Subdiffusion-limited reactions

Details Subdiffusion-limited reactions Subdiffusion-limited reactions

2001-05-17

arxiv.org/abs/cond-mat/0105338v1

Phys. Rev. Letters Vol. 87, 118301 (2001).

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevLett.87.118301

We consider the coagulation dynamics A+A -> A and A+A <-> A and the annihilation dynamics A+A -> 0 for particles moving subdiffusively in one dimension. This scenario combines the "anomalous kinetics" and "anomalous diffusion" problems, each of which leads to interesting dynamics separately and to even more interesting dynamics in combination. Our analysis is based on the fractional diffusion equation.

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