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Related papers: Is Fickian Yet Non-Gaussian Diffusion Ubiquitous?

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Fickian yet non-Gaussian diffusion (FnGD) has gained popularity in the recent times owing to it's ubiquity in a variety of complex fluids. However, whether FnGD can be observed experimentally in molecular fuids is still obscure with very…

Soft Condensed Matter · Physics 2025-04-22 H. Srinivasan , V. K. Sharma , S. Mitra

Fickian yet non-Gaussian diffusion is a ubiquitous phenomenon observed in various biological and soft matter systems. This anomalous dynamics is typically attributed to heterogeneous environments inducing spatiotemporal variations in the…

Statistical Mechanics · Physics 2025-03-20 Seongyu Park , Xavier Durang , Ralf Metzler , Jae-Hyung Jeon

A considerable number of systems have recently been reported in which Brownian yet non-Gaussian dynamics was observed. These are processes characterised by a linear growth in time of the mean squared displacement, yet the probability…

Statistical Mechanics · Physics 2018-11-26 V. Sposini , A. V. Chechkin , F. Seno , G. Pagnini , R. Metzler

We derive the distribution of particle currents for a system of interacting active Brownian particles in the long time limit using large deviation theory and a weighted many body expansion. We find the distribution is non-Gaussian, except…

Statistical Mechanics · Physics 2018-12-19 Trevor GrandPre , David T. Limmer

A Brownian particle floating in a narrow corrugated (sinusoidal) channel with fluctuating cross section exhibits non-Gaussian normal diffusion. Its displacements are distributed according to a Gaussian law for very short and asymptotically…

Statistical Mechanics · Physics 2019-10-09 Yunyun Li , Fabio Marchesoni , Debajyoti Debnath , Pulak K. Ghosh

We investigate Fickian diffusion in two-dimensional (2D) Yukawa liquids using molecular dynamics simulations. We compute the self-van Hove correlation function $G_s(r,t)$, and the self-intermediate scattering function $F_s(k,t)$ and compare…

Soft Condensed Matter · Physics 2021-04-13 Zahra Ghannad

Comment on `Fickian Non-Gaussian Diffusion in Glass-Forming Liquids', by Rusciano et al., Phys. Rev. Lett. 128, 168001 (2022). In a recent Letter, Rusciano et al. examined the statistics of individual particles displacements in…

Statistical Mechanics · Physics 2023-10-05 Ludovic Berthier , Elijah Flenner , Grzegorz Szamel

Fickian yet non-Gaussian diffusion is observed in several biological and soft matter systems, yet the underlying mechanisms behind the emergence of non-Gaussianity while retaining a linear mean square displacement remain speculative. Here,…

Soft Condensed Matter · Physics 2020-05-06 Indrani Chakraborty , Yael Roichman

Particles undergoing Fickian diffusion within smooth energy landscapes exhibit Gaussian statistics. However, this Gaussian behavior is often elusive in complex liquids, where particle dynamics within spontaneously fluctuating or…

Soft Condensed Matter · Physics 2025-11-12 Vinay Vaibhav , Tamoghna Das , Suman Dutta

In the last years, a few experiments in the fields of biological and soft matter physics in colloidal suspensions have reported normal diffusion with a Laplacian probability distribution in the particles displacements (i.e., Brownian yet…

Soft Condensed Matter · Physics 2023-11-22 Francisco E. Alban Chacón , Erick A. Lamilla Rubio , Manuel S. Alvarez Alvarado

According to the classical theory of Brownian motion, the mean squared displacement of diffusing particles evolves linearly with time whereas the distribution of their displacements is Gaussian. However, recent experiments on mesoscopic…

Soft Condensed Matter · Physics 2021-08-24 J. M. Miotto , S. Pigolotti , A. V. Chechkin , S. Roldán-Vargas

Brownian particles suspended in disordered crowded environments often exhibit non-Gaussian normal diffusion (NGND), whereby their displacements grow with mean square proportional to the observation time and non-Gaussian statistics. Their…

Statistical Mechanics · Physics 2021-01-19 Qingqing Yin , Yunyun Li , Fabio Marchesoni , Shubhadip Nayak , Pulak Ghosh

A growing number of biological, soft, and active matter systems are observed to exhibit normal diffusive dynamics with a linear growth of the mean squared displacement, yet with a non-Gaussian distribution of increments. Based on the…

Statistical Mechanics · Physics 2017-04-12 A. V. Chechkin , F. Seno , R. Metzler , I. M. Sokolov

We discuss the situations under which Brownian yet non-Gaussian (BnG) diffusion can be observed in the model of a particle's motion in a random landscape of diffusion coefficients slowly varying in space. Our conclusion is that such…

Statistical Mechanics · Physics 2020-01-15 E. B. Postnikov , A. Chechkin , I. M. Sokolov

Over a century ago, Einstein formulated a precise mathematical model for describing Brownian motion. While this model adequately explains the diffusion of micron-sized particles in fluids, its limitations become apparent when applied to…

Soft Condensed Matter · Physics 2025-04-22 Harish Srinivasan , V. K. Sharma , S. Mitra

A crossover from a non-Gaussian to Gaussian sub-diffusion has been observed ubiquitously in various polymeric/molecular glass-formers. We have developed a framework which generalizes the fractional Brownian motion (fBm) model to incorporate…

Soft Condensed Matter · Physics 2024-01-31 H. Srinivasan , V. K. Sharma , V. G. Sakai , S. Mitra

In many physical or biological systems, diffusion can be described by Brownian motions with stochastic diffusion coefficients (DCs). In the present study, we investigate properties of the diffusion with a broad class of stochastic DCs with…

Statistical Mechanics · Physics 2024-06-13 Go Uchida , Hitoshi Washizu , Hiromi Miyoshi

Herein we develop a dynamical foundation for fractional Brownian Motion. A clear relation is established between the asymptotic behaviour of the correlation function and diffusion in a dynamical system. Then, assuming that scaling is…

chao-dyn · Physics 2008-02-03 R Mannella , P Grigolini , BJ West

We present a study of the dynamics of small solute particles in a solvent medium where the solute is much smaller in size, mimicking the diffusion of small particles in crowded environment. The solute exhibits Fickian diffusion arising from…

Soft Condensed Matter · Physics 2017-04-12 Sayantan Acharya , Ujjwal Kumar Nandi , Sarika Maitra Bhattacharyya

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…

Biological Physics · Physics 2019-05-30 Yann Lanoiselée , Denis S. Grebenkov
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