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The self-diffusion process in a dense liquid is influenced by collective particle movements. Extensive molecular dynamics simulations for liquid aluminium and rubidium evidence a crossover in the diffusion coefficient at about $1.4$ times…

Disordered Systems and Neural Networks · Physics 2024-12-03 Franz Demmel , Noel Jakse

We prove the emergence of stable fluctuations for reaction-diffusion in random environment with Weibull tails. This completes our work around the quenched to annealed transition phenomenon in this context of reaction diffusion. In [9], we…

Probability · Mathematics 2017-06-22 Gérard Ben Arous , Stanislav Molchanov , Alejandro F. Ramírez

Diffusion in an evolving environment is studied by continuos-time Monte Carlo simulations. Diffusion is modelled by continuos-time random walkers on a lattice, in a dynamic environment provided by bubbles between two one-dimensional…

Soft Condensed Matter · Physics 2010-11-22 Janne Juntunen , Juha Merikoski

Suspensions of low-diffusing particles in pipe flows exhibit a difference in age at different radial positions. Particles near the channel walls have higher residence times than the cross-sectional average. We quantify this effect using…

Fluid Dynamics · Physics 2025-09-25 Etienne Boulais , Richard D. Braatz

The diffusive transport of biased Brownian particles in a two-dimensional symmetric channel is investigated numerically considering both the no-flow and the reflection boundary conditions at the channel boundaries. Here, the geometrical…

Soft Condensed Matter · Physics 2019-09-10 Narender Khatri , P. S. Burada

The rotor-router walk model is proposed to describe the sub-diffusive behavior of double-strand breaks in chromatin caused by external factors such as heavy ions, $\gamma$-irradiation, etc. The mechanism of the double-strand breaks…

Statistical Mechanics · Physics 2022-12-21 Yevgeni Sh. Mamasakhlisov , Vladimir V. Papoyan

Measuring the rheology of liquids typically requires precise control over shear rates and stresses. Here, we describe an alternative route for predicting the characteristic features of a power-law fluid by simply observing the capillary…

Fluid Dynamics · Physics 2025-07-11 Marcel Moura , Vanessa Kern , Knut Jørgen Måløy , Andreas Carlson , Eirik G. Flekkøy

Anomalous diffusion occurs in many physical and biological phenomena, when the growth of the mean squared displacement (MSD) with time has an exponent different from one. We show that recurrent neural networks (RNN) can efficiently…

Statistical Mechanics · Physics 2019-07-24 Stefano Bo , Falko Schmidt , Ralf Eichhorn , Giovanni Volpe

We highlight a few recent results on the effect of the diffusion process in deterministic area preserving maps with noncompact phase space, namely the standard map. In more detail, we focus on the anomalous diffusion arising due to the…

Chaotic Dynamics · Physics 2015-01-09 T. Manos , M. Robnik

B diffusion measurements are used to probe the basic nature of self-interstitial 'point' defects in Ge. We find two distinct self-interstitial forms - a simple one with low entropy and a complex one with entropy ~30 k at the migration…

The diffusion of an artificial active particle in a two-dimensional periodic pattern of stationary convection cells is investigated by means of extensive numerical simulations. In the limit of large P\'eclet numbers, i.e., for…

Soft Condensed Matter · Physics 2020-02-17 Yunyun Li , Lihua Li , Fabio Marchesoni , Debajyoti Debnath , Pulak K. Ghosh

In this paper, a comprehensive examination of the temperature- and bias-dependent diffusion regimes of underdamped Brownian particles is presented. A temperature threshold for a transition between anomalous and normal diffusive behaviors is…

Statistical Mechanics · Physics 2021-11-16 Trey Jiron , Marygrace Prinster , Jarrod Schiffbauer

Two-dimensional networks of ordered quantum dots beyond the percolation threshold are studied, as typical example of conducting nanostructures with quenched random disorder. Theory predicts anomalous diffusion with stretched-exponential…

Statistical Mechanics · Physics 2016-01-06 Fabrizio Cleri

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…

Statistical Mechanics · Physics 2026-01-16 Gabriel Barreiro , Vladimir Pérez-Veloz

The experimental results relevant for the understanding of the microscopic dynamics in liquid metals are reviewed, with special regards to the ones achieved in the last two decades. Inelastic Neutron Scattering played a major role since the…

Disordered Systems and Neural Networks · Physics 2009-11-11 Tullio Scopigno , Giancarlo Ruocco , Francesco Sette

At finite Reynolds numbers, Re, particles migrate across laminar flow streamlines to their equilibrium positions in microchannels. This migration is attributed to a lift force, and the balance between this lift and gravity determines the…

We consider transport properties of the chaotic (strange) attractor along unfolded trajectories of the dissipative standard map. It is shown that the diffusion process is normal except of the cases when a control parameter is close to some…

Chaotic Dynamics · Physics 2009-11-13 G. M. Zaslavsky , M. Edelman

The transport phenomenon of active particles confined in 3D(three dimensional) corrugated confined channel with Gaussian noises is investigated. Large noise intensity perpendicular to the symmetry axis is good for the diffusion and current…

Soft Condensed Matter · Physics 2022-09-01 Bing Wang

Diffusion can be strongly affected by ballistic flights (long jumps) as well as long-lived sticking trajectories (long sticks). Using statistical inference techniques in the spirit of Granger causality, we investigate the appearance of long…

Statistical Mechanics · Physics 2014-12-02 S. Hallerberg , A. S. de Wijn

In this work, the effect of fluctuations in a disordered square lattice on diffusion of a test particle is studied using kinetic Monte Carlo simulations. Diffusion is relevant to a wide variety of problems, both within physics and outside…

Statistical Mechanics · Physics 2016-04-15 Robbert-Jan Dikken , Casper D. Versteylen