Reaction–diffusion with stochastic decay rates
| Autor: | Marco Dentz, Gerald J. Lapeyre |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Physics
Statistical Mechanics (cond-mat.stat-mech) FOS: Physical sciences General Physics and Astronomy Chemical disorder Condensed Matter - Soft Condensed Matter 01 natural sciences 010305 fluids & plasmas Chemical kinetics Survival probability 0103 physical sciences Reaction–diffusion system Soft Condensed Matter (cond-mat.soft) Statistical physics Physical and Theoretical Chemistry Diffusion (business) 010306 general physics Particle density Condensed Matter - Statistical Mechanics |
| Zdroj: | Physical Chemistry Chemical Physics. 19:18863-18879 |
| ISSN: | 1463-9084 1463-9076 |
| DOI: | 10.1039/c7cp02971c |
| Popis: | 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 transitions 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 heterogeneous 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. Comment: Explain model and applications in more detail. 19 pages, 6 figures |
| Databáze: | OpenAIRE |
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