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Related papers: Autocatalytic reaction front in a pulsative period…

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An autocatalytic reacting system with particles interacting at a finite distance is studied. We investigate the effects of the discrete-particle character of the model on properties like reaction rate, quenching phenomenon and front…

Statistical Mechanics · Physics 2009-11-13 Stefano Berti , Cristobal Lopez , Davide Vergni , Angelo Vulpiani

We study the effects of an external electric field on both the motion of the reaction zone and the spatial distribution of the reaction product, $C$, in an irreversible $A^- +B^+ \to C$ reaction-diffusion process. The electrolytes $A\equiv…

Other Condensed Matter · Physics 2009-11-10 I. Bena , F. Coppex , M. Droz , Z. Racz

Parallel flow in a Hele-Shaw cell occurs when two immiscible liquids flow with relative velocity parallel to the interface between them. The interface is unstable due to a Kelvin-Helmholtz type of instability in which fluid flow couples…

Soft Condensed Matter · Physics 2009-10-31 J. A. Miranda , M. Widom

This paper is devoted to reaction-diffusion equations with bistable nonlinearities depending periodically on time. These equations admit two linearly stable states. However, the reaction terms may not be bistable at every time. These may…

Analysis of PDEs · Mathematics 2015-07-23 Benjamin Contri

We study the generation of directed flow in the hydrodynamic expansion of the hot matter formed in ultrarelativistic heavy-ion collisions at 200GeV. The experimentally observed negative directed flow in a wide range of central…

Nuclear Theory · Physics 2010-05-28 Piotr Bozek , Iwona Wyskiel

Phoretic particles self-propel using self-generated physico-chemical gradients at their surface. Within a suspension, they interact hydrodynamically by setting the fluid around them into motion, and chemically by modifying the chemical…

Fluid Dynamics · Physics 2019-02-20 Eva Kanso , Sebastien Michelin

Two different ab initio potential energy surfaces are employed to investigate the efficiency of the rotational excitation channels for the polar molecular ion HeH$^+$ interacting with He atoms. We further use them to investigate the quantum…

We expand on a previous study of fronts in finite particle number reaction-diffusion systems in the presence of a reaction rate gradient in the direction of the front motion. We study the system via reaction-diffusion equations, using the…

Statistical Mechanics · Physics 2009-11-11 Elisheva Cohen , David A. Kessler , Herbert Levine

We present a theoretical study on pattern formation occurring in miscible fluids reacting by a second-order reaction $A + B \to S$ in a vertical Hele-Shaw cell under constant gravity. We have recently reported that concentration-dependent…

Fluid Dynamics · Physics 2019-09-25 Dmitry Bratsun

We study front propagation in the reaction diffusion process $\{A\stackrel{\epsilon}\to2A, A\stackrel {\epsilon_t}\to3A\}$ on a one dimensional (1d) lattice with hard core interaction between the particles. Using the leading particle…

Statistical Mechanics · Physics 2007-05-23 Niraj Kumar , Goutam Tripathy

This is a study of front dynamics in reaction diffusion systems near Nonequilibrium Ising-Bloch bifurcations. We find that the relation between front velocity and perturbative factors, such as external fields and curvature, is typically…

patt-sol · Physics 2009-10-28 Christian Elphick , Aric Hagberg , Ehud Meron

Dispersion curves to a oscillatory reaction-diffusion system with the self-consistent flow have obtained by means of numerical calculations. The flow modulates the shape of dispersion curves and characteristics of traveling waves. The point…

patt-sol · Physics 2007-05-23 Hiroyasu Yamada , Toshiyuki Nakagaki

We study the physics of wave propagation in a weakly ionised plasma, as it applies to the formation of multifluid, MHD shock waves. We model the plasma as separate charged and neutral fluids which are coupled by ion-neutral friction. At…

Astrophysics · Physics 2009-11-13 W. G. Roberge , Glenn E. Ciolek

We study the spreading and leveling of a gravity current in a Hele-Shaw cell with flow-wise width variations as an analog for flow {in fractures and horizontally heterogeneous aquifers}. Using phase-plane analysis, we obtain second-kind…

Fluid Dynamics · Physics 2021-09-15 Zhong Zheng , Aditya A. Ghodgaonkar , Ivan C. Christov

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

The formation of regular precipitate stripes in the wake of moving chemical reaction-diffusion fronts is investigated. Experiments on the $NaOH+CuCl_2$ reaction in PVA hydrogel yield stripes parallel or slightly oblique to the front that…

Materials Science · Physics 2007-05-23 Peter Hantz , Istvan Biro

An argon-xenon (Ar/Xe) plasma is used as a model system for complex plasmas. Based on this system, symmetric low-pressure capacitively coupled radio-frequency discharges are examined utilizing Particle-In-Cell/Monte Carlo Collisions…

Plasma Physics · Physics 2021-08-11 M. Klich , S. Wilczek , J. F. J. Janssen , R. P. Brinkmann , T. Mussenbrock , J. Trieschmann

It is well known that the Solar System is presently moving through a partially ionized local interstellar medium. This gives rise to a counter-flow situation requiring a consistent description of behaviour of the two fluids -- ions and…

Astrophysics · Physics 2009-11-10 H. J. Fahr , Maciej Bzowski

A local turbulence model is developed to study energy cascades in the heliosheath and outer heliosphere (OH) based on self-consistent two-dimensional fluid simulations. The model describes a partially ionized magnetofluid OH that couples a…

Space Physics · Physics 2015-05-14 Dastgeer Shaikh , G. P. Zank

We describe the accelerated propagation wave arising from a non-local reaction-diffusion equation. This equation originates from an ecological problem, where accelerated biological invasions have been documented. The analysis is based on…

Analysis of PDEs · Mathematics 2015-12-08 Nathanaël Berestycki , Clément Mouhot , Gaël Raoul