Superaging correlation function and ergodicity breaking for Brownian motion in logarithmic potentials

A. Dechant, E. Lutz, D. A. Kessler, E. Barkai

研究成果: Article査読

23 被引用数 (Scopus)

抄録

We consider an overdamped Brownian particle moving in a confining asymptotically logarithmic potential, which supports a normalized Boltzmann equilibrium density. We derive analytical expressions for the two-time correlation function and the fluctuations of the time-averaged position of the particle for large but finite times. We characterize the occurrence of aging and nonergodic behavior as a function of the depth of the potential, and we support our predictions with extensive Langevin simulations. While the Boltzmann measure is used to obtain stationary correlation functions, we show how the non-normalizable infinite covariant density is related to the superaging behavior.

本文言語English
論文番号051124
ジャーナルPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
85
5
DOI
出版ステータスPublished - 2012 5月 16
外部発表はい

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 統計学および確率
  • 凝縮系物理学

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