Kursawe, J and Schulz, J and Metzler, R (2013) Transient aging in fractional Brownian and Langevinequation motion. Physical Review E, 88 . 062124.

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Abstract
Stochastic processes driven by stationary fractional Gaussian noise, that is, fractional Brownian motion and fractional Langevinequation motion, are usually considered to be ergodic in the sense that, after an algebraic relaxation, time and ensemble averages of physical observables coincide. Recently it was demonstrated that fractional Brownian motion and fractional Langevinequation motion under external confinement are transiently nonergodic—time and ensemble averages behave differently—from the moment when the particle starts to sense the confinement. Here we show that these processes also exhibit transient aging, that is, physical observables such as the timeaveraged meansquared displacement depend on the time lag between the initiation of the system at time t=0 and the start of the measurement at the aging time ta. In particular, it turns out that for fractional Langevinequation motion the aging dependence on ta is different between the cases of free and confined motion. We obtain explicit analytical expressions for the aged moments of the particle position as well as the timeaveraged meansquared displacement and present a numerical analysis of this transient aging phenomenon.
Item Type:  Article 

Subjects:  A  C > Biology and other natural sciences 
Research Groups:  Centre for Mathematical Biology 
ID Code:  1774 
Deposited By:  Sara Jolliffe 
Deposited On:  12 Feb 2014 08:50 
Last Modified:  29 May 2015 19:28 
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