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Heterogeneous diffusion processes are prevalent in various fields, including the motion of proteins in living cells, the migratory movement of birds and mammals, and finance. These processes are often characterized by time-varying dynamics,…

统计力学 · 物理学 2025-03-11 Michał Balcerek , Adrian Pacheco-Pozo , Agnieszka Wyłomańska , Diego Krapf

Recent progress in experimental techniques such as single particle tracking allows to analyze both nonequilibrium properties and approach to equilibrium. There are examples showing that processes occurring at finite timescales are…

统计力学 · 物理学 2025-01-24 I. G. Marchenko , I. I. Marchenko , J. Łuczka , J. Spiechowicz

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

In recent years, research and development in nanoscale science and technology have grown significantly, with electrical transport playing a key role. A natural challenge for its description is to shed light on anomalous behaviours observed…

种群与进化 · 定量生物学 2025-04-10 Sara Bernardi , Paolo Begnamino , Marco Pizzi , Lamberto Rondoni

Recent progresses in single particle tracking have shown evidences of non-Gaussian distribution of displacements in living cells, both near the cellular membrane and inside the cytoskeleton. A similar behavior has also been observed in…

生物物理 · 物理学 2019-05-30 Yann Lanoiselée , Denis S. Grebenkov

In a recent paper, Michael J. Saxton proposes to interpret as anomalous diffusion the occurrence of apparent transient sub-diffusive regimes in mean-squared displacements (MSD) plots, calculated from experimental trajectories of molecules…

亚细胞过程 · 定量生物学 2009-11-13 Nicolas Destainville , Aude Sauliere , Laurence Salome

Designing novel diffusion-weighted pulse sequences to probe tissue microstructure beyond the conventional Stejskal-Tanner family is currently of broad interest. One such technique, multidimensional diffusion MRI, has been recently proposed…

生物物理 · 物理学 2019-02-05 Sune Nørhøj Jespersen , Jonas Lynge Olesen , Andrada Ianuş , Noam Shemesh

In the present study we examine non-Gaussian spreading of solutes subject to advection, dispersion and kinetic sorption (adsorption/desorption). We start considering the behavior of a single particle and apply a random walk to describe…

Recent theoretical modeling offers a unified picture for the description of stochastic processes characterized by a crossover from anomalous to normal behavior. This is particularly welcome, as a growing number of experiments suggest the…

统计力学 · 物理学 2019-07-16 Fulvio Baldovin , Enzo Orlandini , Flavio Seno

We propose a practical empirical fitting function to characterize the non-Gaussian displacement distribution functions (DispD) often observed for heterogeneous diffusion problems. We first test this fitting function with the problem of a…

软凝聚态物质 · 物理学 2022-07-20 Le Qiao , Nicholas Ilow , Maxime Ignacio , Gary W. Slater

Non-Gaussian shapes, despite a linear form of the mean-squared displacement, have been observed for the displacement distribution in a large range of diffusive systems. Stochastic models for such "Brownian yet non-Gaussian" diffusion will…

统计力学 · 物理学 2022-04-05 R. Metzler , A. V. Chechkin

The passive and active motion of micron-sized tracer particles in crowded liquids and inside living biological cells is ubiquitously characterised by "viscoelastic" anomalous diffusion, in which the increments of the motion feature…

统计力学 · 物理学 2020-05-05 Wei Wang , Flavio Seno , Igor M. Sokolov , Aleksei V. Chechkin , Ralf Metzler

Diffusion is a fundamental physical phenomenon with critical applications in fields such as metallurgy, cell biology, and population dynamics. While standard diffusion is well-understood, anomalous diffusion often requires complex non-local…

统计力学 · 物理学 2026-01-16 Gabriel Barreiro , Vladimir Pérez-Veloz

We determine the diffusion length of excess carriers in GaN by spatially resolved cathodoluminescence spectroscopy utilizing a single quantum well as carrier collector or carrier sink. Monochromatic intensity profiles across the quantum…

A model for anomalous transport of tracer particles diffusing in complex media in two dimensions is proposed. The model takes into account the characteristics of persistent motion that active bath transfer to the tracer, thus the model…

统计力学 · 物理学 2025-07-24 Francisco J. Sevilla , Adriano Valdés-Gómez , Alexis Torres-Carbajal

Three-dimensional Monte Carlo simulations provide a striking confirmation to a recent theoretical prediction: the Brownian non-Gaussian diffusion of critical self-avoiding walks. Although the mean square displacement of the polymer center…

统计力学 · 物理学 2022-09-21 Boris Marcone , Sankaran Nampoothiri , Enzo Orlandini , Flavio Seno , Fulvio Baldovin

Optical beams propagating through atmospheric turbulence undergo spatiotemporal intensity fluctuations that deviate significantly from an ideal Gaussian profile. In this work, we present a unified theoretical and experimental framework for…

光学 · 物理学 2026-03-10 Shouvik Sadhukhan , C. S. Narayanamurthy

Using a discrete wavelet based space-scale decomposition (SSD), the spectrum of the skewness and kurtosis is developed to describe the non-Gaussian signatures in cosmologically interesting samples. Because the basis of the discrete wavelet…

天体物理学 · 物理学 2007-05-23 Jesus Pando , Li-Zhi Fang

Anomalous diffusion constitutes a relation between tracer flux and tracer density gradient that is inherently nonlocal in space and/or time. Previous studies emphasize the non-Gaussian character of the tracer distribution that arises from…

统计力学 · 物理学 2014-12-31 Bjorn Vermeersch , Ali Shakouri

We present a numerical simulation study of advective-diffusive scalar transport in three-dimensional high-contrast discontinuous permeability fields, generated with a truncated pluri-Gaussian geostatistical approach. A range of permeability…

地球物理 · 物理学 2022-06-16 Eugenio Pescimoro , Matteo Icardi , Giovanni Porta , Marco Bianchi
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