Abstract
We study the effects of aging properties of subordinated fractional Brownian motion (FBM) with drift and in harmonic confinement, when the measurement of the stochastic process starts a time ta > 0 after its original initiation at t = 0. Specifically, we consider the aged versions of the ensemble mean squared displacement (MSD) and the time averaged MSD (TAMSD). The aging subordinated FBM exhibits a disparity between MSD and TAMSD and is thus weakly nonergodic, while strong aging is shown to effect a convergence of the MSD and TAMSD. At long times, the MSD in the harmonic potential has a stationary value, that depends on the Hurst index of the parental (non-equilibrium) FBM. The TAMSD of confined subordinated FBM does not relax to a stationary value but increases sublinearly with lag time, analogously to confined CTRW. Interestingly, for the confined subordinated FBM, small aging time ta has no effect on the aged MSD, while at large aging time the aged MSD has monotonic increase ultimately with a power-law and is identical to the aged TAMSD.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
