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It was conjectured recently that Statiscally Preserved Structures underlie the statistical physics of turbulent transport processes. We analyze here in detail the time-dependent (non compact) linear operator that governs the dynamics of…

混沌动力学 · 物理学 2009-11-07 Yoram Cohen , Thomas Gilbert , Itamar Procaccia

We report a first-principles study of static transport of localized waves in quasi-one-dimensional open media. We found that such transport, dominated by disorder-induced resonant transmissions, displays novel diffusive behavior. Our…

无序系统与神经网络 · 物理学 2015-05-18 Chu-Shun Tian , Sai-Kit Cheung , Zhao-Qing Zhang

Motivated by uncertainty quantification in natural transport systems, we investigate an individual-based transport process involving particles undergoing a random walk along a line of point sinks whose strengths are themselves independent…

统计力学 · 物理学 2016-10-26 Matthew J. Russell , Oliver E. Jensen , Tobias Galla

The statistics of charge transport across a tunnel junction with energy-dependent scattering is investigated. A model with quadratic dispersion relation is discussed in general and, independently, in the two limiting cases of a large…

介观与纳米尺度物理 · 物理学 2015-06-15 Vincent Beaud , Gian Michele Graf , Andrei V. Lebedev , Gordey B. Lesovik

Experimental results for passive tracer dispersion in the turbulent surface layer under convective conditions are presented. In this case, the dispersion of tracer particles is determined by the interplay of two mechanisms: buoyancy and…

混沌动力学 · 物理学 2014-08-26 Alex Skvortsov , Milan Jamriska , Timothy C DuBois

We study the experimental properties of exchange flows in a stratified inclined duct (SID), which are simultaneously turbulent, strongly stratified by a mean vertical density gradient, driven by a mean vertical shear, and continuously…

流体动力学 · 物理学 2022-03-14 Adrien Lefauve , P. F. Linden

By analyzing two Kinetically Constrained Models of supercooled liquids we show that the anomalous transport of a driven tracer observed in supercooled liquids is another facet of the phenomenon of dynamical heterogeneity. We focus on the…

统计力学 · 物理学 2016-07-06 Giacomo Gradenigo , Eric Bertin , Giulio Biroli

We study the statistical properties of the entropic optimal (self) transport problem for smooth probability measures. We provide an accurate description of the limit distribution for entropic (self-)potentials and plans as the…

统计理论 · 数学 2026-04-30 Gilles Mordant

Local diffusion coefficients in disordered systems such as spin glass systems and living cells are highly heterogeneous and may change over time. Such a time-dependent and spatially heterogeneous environment results in irreproducibility of…

统计力学 · 物理学 2016-12-21 Takuma Akimoto , Eiji Yamamoto

Self-similarity, a fractal characteristic of traffic flow dynamics, is widely recognized in transportation engineering and physics. However, its practical application in real-world traffic scenarios remains limited. Conversely, the traffic…

信号处理 · 电气工程与系统科学 2024-08-05 Shakib Mustavee , Shaurya Agarwal

The study of diffusion in Hamiltonian systems has been a problem of interest for a number of years. In this paper we explore the influence of self-consistency on the diffusion properties of systems described by coupled symplectic maps.…

Many studies on biological and soft matter systems report the joint presence of a linear mean-squared displacement and a non-Gaussian probability density exhibiting, for instance, exponential or stretched-Gaussian tails. This phenomenon is…

统计力学 · 物理学 2019-07-24 Jakub Ślęzak , Krzysztof Burnecki , Ralf Metzler

We study the effect of advection and small diffusion on passive tracers. The advecting velocity field is assumed to have mean zero and to possess time-periodic stream lines. Using a canonical transform to action-angle variables followed by…

流体动力学 · 物理学 2009-11-13 Tobias Schaefer , Andrew C. Poje , Jesenko Vukadinovic

The dispersion phenomenon of mass and heat transport in oscillatory flows has wide applications in environmental, physiological and microfluidic flows. The method of concentration moments is a powerful theoretical tool for analyzing…

流体动力学 · 物理学 2026-03-27 Weiquan Jiang , Guoqian Chen

There have been increasing reports that the diffusion coefficient of macromolecules depends on time and fluctuates randomly. Here, a novel method to elucidate the fluctuating diffusivity from trajectory data is developed. The time-averaged…

统计力学 · 物理学 2017-10-25 Tomoshige Miyaguchi

Optimal transport is widely used to learn distributions, enforce distributional constraints, and model uncertainty. In applications, transport losses are often computed from samples through tractable representations, such as one-dimensional…

最优化与控制 · 数学 2026-05-28 Tam Le

We study the diffusion of a tracer particle driven out-of-equilibrium by an external force and traveling in a dense environment of arbitrary density. The system evolves on a discrete lattice and its stochastic dynamics is described by a…

Probabilistic interpretation of transition from the dispersive transport regime to the quasi-Gaussian one in disordered semiconductors is given in terms of truncated Levy distributions. Corresponding transport equations with fractional…

无序系统与神经网络 · 物理学 2015-05-19 Renat T. Sibatov , Vladimir V. Uchaikin

We present the results of a numerical investigation of charged-particle transport across a synthesized magnetic configuration composed of a constant homogeneous background field and a multiscale perturbation component simulating an effect…

统计力学 · 物理学 2007-05-23 Francesco Chiaravalloti , Alexander V. Milovanov , Gaetano Zimbardo

We study the effect of a single driven tracer particle in a bath of other particles performing the random average process on an infinite line using a stochastic hydrodynamics approach. We consider arbitrary fixed as well as random initial…

统计力学 · 物理学 2016-11-03 A. Kundu , J. Cividini