Scaling of reaction fronts under quenched disorder

Mariela Araujo

Physica A: Statistical Mechanics and its Applications, 1995, vol. 219, issue 3, 239-245

Abstract: The dynamics of fronts in diffusion-limited reactions A + B → C with initially segregated reactants in strongly disordered media is studied. The scaling of the front width, w, in the asymptotic limit w ∼ tα, is analyzed as a function of the “disorder strength” and spatial dimensionality, d. We show that exponent a in d dimensions is a monotonic decreasing function of disorder strength, as measured from diffusive properties of reactants. We also find that a has a mean field behavior for d ⩾ 2. Scaling anomalies are observed in related quantities such as nearest neighbor distance, midpoint fluctuations and concentration profiles of reactants near the center of the front.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:219:y:1995:i:3:p:239-245

DOI: 10.1016/0378-4371(95)00192-A

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