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  • Letter

Nonergodicity of confined superdiffusive fractional Brownian motion

Yingjie Liang1,2,*, Wei Wang2,†, Ralf Metzler2,3,‡, and Andrey G. Cherstvy2,§

  • 1College of Mechanics and Materials, Hohai University, 211100 Nanjing, China
  • 2Institute of Physics and Astronomy, University of Potsdam, 14476 Potsdam, Germany
  • 3Asia Pacific Center for Theoretical Physics, Pohang 37673, Republic of Korea

  • *liangyj@hhu.edu.cn
  • †weiwangnuaa@gmail.com
  • ‡rmetzler@uni-potsdam.de
  • §a.cherstvy@gmail.com
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Phys. Rev. E 108, L052101 – Published 1 November, 2023

DOI: https://doi.org/10.1103/PhysRevE.108.L052101

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.

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Phys. Rev. E 108, L052101– Published 1 November, 2023
  • Received 28 July 2023
  • Accepted 3 October 2023
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