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We discuss the front propagation in the $A+B\rightarrow 2A$ reaction under subdiffusion which is described by continuous time random walks with a heavy-tailed power law waiting time probability density function. Using a crossover argument,…

Statistical Mechanics · Physics 2014-06-03 D. Froemberg , H. H. Schmidt-Martens , I. M. Sokolov , F. Sagués

Bubble curtains are line bubble plumes that are used to mitigate saltwater intrusion in shipping locks. When the lock gate that separates the saline seawater from the fresh river water is opened, a lock-exchange flow is initiated. Placing a…

Anti-phase and in-phase flickering modes of dual buoyant diffusion flames were numerically investigated and theoretically analyzed in this study. Inspired by the flickering mechanism of a single buoyant diffusion flame, for which the…

Fluid Dynamics · Physics 2019-05-29 Tao Yang , Xi Xia , Peng Zhang

We show that transport in the presence of entropic barriers exhibits peculiar characteristics which makes it distinctly different from that occurring through energy barriers. The constrained dynamics yields a scaling regime for the particle…

Statistical Mechanics · Physics 2009-11-11 D. Reguera , G. Schmid , P. S. Burada , J. M. Rubí , P. Hänggi

Spreading processes on top of active dynamics provide a novel theoretical framework for capturing emerging collective behavior in living systems. I consider run-and-tumble dynamics coupled with coagulation/decoagulation reactions that lead…

Statistical Mechanics · Physics 2025-05-29 Matteo Paoluzzi

Despite its high prevalence and impact on the lives of those affected, a complete understanding of the cause of inflammatory bowel disease (IBD) is lacking. In this paper, we investigate a novel mechanism which proposes that mutant…

Analysis of PDEs · Mathematics 2025-01-16 Blaine van Rensburg , David J. Needham , Fabian Spill , Alexandra Tzella

Mechanical metamaterials can be designed to exhibit unique mechanical properties, including tunable auxetic behavior as well as multi-stability, which arise from the geometry and configuration of the constituent building blocks.…

Soft Condensed Matter · Physics 2026-01-22 Jochem G. Meijer , Faadil Shaik , Heinrich M. Jaeger

Directed percolation (DP), a universality class of continuous phase transitions, has recently been established as a possible route to turbulence in subcritical wall-bounded flows. In canonical straight pipe or planar flows, the transition…

Fluid Dynamics · Physics 2024-07-03 Sébastien Gomé , Aliénor Rivière , Laurette S. Tuckerman , Dwight Barkley

From a simple model for the driven motion of a planar interface under the influence of a diffusion field we derive a damped nonlinear oscillator equation for the interface position. Inside an unstable regime, where the damping term is…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Alexander L. Korzhenevskii , Richard Bausch , Rudi Schmitz

Fronts are regions of transition from one state to another in a medium. They are present in many areas of science and applied mathematics, and modelling them and their evolution is often an effective way of treating the underlying phenomena…

High Energy Astrophysical Phenomena · Physics 2022-05-11 Theodore Steele , Kinwah Wu

A new category of front propagation problems is proposed in which a spreading instability evolves through a singular configuration before saturating. We examine the nature of this front for the viscous Rayleigh instability of a column of…

Condensed Matter · Physics 2009-10-28 Thomas R. Powers , Raymond E. Goldstein

We consider front propagation in a reactive Boussinesq system in an infinite vertical strip. We establish nonlinear stability of planar fronts for narrow domains when the Rayleigh number is not too large. Planar fronts are shown to be…

Chaotic Dynamics · Physics 2007-05-23 Peter Constantin , Alexander Kiselev , Lenya Ryzhik

Propagating fronts arising from bistable reaction-diffusion equations are a purely deterministic effect. Stochastic reaction-diffusion processes also show front propagation which coincides with the deterministic effect in the limit of small…

Statistical Mechanics · Physics 2015-05-20 E. Khain , Y. T. Lin , L. M. Sander

Time-varying flow-induced forces on bodies immersed in fluid flows play a key role across a range of natural and engineered systems, from biological locomotion to propulsion and energy-harvesting devices. These transient forces often arise…

Fluid Dynamics · Physics 2025-08-01 Suryansh Prakhar , Jung-Hee Seo , Rajat Mittal

Interstitial fluid flow is a feature of many solid tumours. In vitro Experiments have shown that such fluid flow can direct tumour cell movement upstream or downstream depending on the balance between the competing mechanisms of tensotaxis…

Cell Behavior · Quantitative Biology 2024-02-21 Yaron Ben-Ami , Joe M. Pitt-Francis , Philip K. Maini , Helen M. Byrne

The system under study is a reaction-diffusion equation in a horizontal strip, coupled to a diffusion equation on its upper boundary via an exchange condition of the Robin type. This class of models was introduced by H. Berestycki, L. Rossi…

Analysis of PDEs · Mathematics 2016-03-16 Laurent Dietrich , Jean-Michel Roquejoffre

We present analytical results for the biased diffusion of particles moving under a constant force in a randomly layered medium. The influence of this medium on the particle dynamics is modeled by a piecewise constant random force. The…

Statistical Mechanics · Physics 2010-02-10 S. I. Denisov , H. Kantz

Opposition flow control is a robust strategy that has been proved effective in turbulent wall-bounded flows. Its conventional setup consists of measuring wall-normal velocity in the buffer layer and opposing it at the wall. This work…

Fluid Dynamics · Physics 2022-02-16 Anna Guseva , Javier Jimenez

Dense particulate suspensions can not only increase their viscosity and shear thicken under external forcing, but also jam into a solid-like state that is fully reversible when the force is removed. An impact on the surface of a dense…

Soft Condensed Matter · Physics 2019-05-10 Endao Han , Liang Zhao , Nigel Van Ha , S. Tonia Hsieh , Daniel B. Szyld , Heinrich M. Jaeger

In this work, we implement a new experimental configuration which exploits the specific properties of the optical bistability exhibited by the polariton system and we demonstrate the generation of a superfluid turbulent flow in the wake of…

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