Jump to main content
Jump to site search

Issue 29, 2017
Previous Article Next Article

Reaction–diffusion with stochastic decay rates

Author affiliations


Understanding anomalous transport and reaction kinetics due to microscopic physical and chemical disorder is a long-standing goal in many fields including geophysics, biology, and engineering. We consider reaction–diffusion characterized by fluctuations in both transport times and decay rates. We introduce and analyze a model framework that explicitly connects microscopic fluctuations with the mescoscopic description. For broad distributions of transport and reaction time scales we compute the particle density and derive the equations governing its evolution, finding power-law decay of the survival probability, and spatially varying decay that leads to subdiffusion and an asymptotically stationary surviving-particle density. These anomalies are clearly attributable to non-Markovian effects that couple transport and chemical properties in both reaction and diffusion terms.

Graphical abstract: Reaction–diffusion with stochastic decay rates

Back to tab navigation

Publication details

The article was received on 05 May 2017, accepted on 04 Jul 2017 and first published on 04 Jul 2017

Article type: Paper
DOI: 10.1039/C7CP02971C
Citation: Phys. Chem. Chem. Phys., 2017,19, 18863-18879
  •   Request permissions

    Reaction–diffusion with stochastic decay rates

    G. J. Lapeyre and M. Dentz, Phys. Chem. Chem. Phys., 2017, 19, 18863
    DOI: 10.1039/C7CP02971C

Search articles by author