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Survival and confinement under quenched disorder

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Abstract

We study the survival and confinement of random walkers under quenched disorder characterized by spatially-varying waiting times and decay rates. Spatial heterogeneity and segregation lead to a dynamic coupling between transport and reaction, resulting in history-dependent dynamics exhibiting long survivals and confinement. The survival probability decays as a power law, in contrast to the classical exponential law for decay at a homogeneous rate. The mean squared displacement shows dimension-dependent subdiffusive growth followed by localization, with stronger confinement in higher dimensions.

Graphical abstract: Survival and confinement under quenched disorder

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Publication details

The article was received on 05 Jul 2019, accepted on 03 Oct 2019 and first published on 04 Oct 2019


Article type: Paper
DOI: 10.1039/C9CP03792F
Phys. Chem. Chem. Phys., 2019, Advance Article

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    Survival and confinement under quenched disorder

    T. Aquino, G. J. Lapeyre and M. Dentz, Phys. Chem. Chem. Phys., 2019, Advance Article , DOI: 10.1039/C9CP03792F

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