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The Green-Kubo formula relates the spatial diffusion coefficient to the stationary velocity autocorrelation function. We derive a generalization of the Green-Kubo formula valid for systems with long-range or nonstationary correlations for…

Statistical Mechanics · Physics 2014-03-05 A. Dechant , E. Lutz , D. A. Kessler , E. Barkai

We conducted micro-gravity experiments to study the outcome of collisions between sub-mm-sized dust agglomerates consisting of \mu m-sized SiO2 monomer grains at velocities of several cm/s. Prior to the experiments, we used X-ray computer…

Earth and Planetary Astrophysics · Physics 2015-06-15 Stefan Kothe , Jürgen Blum , René Weidling , Carsten Güttler

A new microscopic formula for the viscosity of liquids and solids is derived rigorously from a first-principles (microscopically reversible) Hamiltonian for particle-bath atomistic motion. The derivation is done within the framework of…

Soft Condensed Matter · Physics 2024-04-17 Alessio Zaccone

We perform Brownian dynamics simulations for studying the self-diffusion in two-dimensional (2D) dusty plasma liquids, in terms of both mean-square displacement and velocity autocorrelation function (VAF). Super-diffusion of charged dust…

Plasma Physics · Physics 2009-02-25 Lu-Jing Hou , Alexander Piel , P. K. Shukla

The PlasmaKristall-4 experiment on the International Space Station allows for the study of the 3-dimensional interaction between plasma and dust particles. Previous simulations of the PK-4 environment have discovered fast moving ionization…

A variety of experimental techniques for the generation of subsonic/supersonic dust fluid flows and means of measuring such flow velocities are presented. The experiments have been carried out in a $\Pi-$shaped Dusty Plasma Experimental…

Plasma Physics · Physics 2016-11-23 S. Jaiswal , P. Bandyopadhyay , A. Sen

The tensile strength of small dusty bodies in the solar system is determined by the interaction between the composing grains. In the transition regime between small and sticky dust ($\rm \mu m$) and non cohesive large grains (mm), particles…

Earth and Planetary Astrophysics · Physics 2017-06-09 Grzegorz Musiolik , Caroline de Beule , Gerhard Wurm

The purpose of this study is to provide a reproducible framework in the use of the Green-Kubo formalism to extract transport coefficients. More specifically, in the case of shear viscosity, we investigate the limitations and technical…

Nuclear Theory · Physics 2018-07-04 J. -B. Rose , J. M. Torres-Rincon , D. Oliinychenko , A. Schäfer , H. Petersen

We report numerical simulations of strongly vibrated granular materials designed to mimic recent experiments performed both in presence [1] or absence [2] of gravity. We show that a model with impact velocity dependent restitution…

Statistical Mechanics · Physics 2015-06-24 Sean McNamara , Eric Falcon

The shear viscosity of a two-dimensional liquid-state dusty plasma was measured experimentally. A monolayer of highly charged polymer microspheres, with a Yukawa interaction, was suspended in a plasma sheath. Two counter-propagating Ar…

Soft Condensed Matter · Physics 2009-11-11 V. Nosenko , J. Goree

Forming macroscopic solid bodies in circumstellar discs requires local dust concentration levels significantly higher than the mean. Interactions of the dust particles with the gas must serve to augment local particle densities, and…

Earth and Planetary Astrophysics · Physics 2019-02-13 Holly L. Capelo , Jan Molacek , Michiel Lambrechts , John Lawson , Anders Johansen , Jurgen Blum , Eberhard Bodenschatz , Haitao Xu

In a laboratory, a two-dimensional complex (dusty) plasma consists of a low-density ionized gas containing a confined suspension of Yukawa-coupled plastic microspheres. For an initial crystal-like form, we report ideal gas behavior in this…

Plasma Physics · Physics 2013-07-03 Neil P. Oxtoby , Elias J. Griffith , Céline Durniak , Jason F. Ralph , Dmitry Samsonov

The aim of this study is to examine dust dynamics on a large scale and investigate the coupling of dust with gas fluid in the star formation process. We propose a method for calculating the dust trajectory in a gravitationally collapsing…

Astrophysics of Galaxies · Physics 2022-08-17 Shunta Koga , Yoshihiro Kawasaki , Masahiro N. Machida

We report an experimental observation of multiple co--rotating vortices in a extended dust column in the background of non--uniform diffused plasma. Inductively coupled RF discharge is initiated in the background of argon gas in the source…

Plasma Physics · Physics 2017-04-05 Mangilal Choudhary , S. Mukherjee , P. Bandyopadhyay

The ionization equation of state (IEOS) for a cloud of the dust particles in the low-pressure gas discharge under microgravity conditions is proposed. IEOS relates pairs of the parameters specific for the charged components of dusty plasma.…

Plasma Physics · Physics 2019-06-13 D. I. Zhukhovitskii

In the presence of gravity, the micron-sized charged dust particles in a complex (dusty) plasma are compressed into thin layers. However, under the microgravity conditions of the Plasma Kristall-4 (PK-4) experiment on the International…

The temperature dependence of the kinetic coefficients is obtained in the non-perturbative region with the help of Green-Kubo-type formulae in the model of massive gluon gas motivated by numerical results from simulations of lattice QCD.…

High Energy Physics - Phenomenology · Physics 2010-11-01 J. Cleymans , S. V. Ilyun , S. A. Smolyansky , G. M. Zinovjev

We derive an analytic expression for the shear viscosity of an ultra-relativistic gas in presence of both elastic $2\to 2$ and inelastic $2\leftrightarrow 3$ processes with isotropic differential cross sections. The derivation is based on…

High Energy Physics - Theory · Physics 2014-04-28 Andrej El , Francesco Lauciello , Christian Wesp , Ioannis Bouras , Zhe Xu , Carsten Greiner

The streaming instability, as an example of instabilities driven by particle feedback on a gas flow, has been proven to have a major role in controlling the formation of planetesimals. Here, we present experiments to approach this situation…

Earth and Planetary Astrophysics · Physics 2019-02-08 Niclas Schneider , Gerhard Wurm , Jens Teiser , Hubert Klahr , Vincent Carpenter

The Green-Kubo relation for two models of granular gases is discussed. In the Maxwell model in any dimension, the effective temperature obtained from the Green-Kubo relation is shown to be frequency independent, and equal to the average…

Soft Condensed Matter · Physics 2008-05-19 Guy Bunin , Yair Shokef , Dov Levine