Subdiffusion and weak ergodicity breaking in the presence of a reactive boundary

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dc.creatorLomholt, Michael A.
dc.creatorZaid, Irwin M.
dc.creatorMetzler, Ralf
dc.date2007-04-13
dc.date2007-05-10
dc.date.accessioned2026-07-07T09:41:44Z
dc.date.available2026-07-07T09:41:44Z
dc.descriptionWe derive the boundary condition for a subdiffusive particle interacting with a reactive boundary with finite reaction rate. Molecular crowding conditions, that are found to cause subdiffusion of larger molecules in biological cells, are shown to effect long-tailed distributions with identical exponent for both the unbinding times from the boundary to the bulk and the rebinding times from the bulk. This causes a weak ergodicity breaking: typically, an individual particle either stays bound or remains in the bulk for very long times. We discuss why this may be beneficial for in vivo gene regulation by DNA-binding proteins, whose typical concentrations are nanomolar
dc.description4 pages, 1 figure, REVTeX4, accepted to Phys Rev Lett, some typos corrected
dc.identifierhttps://arxiv.org/abs/0704.1769
dc.identifierhttp://arxiv.org/abs/0704.1769
dc.identifierPhys. Rev. Lett. 98, 200603 (2007)
dc.identifierdoi:10.1103/PhysRevLett.98.200603
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161931
dc.subjectStatistical Mechanics
dc.subjectSoft Condensed Matter
dc.titleSubdiffusion and weak ergodicity breaking in the presence of a reactive boundary
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