title: Asymptotic behavior of self-affine processes in semi-infinite domains.
abstract: We propose to model the stochastic dynamics of a polymer passing through a pore (translocation) by means of a fractional Brownian motion and study its behavior in the presence of an absorbing boundary. Based on scaling arguments and numerical simulations, we present a conjecture that provides a link between the persistence exponent theta and the Hurst exponent H of the process, thus shedding light on the spatial and temporal features of translocation. Furthermore, we show that this conjecture applies more generally to a broad class of self-affine processes undergoing anomalous diffusion in bounded domains, and we discuss some significant examples.
authors.affiliation: CEA/Saclay, DEN/DM2S/SFME/LSET, Bâtiment 454, 91191 Gif-sur-Yvette Cedex, France. andrea.zoia@cea.fr
authors.forename: Andrea
authors.initials: A
authors.lastname: Zoia
authors.forename: Alberto
authors.initials: A
authors.lastname: Rosso
authors.forename: Satya N
authors.initials: SN
authors.lastname: Majumdar
mesh_terms: D008956:Models, Chemical; D008958:Models, Molecular; D011108:Polymers / Q000737:chemistry*; D013269:Stochastic Processes
chemical_list: D011108:Polymers