2007/03/31 by Debabrata Panja, Gerard T. Barkema, G. T. Barkema +2 · 6 citations
Biochemistry, Genetics and Molecular Biology · Engineering · Materials Science · Physics and Astronomy · #Chemical physics #Displacement (psychology) #Dwell time #Dynamics (music) #Exponent #Fuel Cells and Related Materials #Materials science #Mean squared displacement #Molecular dynamics #Monomer #Nanopore and Nanochannel Transport Studies #Nuclear magnetic resonance #Physics #Polymer #Thermal properties of materials #cond-mat.soft #cond-mat.stat-mech #physics.bio-ph #q-bio.BM
paper · pdf · doi:10.1088/0953-8984/19/43/432202
published as J. Phys.: Condens. Matter 19 (2007) 432202 · 12 pages, 3 figures; to appear in J. Phys.: Cond. Mat. (Fast Track Communication)
arxiv created 2007/09/24 · openalex publication_date 2007/10/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider a polymer of length N translocating through a narrow pore in the absence of external fields. The characterization of its purportedly anomalous dynamics has so far remained incomplete. We show that the polymer dynamics is anomalous up to the Rouse time τ R ∼ N 1+2ν , with a mean square displacement through the pore consistent with t (1+ν)/(1+2ν) , with ν≈0.588 the Flory exponent. This is shown to be directly related to a decay over time of the excess monomer density near the pore as t −(1+ν)/(1+2ν) exp(− t /τ R ). Beyond the Rouse time, translocation becomes diffusive. In consequence of this, the dwell time τ d , the time a translocating polymer typically spends within the pore, scales as N 2+ν , in contrast to previous claims.