Nonergodicity of confined superdiffusive fractional Brownian motion.

Liang, Yingjie; Wang, Wei; Metzler, Ralf; Cherstvy, Andrey G · Phys Rev E · 2023

basic_science · Level V

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Abstract

Using stochastic simulations supported by analytics we determine the degree of nonergodicity of box-confined fractional Brownian motion for both sub- and superdiffusive Hurst exponents H. At H>1/2 the nonequivalence of the ensemble- and time-averaged mean-squared displacements (TAMSDs) is found to be most pronounced (with a giant spread of individual TAMSDs at H→1), with two distinct short-lag-time TAMSD exponents.