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Properties of the reaction front in a reaction-subdiffusion process

机译:反应介质过程中反应前方的性质

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We study the reaction front for the process A + B → 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 < r~2 > ~ t~γ, the scaling behaviors of the reaction front can be recovered from those of the corresponding diffusive problem with the substitution t → t~γ.
机译:我们研究了该方法A + B→C的反应前方,其中试剂沉淀地移动。我们提出了一种分数反应 - 沉降方程,其中运动和反应术语都受到过程的柔顺性特征的影响。向这些方程式进行缩放解决方案,并与方程的直接数值集成的解决方案进行比较。我们发现,对于均线位移随时间变化的反应物随时间而随着〜Tγ而变化,可以从相应的扩散问题的替代t→tγ中回收反应前沿的缩放行为。

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