Superdiffusion in a Model for Diffusion in a Molecularly Crowded Environment

  • Dietrich Stauffer
  • Christian Schulze
  • Dieter W. HeermannEmail author
Original Paper


We present a model for diffusion in a molecularly crowded environment. The model consists of random barriers in a percolation network. Random walks in the presence of slowly moving barriers show normal diffusion for long times but anomalous diffusion at intermediate times. The effective exponents for square distance vs time usually are below one at these intermediate times, but they can also be larger than one for high barrier concentrations. Thus, we observe sub- and superdiffusion in a crowded environment.


Anomalous diffusion Effective exponents Random walk 


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Copyright information

© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  • Dietrich Stauffer
    • 1
  • Christian Schulze
    • 1
  • Dieter W. Heermann
    • 2
    Email author
  1. 1.Institut für Theoretische PhysikUniversität zu KölnKölnGermany
  2. 2.Institut für Theoretische PhysikUniversität HeidelbergHeidelbergGermany

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