2007/10/31 by Yacov Kantor, Mehran Kardar
Engineering · Mathematics · Physics and Astronomy · #Absorption (acoustics) #Anomalous diffusion #Boundary (topology) #Boundary value problem #Computer science #Differential equation #Diffuser (optics) #Diffusion #Diffusion equation #Dispersion (optics) #Fokker–Planck equation #Gaussian #Mathematical analysis #Mathematics #Nanopore and Nanochannel Transport Studies #Optics #Physics #Quantum mechanics #Relaxation (psychology) #Spectroscopy and Quantum Chemical Studies #Statistical physics #Thermodynamics #cond-mat.soft #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physreve.76.061121
published as Phys. Rev. E 76, 061121 (2007) · 8 pages, 8 figures, RevTex4
arxiv created 2007/10/31 · openalex publication_date 2007/12/20 · arxiv updated 2011/11/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In a very long Gaussian polymer on time scales shorter than the maximal relaxation time, the mean squared distance traveled by a tagged monomer grows as approximately t(1/2) . We analyze such subdiffusive behavior in the presence of one or two absorbing boundaries and demonstrate the differences between this process and the subdiffusion described by the fractional Fokker-Planck equation. In particular, we show that the mean absorption time of diffuser between two absorbing boundaries is finite. Our results restrict the form of the effective dispersion equation that may describe such subdiffusive processes.