Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-04-19
Proceedings of SPIE 5471, Pg. 20 (2004)
Physics
Condensed Matter
Statistical Mechanics
Errata corrected, one reference updated
Scientific paper
10.1117/12.544910
We study the reaction front for the process $A+B\to C$ in which the reagents move subdiffusively. We propose a fractional reaction-subdiffusion equation in which both the motion and the reaction terms are affected by the subdiffusive character of the process. Scaling solutions to these equations are presented and compared with those of a direct numerical integration of the equations. We find that for reactants whose mean square displacement varies sublinearly with time as $
Lindenberg Katja
Yuste Santos B.
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