Abstract
We study the reaction front for the diffusion-reaction system A + B → C with initially separated reactants. We present analytical results for the form of the front and the exponents that characterize its width and height asymptotically, which appear to hold in d ≥ 2. We also present analytical and numerical results for the form of the reaction front for the 1D case in which one of the reactants is static, and find the width exponent α = 1 4, which is larger than the mean field exponent (α = 1 6) but smaller than the value for the case in which both species diffuse (α {reversed tilde equals} 0.3).
Original language | English |
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Pages (from-to) | 168-171 |
Number of pages | 4 |
Journal | Physica A: Statistical Mechanics and its Applications |
Volume | 191 |
Issue number | 1-4 |
DOIs | |
State | Published - 15 Dec 1992 |
Bibliographical note
Funding Information:The Center for Polymer studiesi s supportedb y grantsf rom NSF and ONR. MA acknowledgest he support of Intevep S.A. Venezuela,H L the support of CONACYT Mexico while SH thanks the US-Israel Binational ScienceF oun-dation for partial support.
Funding
The Center for Polymer studiesi s supportedb y grantsf rom NSF and ONR. MA acknowledgest he support of Intevep S.A. Venezuela,H L the support of CONACYT Mexico while SH thanks the US-Israel Binational ScienceF oun-dation for partial support.
Funders | Funder number |
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US-Israel Binational ScienceF oun-dation | |
Consejo Nacional de Ciencia y Tecnología |