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Developing effective descriptions of the microscopic dynamics of many physical phenomena can both dramatically enhance their computational exploration and lead to a more fundamental understanding of the underlying physics. Previously, an…

Statistical Mechanics · Physics 2015-05-13 Benjamin E. Sonday , Mikko Haataja , Ioannis G. Kevrekidis

Lattice-Boltzmann (LB) simulations are a common tool to numerically estimate the permeability of porous media. For valuable results, the porous structure has to be well resolved resulting in a large computational effort as well as high…

Fluid Dynamics · Physics 2011-09-16 Ariel Narváez , Jens Harting

Past work has shown that ions can pass through a membrane more readily in one direction than the other. We demonstrate here in a model and an experiment that for a mixture of small and large particles such asymmetric diffusion can arise…

Soft Condensed Matter · Physics 2009-11-13 Robert S. Shaw , Norman Packard , Matthias Schröter , Harry L. Swinney

We report a systematic study of xenon gas diffusion NMR in simple model porous media: random packs of mono-sized glass beads, and focus on three specific areas peculiar to gas-phase diffusion. These topics are: (i) diffusion of spins on the…

Soft Condensed Matter · Physics 2015-06-24 R. W. Mair , P. N. Sen , M. D. Hurlimann , S. Patz , D. G. Cory , R. L. Walsworth

Probing the transport of fluids within confined domains is important in many areas including material science, catalysis, food science, and cell biology. The diffusion propagator fully characterizes the diffusion process, which is highly…

We study segregation and stratification of mixtures of grains differing in size, shape and material properties poured in two-dimensional silos using a microscopic lattice model for surface flows of grains. The model incorporates the…

Statistical Mechanics · Physics 2009-10-31 Hernan A. Makse , Hans J. Herrmann

Capturing the structural changes that molecules undergo during chemical reactions in real space and time is a long-standing dream and an essential prerequisite for understanding and ultimately controlling femtochemistry. A key approach to…

We introduce and demonstrate the coarse-graining of static and dynamical properties of host-guest systems constituted by methane in two different microporous materials. The reference systems are mapped to occupancy-based pore-scale lattice…

Computational Physics · Physics 2019-08-05 Giovanni Pireddu , Federico G. Pazzona , Pierfranco Demontis , Magdalena A. Załuska-Kotur

Lattice diffusion and internal local magnetic field gradients in solids are investigated by numerical simulation of nuclear mangetic resonance(NMR) spin echo experiments. The Fourier-spectrum method is employed in order to solve the…

Materials Science · Physics 2015-06-25 Naoki Asakawa , Kiyohiko Matsubara , Yoshio Inoue

In this paper, we derive an effective model for transport processes in periodically perforated elastic media, taking into account, e.g., cyclic elastic deformations as they occur in lung tissue due to respiratory movement. The underlying…

Analysis of PDEs · Mathematics 2022-06-15 Jonas Knoch , Markus Gahn , Maria Neuss-Radu , Nicolas Neuß

We propose a description for transient penetration simulations of miscible and immiscible fluid mixtures into anisotropic porous media, using the lattice Boltzmann (LB) method. Our model incorporates hydrodynamic flow, diffusion, surface…

Soft Condensed Matter · Physics 2010-11-22 M. Mendoza , F. K. Wittel , H. J. Herrmann

We consider the NMR signal from a permeable medium with a heterogeneous Larmor frequency component that varies on a scale comparable to the spin-carrier diffusion length. We focus on the mesoscopic part of the transverse relaxation, that…

Mesoscale and Nanoscale Physics · Physics 2008-10-23 D. S. Novikov , V. G. Kiselev

Diffusion models generate new samples by progressively decreasing the noise from the initially provided random distribution. This inference procedure generally utilizes a trained neural network numerous times to obtain the final output,…

Conjugated organic molecules play a central role in a wide range of optoelectronic devices, including organic light-emitting diodes, organic field-effect transistors, and organic solar cells. A major bottleneck in the computational design…

The multiphase flow mechanism in miscible displacement through porous media is an important topic in various applications, such as petroleum engineering, low Reynolds number suspension flows, dusty gas dynamics, and fluidized beds. To…

Fluid Dynamics · Physics 2017-05-03 M. Jalal Ahammad , Jahrul M Alam

A model-free theoretical framework for a phenomenological description of spin-lattice relaxation by anomalous translational diffusion in inhomogeneous systems based on the fractional diffusion equation is developed. The dependence of the…

Soft Condensed Matter · Physics 2009-11-10 A. E. Sitnitsky , G. G. Pimenov , A. V. Anisimov

Current theories of diffusiophoresis in porous media are limited to a porous medium saturated with a valence symmetric electrolyte. A predictive model for diffusiophoresis in porous media saturated with a valence asymmetric electrolyte, or…

Soft Condensed Matter · Physics 2024-12-03 Siddharth Sambamoorthy , Henry C. W. Chu

Numerical micropermeametry is performed on three dimensional porous samples having a linear size of approximately 3 mm and a resolution of 7.5 $\mu$m. One of the samples is a microtomographic image of Fontainebleau sandstone. Two of the…

Disordered Systems and Neural Networks · Physics 2009-11-07 C. Manwart , U. Aaltosalmi , A. Koponen , R. Hilfer , J. Timonen

The local flow field and seepage induced drag obtained from Pore Network Models (PNM) is compared to Immersed Boundary Method (IBM) simulations, for a range of linear graded and bimodal samples. PNM were generated using a weighted Delaunay…

Fluid Dynamics · Physics 2022-01-11 Adnan Sufian , Chris Knight , Catherine O'Sullivan , Berend van Wachem , Daniele Dini

Gas permeation through nanoscale pores is ubiquitous in nature and plays an important role in a plethora of technologies. Because the pore size is typically smaller than the mean free path of gas molecules, their flow is conventionally…

Mesoscale and Nanoscale Physics · Physics 2018-06-25 A. Keerthi , A. K. Geim , A. Janardanan , A. P. Rooney , A. Esfandiar , S. Hu , S. A. Dar , I. V. Grigorieva , S. J. Haigh , F. C. Wang , B. Radha