Autocatalytic Reaction Fronts Inside a Porous Medium of Glass Spheres

Atis, Severine; Saha, Sandeep; Auradou, Harold; Salin, D.; Talon, Laurent

doi:10.1103/physrevlett.110.148301

Cited by 39 publications

(49 citation statements)

References 19 publications

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“…They experimentally measured the two scaling exponents α and β for the four regimes and found that those for the SD and AD regimes are consistent with the KPZ-class exponents α = 1/2 and β = 1/3, while for the AS regime + they found 0.6 α, β 0.7, close to the values for the quenched KPZ class [117]. The appearance of the KPZ class and the + In the AS regime, front profiles are eventually frozen, forming a sawtoothlike pattern [116]. At a given time before the complete formation of the final pattern, some parts of the front are already frozen, while others are still evolving.…”

Section: Fronts Of Chemical Waves In Disordered Media Another Very Rementioning

confidence: 72%

Experimental approaches to universal out-of-equilibrium scaling laws: turbulent liquid crystal and other developments

Takeuchi¹

2014

J. Stat. Mech.

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This is a brief survey of recent experimental studies on out-ofequilibrium scaling laws, focusing on two prominent situations where non-trivial universality classes have been identified theoretically: absorbing-state phase transitions and growing interfaces. First the article summarizes main results obtained for electrically-driven turbulent liquid crystal, which exhibited the scaling laws for the directed percolation class at the transition between two turbulent regimes, and those for the Kardar-Parisi-Zhang class in the supercritical phase where one turbulent regime invades the other. Other experimental investigations on these universality classes and related situations are then overviewed and discussed. Some remarks on analyses of these scaling laws are also given from the practical viewpoints.

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Section: Fronts Of Chemical Waves In Disordered Media Another Very Rementioning

confidence: 72%

Experimental approaches to universal out-of-equilibrium scaling laws: turbulent liquid crystal and other developments

Takeuchi¹

2014

J. Stat. Mech.

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“…Prominent examples of front propagation include catalytic oxidation of carbon monoxide (CO) on platinum single crystal surfaces [7][8][9][10], arrays of coupled chemical reactors [11], and nematic liquid crystals [12]. Often, the medium that supports front propagation exhibits a complex shape and/or its size is limited like in biological cells [13], nanoporous media [14], or zeolites [15]. In such system the interaction of the reactants with the boundaries of the medium leads to non-intuitive confinement effects [16,17].…”

Section: Introductionmentioning

confidence: 99%

Front propagation in channels with spatially modulated cross section

2015

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The problem of front propagation in a three-dimensional channel with spatially varying crosssection is reduced to an equivalent reaction-diffusion-advection equation with boundary-induced advection term. Treating the advection term as a weak perturbation, an equation of motion for the front position is derived. We analyze channels whose cross-sections vary periodically with L along the propagation direction of the front. Taking the Schlögl model as representative example, we calculate analytically the nonlinear dependence of the front velocity on the ratio L/l where l denotes the intrinsic front width. Our analytical results agree well with the results obtained by numerical simulations. In particular, the peculiarity of boundary-induced propagation failure for a finite range of L/l values is predicted by analytical calculations. Lastly, we demonstrate that the front velocity is determined by the suppressed diffusivity of the reactants for L l.

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“…As a consequence of the flow opposing the front, static fronts have been found depending on the intensity of the the mean flow velocity U that is negative by convention. In previous studies [22][23][24] we have demonstrated that, depending on U , the system display three propagating regimes. If the flow magnitude is high enough, the front recedes downstream.…”

Section: Introductionmentioning

confidence: 78%

Avalanches dynamics in reaction fronts in disordered flows

et al. 2017

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We report on numerical studies of avalanches of an autocatalytic reaction front in a porous medium. The front propagation is controlled by an adverse flow resulting in upstream, static, or downstream regimes. In an earlier study focusing on front shape, we identified three different universality classes associated with this system by following the front dynamics experimentally and numerically. Here, using numerical simulations in the vicinity of the second-order transition, we identify an avalanche dynamics characterized by power-law distributions of avalanche sizes, durations, and lateral extensions. The related exponents agree well with the quenched-Kardar-Parisi-Zhang theory, which describes the front dynamics. However, the geometry of the propagating front differs slightly from that of the theoretical one. We show that this discrepancy can be understood in terms of the nonquasistatic correction induced by the finite front velocity.

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Autocatalytic Reaction Fronts Inside a Porous Medium of Glass Spheres

Cited by 39 publications

References 19 publications

Experimental approaches to universal out-of-equilibrium scaling laws: turbulent liquid crystal and other developments

Experimental approaches to universal out-of-equilibrium scaling laws: turbulent liquid crystal and other developments

Front propagation in channels with spatially modulated cross section

Avalanches dynamics in reaction fronts in disordered flows

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