Front Propagation in Persistent Random Walks with Reactions

6 Front Propagation in Persistent Random Walks with Reactions 

As discussed in Sect. 2.2, persistent random walks provide a mesoscopic description of reaction-transport systems with inertia. This approach provides another opportunity to explore the effects of a finite velocity in the transport mechanism on propagating fronts. We consider two cases. The first corresponds to reaction walks where the kinetic terms do not depend on the direction of the particles. This corresponds to choosing /f = 1/2 in (2.38), and persistent random walks with such kinetics are called direction-independent reaction walks (DIRW). The second case corresponds to walks where reactions occur only between particles with opposite velocities. We call such systems direction-dependent reaction walks (DDRWs). 

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