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We introduce a phase-field model to describe the dynamics of a self-sustaining propagating combustion front within a medium of randomly distributed reactants. Numerical simulations of this model show that a flame front exists for reactant…

Condensed Matter · Physics 2009-10-22 N. Provatas , T. Ala-Nissila , Martin Grant , K. R. Elder , Luc Pich

We investigate the large time behavior of solutions of reaction-diffusion equations with general reaction terms in periodic media. We first derive some conditions which guarantee that solutions with compactly supported initial data invade…

Analysis of PDEs · Mathematics 2018-01-08 Romain Ducasse , Luca Rossi

The influence of the dissipative terms on the conditions of formation and the characteristic parameters of shock waves in relativistic nuclear collisions is investigated for three types of equation of state (non linear QHD-1, resonance gas…

Nuclear Theory · Physics 2009-10-28 L. Mornas , U. Ornik

Reaction fronts evolving in a porous medium exhibit a rich dynamical behaviour. In presence of an adverse flow, experiments show that the front slows down and eventually gets pinned, displaying a particular sawtooth shape. Extensive…

Disordered Systems and Neural Networks · Physics 2016-10-28 Thomas Gueudré , Awadhesh Kumar Dubey , Laurent Talon , Alberto Rosso

We report experiments investigating jamming fronts in a floating layer of cornstarch suspension. The suspension has a packing fraction close to jamming, which dynamically turns into a solid when impacted at a high speed. We show that the…

Soft Condensed Matter · Physics 2014-12-04 Ivo R. Peters , Heinrich M. Jaeger

We study the planar front solution for a class of reaction diffusion equations in multidimensional space in the case when the essential spectrum of the linearization in the direction of the front touches the imaginary axis. At the linear…

Analysis of PDEs · Mathematics 2017-12-11 Anna Ghazaryan , Yuri Latushkin , Xinyao Yang

Reducible oxides are widely used catalyst supports that can increase oxidation reaction rates by transferring their lattice oxygen at the metal-support interface. The interfacial oxidation process is typically described in terms of a…

Materials Science · Physics 2021-04-05 Joshua L. Vincent , Peter A. Crozier

We introduce and study a new class of fronts in finite particle number reaction-diffusion systems, corresponding to propagating up a reaction rate gradient. We show that these systems have no traditional mean-field limit, as the nature of…

Statistical Mechanics · Physics 2007-05-23 Elisheva Cohen , David A. Kessler , Herbert Levine

We study the formation, evolution and structure of dissipative fronts produced by overtaking collisions of relativistic streams, with emphasis on strongly magnetized flows. The evolution of the system is followed using analytical approach…

Astrophysics · Physics 2009-10-30 Amir Levinson , Maurice H. P. M. van Putten

The propagation of an interfacial crack front through a weak plane of a transparent Plexiglas block has been studied experimentally. A stable crack in mode I was generated by loading the system by an imposed displacement. The local…

Statistical Mechanics · Physics 2007-05-23 Knut Jorgen Maloy , Renaud Toussaint , Jean Schmittbuhl

We study the front propagation in Reaction-Diffusion systems whose reaction dynamics exhibits an unstable fixed point and chaotic or noisy behaviour. We have examined the influence of chaos and noise on the front propagation speed and on…

Statistical Mechanics · Physics 2009-11-07 Alessandro Torcini , Angelo Vulpiani , Andrea Rocco

The propagation of detonation waves in reactive media bounded by an inert, compressible layer is examined via computational simulations in two different geometries, axisymmetric cylinders and two dimensional, planar slabs. For simplicity,…

Fluid Dynamics · Physics 2015-04-16 Jianling Li , XiaoCheng Mi , Andrew J. Higgins

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

A general scheme has been proposed to study the critical behaviour of integrable interaction-round-a-face models with fixed boundary conditions. It has been shown that the boundary crossing symmetry plays an important role in determining…

Condensed Matter · Physics 2015-06-25 Yu-kui Zhou , Murray T. Batchelor

We consider planar traveling fronts between stable steady states in two-component singularly perturbed reaction-diffusion-advection equations, where a small quantity $\delta^2$ represents the ratio of diffusion coefficients. The fronts…

Analysis of PDEs · Mathematics 2023-10-24 Paul Carter

We present a study of dynamical scaling and front motion in a one dimensional system that describes Rayleigh-Benard convection in a rotating cell. We use a model of three competing modes proposed by Busse and Heikes to which spatial…

Condensed Matter · Physics 2016-08-31 R. Gallego , M. San Miguel , R. Toral

We employ a multiscale modeling approach to study the surface structure and composition of a Pd(100) model catalyst in reactive environments. Under gas phase conditions representative of technological CO oxidation (~1 atm, 300-600 K) we…

Materials Science · Physics 2007-05-23 Jutta Rogal , Karsten Reuter , Matthias Scheffler

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

The study investigates the response dynamics of premixed jet flames when incident with blast waves along the jet axis. In the present work, blast waves are generated using the wire-explosion technique. The generated blast wave interacts…

Fluid Dynamics · Physics 2024-04-22 Akhil Aravind , Gautham Vadlamudi , Saptarshi Basu

Autocatalytic reaction fronts between two reacting species in the absence of fluid flow, propagate as solitary waves. The coupling between autocatalytic reaction front and forced hydrodynamic flow may lead to stationary front whose velocity…

Pattern Formation and Solitons · Physics 2016-03-15 T. Chevalier , D. Salin , L. Talon