Survival and confinement under quenched disorder

Physical Chemistry Chemical Physics : PCCP
Tomás AquinoMarco Dentz

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.

References

Aug 1, 1977·Theoretical Population Biology·A Hastings
Feb 4, 1997·Proceedings of the National Academy of Sciences of the United States of America·H H McAdams, A Arkin
Sep 16, 2000·Physical Review Letters·B RinnJ P Bouchaud
May 15, 2004·Progress in Biophysics and Molecular Biology·S Schnell, T E Turner
Jul 19, 2005·Proceedings. Biological Sciences·Charly FavierMarc A Dubois
Feb 1, 1984·Proceedings of the National Academy of Sciences of the United States of America·M F Shlesinger, E W Montroll
Feb 1, 1986·Proceedings of the National Academy of Sciences of the United States of America·J Klafter, M F Shlesinger
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Igor M SokolovF Sagués
Jun 20, 2006·Biophysical Chemistry·R Grima, S Schnell
Aug 22, 2007·Proceedings of the National Academy of Sciences of the United States of America·Grigory KolesovLeonid A Mirny
Sep 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·D FroembergF Sagués
May 21, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Shlomi ReuveniJoseph Klafter
May 22, 2010·Nature Chemistry·O BénichouR Voituriez
Jul 9, 2010·Journal of Contaminant Hydrology·Marco DentzJesus Carrera
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Shlomi ReuveniJoseph Klafter
Jan 15, 2011·Physical Review Letters·O BénichouR Voituriez
Mar 17, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yasmine MerozJoseph Klafter
Mar 14, 2013·Reports on Progress in Physics·Felix Höfling, Thomas Franosch
May 28, 2013·Physical Review Letters·Otto Pulkkinen, Ralf Metzler
May 3, 2014·Physical Review Letters·P MassignanG J Lapeyre
Dec 24, 2014·Nature Communications·Carmine Di RienzoFrancesco Cardarelli
Feb 13, 2016·Physical Review. E·Marco DentzPhilippe Gouze
Jul 14, 2017·Physical Chemistry Chemical Physics : PCCP·G John Lapeyre, Marco Dentz
Sep 28, 2017·Physical Review. E·Anna RussianPhilippe Gouze

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