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The pioneering work of G.I. Taylor on the turbulent dispersion of aerosols is exactly one century old and provides an original way of introducing both diffusive processes and turbulence at an undergraduate level. Light enough particles…

Due to network operation and maintenance relying heavily on network traffic monitoring, traffic matrix analysis has been one of the most crucial issues for network management related tasks. However, it is challenging to reliably obtain the…

Networking and Internet Architecture · Computer Science 2024-12-02 Xinyu Yuan , Yan Qiao , Zhenchun Wei , Zeyu Zhang , Minyue Li , Pei Zhao , Rongyao Hu , Wenjing Li

We consider the problem of approximating the Langevin dynamics of inertial particles being transported by a background flow. In particular, we study an acceleration corrected advection-diffusion approximation to the Langevin dynamics, a…

Probability · Mathematics 2026-02-24 Yoichiro Mori , Chanoknun Sintavanuruk , Truong-Son P. Van

The effect of electrostatic microturbulence on fast particles rapidly decreases at high energy, but can be significant at moderate energy. Previous studies found that, in addition to changes in the energetic particle density, this results…

Plasma Physics · Physics 2018-12-26 George J. Wilkie

We investigate the mean electromotive force in the kinematic framework, that is, ignoring the back-reaction of the magnetic field on the fluid velocity, under the assumption of axisymmetric turbulence determined by the presence of either…

Solar and Stellar Astrophysics · Physics 2012-02-23 A. Brandenburg , K. -H. Rädler , K. Kemel

Periodically driven coherent conductors provide a universal platform for the development of quantum transport devices. Here, we lay down a comprehensive theory to describe the thermodynamics of these systems. We first focus on moderate…

Mesoscale and Nanoscale Physics · Physics 2021-04-15 Elina Potanina , Christian Flindt , Michael Moskalets , Kay Brandner

We provide an asymptotic analysis of linear transport problems in the diffusion limit under minimal regularity assumptions on the domain, the coefficients, and the data. The weak form of the limit equation is derived and the convergence of…

Analysis of PDEs · Mathematics 2014-07-31 Herbert Egger , Matthias Schlottbom

Cosmic-ray transport in astrophysical environments is often dominated by the diffusion of particles in a magnetic field composed of both a turbulent and a mean component. This process, which is two-fold turbulent mixing in that the particle…

High Energy Astrophysical Phenomena · Physics 2021-12-14 P. Reichherzer , L. Merten , J. Dörner , J. Becker Tjus , M. J. Pueschel , E. G. Zweibel

The nature of particle and entropy flow between two superfluids is often understood in terms of reversible flow carried by an entropy-free, macroscopic wavefunction. While this wavefunction is responsible for many intriguing properties of…

We revisit the applications of quasi-linear theory as a paradigmatic model for weak plasma turbulence and the associated bump-on-tail problem. The work, presented here, is built around the idea that large-amplitude or strongly shaped beams…

Rectified transport of active ellipsoidal particles is numerically investigated in a two-dimensional asymmetric potential. The out-of-equilibrium condition for the active particle is an intrinsic property, which can break thermodynamical…

Soft Condensed Matter · Physics 2015-05-12 Bao-quan Ai , Jian-chun Wu

Transport and acceleration of charged particles in turbulent media is a topic of great interest in space physics and interstellar astrophysics. These processes are dominated by the scattering of particles off magnetic irregularities. The…

Space Physics · Physics 2016-12-28 A. Ivascenko , S. Lange , F. Spanier , R. Vainio

We discuss a new phenomenon of turbulent thermal diffusion associated with turbulent transport of aerosols in the atmosphere and in laboratory experiments. The essence of this phenomenon is the appearance of a nondiffusive mean flux of…

Astrophysics · Physics 2020-01-29 A. Eidelman , T. Elperin , N. Kleeorin , A. Krein , I. Rogachevskii , J. Buchholz , G. Gruenefeld

This article is an invitation. It is, first, an invitation to consider as a subject worthy of attention the wide range of situations where small discrete elements, either bubbles, droplets or solid particles, are embedded in turbulent…

Fluid Dynamics · Physics 2023-11-06 Jean-Pierre Minier , Christophe Henry

We study of the effect of turbulence on diffusion processes within magnetized medium. While we exemplify our treatment with heat transfer processes, our results are quite general and are applicable to different processes, e.g. diffusion of…

Astrophysics · Physics 2008-11-26 Alex Lazarian

It is very important to understand stochastic diffusion of energetic charged particles in non-uniform background magnetic field in plasmas of astrophysics and fusion devices. Using different methods considering along-field adiabatic…

Space Physics · Physics 2018-12-12 J. F. Wang , G. Qin

The existence of net flux across the nanochannels under the asymmetrical static electric fields obtained at room temperature from molecular dynamics (MD) simulations [Nat. Nanotechnol. 2, 709 (2007); Phys. Rev. Lett. 101, 064502 (2008)] has…

Statistical Mechanics · Physics 2012-07-17 Haiping Fang , Rongzheng Wan

In the present study, we conduct direct numerical simulations of two-way force-coupled particle-laden compressible turbulent boundary layers at the free-stream Mach number of 2.0 for the purpose of examining the effects of particles on the…

Fluid Dynamics · Physics 2024-07-01 Ming Yu , Yibin Du , Qian Wang , Siwei Dong , Xianxu Yuan

We find and investigate via numerical simulations self-sustained two-dimensional turbulence in a magnetohydrodynamic flow with a maximally simple configuration: plane, noninflectional (with a constant shear of velocity) and threaded by a…

Plasma Physics · Physics 2014-10-01 G. R. Mamatsashvili , D. Z. Gogichaishvili , G. D. Chagelishvili , W. Horton

We consider the problem of optimizing heat transport through an incompressible fluid layer. Modeling passive scalar transport by advection-diffusion, we maximize the mean rate of total transport by a divergence-free velocity field. Subject…

Analysis of PDEs · Mathematics 2019-09-18 Charles R. Doering , Ian Tobasco