Asymptotic behavior of self-affine processes in semi-infinite domains
| dc.creator | Zoia, Andrea | |
| dc.creator | Rosso, Alberto | |
| dc.creator | Majumdar, Satya N. | |
| dc.date | 2008-11-12 | |
| dc.date | 2009-03-08 | |
| dc.date.accessioned | 2026-07-07T12:57:23Z | |
| dc.date.available | 2026-07-07T12:57:23Z | |
| dc.description | 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 presence of an absorbing boundary. Based on scaling arguments and numerical simulations, we present a conjecture that provides a link between the persistence exponent $θ$ and the Hurst exponent $H$ of the process, thus sheding 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. | |
| dc.description | 4 pages, 3 figures; to be published in Phys. Rev. Lett | |
| dc.identifier | https://arxiv.org/abs/0811.1951 | |
| dc.identifier | http://arxiv.org/abs/0811.1951 | |
| dc.identifier | Phys. Rev. Lett. 102, 120602 (2009) | |
| dc.identifier | doi:10.1103/PhysRevLett.102.120602 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224913 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Asymptotic behavior of self-affine processes in semi-infinite domains | |
| dc.type | text |