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The aim of the paper is to discuss the main characteristics of a complete theoretical and numerical model for turbulent polydispersed two-phase flows, pointing out some specific issues. The theoretical details of the model have already been…

流体动力学 · 物理学 2015-05-19 J. P. Minier , E. Peirano , S. Chibbaro

For reproducing the anomalous -- i.e., sub- or super-diffusive -- behavior in some stochastic dynamical systems, the Generalized Langevin Equation (GLE) has gained considerable popularity in recent years. Motivated by the question whether…

软凝聚态物质 · 物理学 2010-02-05 Debabrata Panja

One key issue in the probability density function (PDF) approach for disperse two-phase turbulent flows is to close the diffusion term in the phase space. This study aimed to derive a kinetic equation for particle dispersion in turbulent…

统计力学 · 物理学 2020-07-15 De-yu Zhong , Guang-qian Wang , Tie-jian Li , Ming-xi Zhang , You Xia

The Generalized Langevin Equation (GLE) is a Stochastic Integro-Differential Equation that is commonly used to describe the velocity of microparticles that move randomly in viscoelastic fluids. Such particles commonly exhibit what is known…

概率论 · 数学 2017-11-03 Scott A McKinley , Hung D Nguyen

We consider the generalized Langevin equation (GLE) in a harmonic potential with power law decay memory. We study the anomalous diffusion of the particle's displacement and velocity. By comparison with the free particle situation in which…

概率论 · 数学 2023-08-02 Gustavo Didier , Hung D. Nguyen

In Physica A vol 387(24) (2008) pp6079-6094 [1], a kinetic equation for gas flows was proposed that leads to a set of four macroscopic conservation equations, rather than the traditional set of three equations. The additional equation…

数学物理 · 物理学 2012-04-10 S. Kokou Dadzie , Jason M. Reese

The generalized Langevin equation (GLE) is a stochastic integro-differential equation that has been used to describe the velocity of microparticles in viscoelastic fluids. In this work, we consider the large-time asymptotic properties of a…

概率论 · 数学 2020-01-30 Nathan Glatt-Holtz , David Herzog , Scott McKinley , Hung Nguyen

The paper deals with the description of particle deposition on walls from a turbulent flow over a large range of particle diameter, using a Langevin PDF model. The first aim of the work is to test how the present Langevin model is able to…

流体动力学 · 物理学 2008-06-27 Sergio Chibbaro , Jean-Pierre Minier

A description of many-particle systems, which is more fundamental than the fluid approach, is to consider them as a kinetic gas. In this approach the dynamical variable in which the properties of the system are encoded, is the distribution…

广义相对论与量子宇宙学 · 物理学 2020-09-08 Manuel Hohmann , Christian Pfeifer , Nicoleta Voicu

Equation for anomalous diffusion in momentum space, recently obtained in the recent paper (S.A. Trigger, ArXiv 0907.2793 v1, [cond-matt. stat.-mech.], 16 July 2009) is solved for the stationary and non-stationary cases on basis of the…

统计力学 · 物理学 2009-09-08 S. A. Trigger

Current understanding of the kinetic-scale turbulence in weakly-collisional plasmas still remains elusive. We employ a general framework in which the turbulent energy transfer is envisioned as a scale-to-scale Langevin process. Fluctuations…

In probability density function (PDF) methods a transport equation is solved numerically to compute the time and space dependent probability distribution of several flow variables in a turbulent flow. The joint PDF of the velocity…

流体动力学 · 物理学 2010-06-04 J. Bakosi , P. Franzese , Z. Boybeyi

Recent rapid advances in single particle tracking and supercomputing techniques resulted in an unprecedented abundance of diffusion data exhibiting complex behaviours, such the presence of power law tails of the msd and memory functions,…

统计力学 · 物理学 2018-10-08 Jakub Ślęzak

Probability Distributions Functions (PDFs) of fluctuations of plasma edge parameters are skewed curves fairly different from normal distributions, whose shape appears almost independent of the plasma conditions and devices. We start from a…

等离子体物理 · 物理学 2009-04-23 F. Sattin

A kinetic-fluid model describing the evolutions of disperse two-phase flows is considered. The model consists of the Vlasov-Fokker-Planck equation for the particles (disperse phase) coupled with the compressible Navier-Stokes equations for…

偏微分方程分析 · 数学 2017-04-06 Fucai Li , Yanmin Mu , Dehua Wang

In this paper a one-dimensional model of two infinite gases separated by a movable heavy piston is considered. The non-linear Langevin equation for the motion of the piston is derived from first principles for the case when the…

统计力学 · 物理学 2016-08-31 Alexander Plyukhin , Jeremy Schofield

A linearised kinetic equation describing electrostatic perturbations of a Maxwellian equilibrium in a weakly collisional plasma forced by a random source is considered. The problem is treated as a kinetic analogue of the Langevin equation…

等离子体物理 · 物理学 2019-02-20 A. Kanekar , A. A. Schekochihin , W. Dorland , N. F. Loureiro

Many fluctuation-driven phenomena in fluids can be analysed effectively using the generalised Lagrangian mean (GLM) theory of Andrews & McIntyre (1978). This theory relies on particle-following averaging to incorporate the constraints…

流体动力学 · 物理学 2017-12-11 A. D. Gilbert , J. Vanneste

We investigate the influence of a self-propelling, out-of-equilibrium active particle on generalized elastic systems, including flexible and semiflexible polymers, fluid membranes, and fluctuating interfaces, while accounting for…

软凝聚态物质 · 物理学 2024-01-25 Alessandro Taloni

Fractional generalized Langevin equation with external force is used to model single-file diffusion. It is found that for external force that varies with power law the solution for such a fractional Langevin equation gives the correct short…

数学物理 · 物理学 2015-05-14 C. H. Eab , S. C. Lim
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