissipative granular gas, kept in a non-condensed steady state via vertical shaking over a rough substrate. This gas shows a weak power-law decay in the tails of its Pair…

Soft Condensed Matter · Physics 2015-05-19 J. A. Perera-Burgos , G. Perez-Angel , Y. Nahmad-Molinari

We propose to revisit the diffusion of atoms in the Knudsen regime in terms of a complex dynamical reflection process. By means of molecular dynamics simulation we emphasize the asymptotic nature of the cosine law of reflection at the…

Statistical Mechanics · Physics 2009-11-13 Franck Celestini , Fabrice Mortessagne

Molecular dynamics simulations are a powerful tool to study diffusion processes in battery electrolyte and electrode materials. From a single molecular dynamics simulation many properties relevant to diffusion can be obtained, including the…

Chemical Physics · Physics 2018-07-09 Niek J. J. de Klerk , Eveline van der Maas , Marnix Wagemaker

We consider transport diffusion in a stochastic billiard in a random tube which is elongated in the direction of the first coordinate (the tube axis). Inside the random tube, which is stationary and ergodic, non-interacting particles move…

Probability · Mathematics 2010-04-13 Francis Comets , Serguei Popov , Gunter M. Schütz , Marina Vachkovskaia