Asymptotic front behavior in an $A+B\rightarrow 2A$ reaction under subdiffusion

Details Asymptotic front behavior in an $A+B\rightarrow 2A$ reaction under subdiffusion Asymptotic front behavior in an $A+B\rightarrow 2A$ reaction under subdiffusion

2010-11-11

arxiv.org/abs/1011.2643v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

We discuss the front propagation in the $A+B\rightarrow 2A$ reaction under subdiffusion which is described by continuous time random walks with a heavy-tailed power law waiting time probability density function. Using a crossover argument, we discuss the two scaling regimes of the front propagation: an intermediate asymptotic regime given by the front solution of the corresponding continuous equation, and the final asymptotics, which is fluctuation-dominated and therefore lays out of reach of the continuous scheme. We moreover show that the continuous reaction subdiffusion equation indeed possesses a front solution that decelerates and becomes narrow in the course of time. This continuous description breaks down for larger times when the front gets atomically sharp. We show that the velocity of such fronts decays in time faster than in the continuous regime.

Affiliated with

Also associated with

No associations

Rating

Asymptotic front behavior in an $A+B\rightarrow 2A$ reaction under subdiffusion does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Asymptotic front behavior in an $A+B\rightarrow 2A$ reaction under subdiffusion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotic front behavior in an $A+B\rightarrow 2A$ reaction under subdiffusion will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-430954