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Nano-scale fluid transport has vast applications spanning from water desalination to biotechnology [1,2]. It is possible to pump fluids in nano-conduits using pressure gradients [3], thermal methods [4], electric [5,6] and magnetic fields…

Mesoscale and Nanoscale Physics · Physics 2019-01-09 Yigit Akkus , Ali Beskok

We consider the long-time behavior of a diffusion process on $\mathbb{R}^d$ advected by a stationary random vector field which is assumed to be divergence-free, dihedrally symmetric in law and have a log-correlated potential. A special case…

Probability · Mathematics 2024-09-19 Scott Armstrong , Ahmed Bou-Rabee , Tuomo Kuusi

We consider a particle diffusing in the y-direction, dy/dt=\eta(t), subject to a transverse shear flow in the x-direction, dx/dt=f(y), where x \ge 0 and x=0 is an absorbing boundary. We treat the class of models defined by f(y) = \pm…

Statistical Mechanics · Physics 2009-11-10 Alan J. Bray , Panos Gonos

Anisotropic diffusion processes emerge in various fields such as transport in biological tissue and diffusion in liquid crystals. In such systems, the motion is described by a diffusion tensor. For a proper characterization of processes…

Data Analysis, Statistics and Probability · Physics 2013-11-14 Mario Heidernätsch , Michael Bauer , Günter Radons

We present a versatile setup for investigating the nanofluidic behavior of nanoparticles as a function of the gap distance between two confining surfaces. The setup is designed as an open system which operates with small amounts of…

Soft Condensed Matter · Physics 2017-01-17 Stefan Fringes , Felix Holzner , Armin W. Knoll

Mathematically modeling complex transport phenomena at the molecular level can be a powerful tool for identifying transport mechanisms and predicting macroscopic properties. We use two different stochastic time series models, parameterized…

Soft Condensed Matter · Physics 2020-09-11 Benjamin J. Coscia , Michael R. Shirts

We report numerical simulations of a strongly biased diffusion process on a one-dimensional substrate with directed shortcuts between randomly chosen sites, i.e. with a small-world-like structure. We find that, unlike many other dynamical…

Statistical Mechanics · Physics 2009-11-07 Damian H. Zanette

The dynamics of red blood cells (RBCs) in oscillatory shear flow was studied using differential equations of three variables: a shape parameter, the inclination angle $\theta$, and phase angle $\phi$ of the membrane rotation. In steady…

Soft Condensed Matter · Physics 2010-06-24 Hiroshi Noguchi

Particles transported in fluid flows, such as cells, polymers, or nanorods, are rarely spherical. In this study, we numerically and theoretically investigate the dispersion of an initially localized patch of passive elongated Brownian…

Fluid Dynamics · Physics 2021-09-15 Ajay Harishankar Kumar , Stuart J. Thomson , Thomas R. Powers , Daniel M. Harris

Transport phenomena of microswimmers in fluid flows play a crucial role in various biological processes, including bioconvection and cell sorting. In this paper, we investigate the dispersion behavior of chiral microswimmers in a simple…

Fluid Dynamics · Physics 2024-03-14 Keito Ogawa , Kenta Ishimoto

We use a custom shear cell coupled to an optical microscope to investigate at the particle level the yielding transition in concentrated emulsions subjected to an oscillatory shear deformation. By performing experiments lasting thousands of…

Soft Condensed Matter · Physics 2014-08-27 E. D. Knowlton , D. J. Pine , L. Cipelletti

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

The evolution of granular shear flow is investigated as a function of height in a split-bottom Couette cell. Using particle tracking, magnetic-resonance imaging, and large-scale simulations we find a transition in the nature of the shear as…

Diffusive dynamics abound in nature and have been especially studied in physical, biological, and financial systems. These dynamics are characterised by a linear growth of the mean squared displacement (MSD) with time. Often, the conditions…

Statistical Mechanics · Physics 2025-11-14 Alvaro Lanza , Xiang Qu , Stefano Bo

We consider the evolution of a passive scalar advected by a parallel shear flow in an infinite cylinder with bounded cross section, in arbitrary space dimension. The essential parameters of the problem are the molecular diffusivity $\nu$,…

Analysis of PDEs · Mathematics 2023-05-23 Michele Coti Zelati , Thierry Gallay

Addition of particles to a viscoelastic suspension dramatically alters the properties of the mixture, particularly when it is sheared or otherwise processed. Shear-induced stretching of the polymers results in elastic stress that causes a…

Soft Condensed Matter · Physics 2023-06-28 Sijie Sun , Nan Xue , Stefano Aime , Hyoungsoo Kim , Jizhou Tang , Gareth H. McKinley , Howard A. Stone , David A. Weitz

We show by means of continuum theory and simulations that geometric percolation in uniaxial nematics of hard slender particles is fundamentally different from that in isotropic dispersions. In the nematic, percolation depends only very…

Soft Condensed Matter · Physics 2019-03-07 Shari P. Finner , Tanja Schilling , Paul van der Schoot

The maximum spreading of an impacting liquid drop is a key metric for characterizing the fundamental fluid process of drop impact. While extensively studied for Newtonian liquids, how far a non-Newtonian drop can spread upon impacting a…

Fluid Dynamics · Physics 2025-04-01 Anahita Mobaseri , Satish Kumar , Xiang Cheng

A theoretical framework for the calculation of shear and bulk viscosities of hadronic matter at finite temperature is presented. The framework is based on the quasi-particle picture. It allows for an arbitrary number of hadron species with…

Nuclear Theory · Physics 2011-02-01 P. Chakraborty , J. I. Kapusta

The nonequilibrium hydrodynamic correlations of a Multiparticle-Collision-Dynamics (MPC) fluid in shear flow are studied by analytical calculations and simulations. The Navier-Stokes equations for a MPC fluid are linearized about the shear…

Statistical Mechanics · Physics 2015-11-24 Anoop Varghese , Chien-Cheng Huang , Roland G. Winkler , Gerhard Gompper