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MRI measurements from a decade-old study of the physical properties of brain tissue observed a dynamic, pulsating fluid flow in the interstitial spaces of the brain attributed to the cardiac cycle. The effects of this cyclic flow pattern on…

Medical Physics · Physics 2026-02-20 Raghu Raghavan , Richard D. Penn

We construct a class of one-dimensional diffusion processes on the particles of branching Brownian motion that are symmetric with respect to the limits of random martingale measures. These measures are associated with the extended extremal…

Probability · Mathematics 2018-11-07 Sebastian Andres , Lisa Hartung

The interdiffusion of a solvent into a polymer melt has been studied using large scale molecular dynamics and Monte Carlo simulation techniques. The solvent concentration profile and weight gain by the polymer have been measured as a…

Soft Condensed Matter · Physics 2009-11-10 Mesfin Tsige , Gary S. Grest

Despite a rigorous analysis of nonlinear electrohydrodynamics of a liquid droplet deformation in air, its influence on the surrounding gas phase has received less attention. We observed, air circulations created due to large deformation…

Fluid Dynamics · Physics 2022-03-08 Pramodt Srinivasula , Debabrat Biswal

We propose a solution for linear inverse problems based on higher-order Langevin diffusion. More precisely, we propose pre-conditioned second-order and third-order Langevin dynamics that provably sample from the posterior distribution of…

Machine Learning · Statistics 2023-12-08 Nicolas Zilberstein , Ashutosh Sabharwal , Santiago Segarra

We present a microfluidic method leading to accurate measurements of the mutual diffusion coefficient of a liquid binary mixture over the whole solute concentration range in a single experiment. This method fully exploits solvent…

Soft Condensed Matter · Physics 2017-09-21 Anne Bouchaudy , Charles Loussert , Jean-Baptiste Salmon

Diffusion in nonhomogeneous media is described by a dynamical process driven by a general Levy noise and subordinated to a random time; the subordinator depends on the position. This problem is approximated by a multiplicative process…

Statistical Mechanics · Physics 2015-06-18 Tomasz Srokowski

The combined impact of axial stretching and cross-stream diffusion on the downstream transport of solute is termed Taylor dispersion. The dispersion of active suspensions is qualitatively distinct: viscous and external torques can establish…

Soft Condensed Matter · Physics 2025-05-27 Hakan Osman Caldag , Martin Alan Bees

The downward flow in a vertical duct with one heated and three thermally insulated walls is analyzed numerically using the two-dimensional approximation valid in the asymptotic limit of an imposed strong transverse magnetic field. The work…

Fluid Dynamics · Physics 2018-12-05 Xuan Zhang , Oleg Zikanov

The hydrodynamic interaction of two deformable vesicles in shear flow induces a net displacement, in most cases an increase of their distance in the transverse direction. The statistical average of these interactions leads to shear-induced…

We investigate anomalous diffusion processes governed by the fractional Langevin equation and confined to a finite or semi-infinite interval by reflecting potential barriers. As the random and damping forces in the fractional Langevin…

Statistical Mechanics · Physics 2019-11-01 Thomas Vojta , Sarah Skinner , Ralf Metzler

A novel micromixing technique that exploit a thrust of droplets into the mixing interface is developed. The technique enhances the mixing by injecting immiscible droplets in a mixing channel and the methodology enables a control of the…

Fluid Dynamics · Physics 2023-03-28 Ryosuke Sakurai , Ken Yamamoto , Masahiro Motosuke

In this study we present an extension of the replicator equation with diffusion to multiplex graphs. We derive an exact formula for the diffusion term, which shows that, while diffusion is linear for numbers of agents, it is necessary to…

Physics and Society · Physics 2016-08-10 Rubén J. Requejo , Albert Díaz Guilera

A fluid droplet in general deforms, if subject to active driving, such as a finite slip velocity or active tractions on its interface. We show that these deformations and their dynamics can be computed analytically in a perturbation theory…

Soft Condensed Matter · Physics 2023-04-19 Reiner Kree , Annette Zippelius

The role of external forces in systems exhibiting anomalous diffusion is discussed on the basis of the describing Langevin equations. Since there exist different possibilities to include the effect of an external field the concept of {\it…

Statistical Mechanics · Physics 2015-05-13 S. Eule , R. Friedrich

This work describes an experimental investigation on the mixing induced by a swarm of high Reynolds number air bubbles rising through a nearly homogeneous and isotropic turbulent flow. The gas volume fraction $\alpha$ and the velocity…

Fluid Dynamics · Physics 2018-12-27 Elise Alméras , Varghese Mathai , Chao Sun , Detlef Lohse

Experiments on carrier recombination in two-dimensional organic structures are often interpreted in the frame of the Langevin model with taking into account only the drift of the charge carriers in their mutual electric field. While this…

Disordered Systems and Neural Networks · Physics 2012-01-10 A. V. Nenashev , F. Jansson , S. D. Baranovskii , R. Österbacka , A. V. Dvurechenskii , F. Gebhard

A model for diffusion in liquids that couples the dynamics of tracer particles to a fluctuating Stokes equation for the fluid is investigated in the limit of large Schmidt number. In this limit, the concentration of tracers is shown to…

Statistical Mechanics · Physics 2014-04-03 A. Donev , T. G. Fai , and E. Vanden-Eijnden

We study a system consisting of a particle adsorbed on a carbon nanotube resonator. The particle is allowed to diffuse along the resonator, in order to enable study of e.g. room temperature mass sensing devices. The system is initialized in…

Mesoscale and Nanoscale Physics · Physics 2014-10-17 Christin Edblom , Andreas Isacsson

The diffusive motion of colloidal particles dispersed in a premelting solid is analyzed within the framework of irreversible thermodynamics. We determine the mass diffusion coefficient, thermal diffusion coefficient and Soret coefficient of…

Soft Condensed Matter · Physics 2009-11-13 S. S. L. Peppin , M. Spannuth , J. S. Wettlaufer
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