Berlin 2015 – wissenschaftliches Programm

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CPP: Fachverband Chemische Physik und Polymerphysik

CPP 5: Anomalous Diffusion (joint session DY, CPP)

CPP 5.1: Vortrag

Montag, 16. März 2015, 09:30–09:45, BH-N 334

Anomalous diffusion in corrugated potentials with spatial correlations: faster than normal, and other surprises — •Igor Goychuk — Institute for Physics and Astronomy, University of Potsdam, Karl-Liebknecht-Str. 24/25, 14476 Potsdam-Golm, Germany

Normal diffusion in corrugated potentials with spatially uncorrelated Gaussian energy disorder famously explains the origin of non-Arrhenius exp[−σ2/(kBT)2] temperature-dependence in disordered systems. We show [1] that unbiased diffusion remains asymptotically normal also in the presence of spatial correlations decaying to zero. However, due to a temporal lack of self-averaging transient subdiffusion emerges on mesoscale, and it can readily reach macroscale even for moderately strong disorder fluctuations of σ∼ 4−5  kBT. Due to its nonergodic origin such subdiffusion exhibits a large scatter in single trajectory averages. However, at odds with intuition, it occurs essentially faster than one expects from the normal diffusion in the absence of correlations. We apply these results to diffusion of regulatory proteins on DNA molecules and predict that such diffusion should be anomalous, but much faster than earlier expected on a typical length of genes for a realistic energy disorder of several room kBT, or merely 0.05−0.075 eV.
[1] I. Goychuk and V. Kharchenko, Phys. Rev. Lett. 113, 100601 (2014).

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