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Updated: Jun 21, 2026

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
Published on: September 26, 2016
Superdiffusion in a model for diffusion in a molecularly crowded environment
Dietrich Stauffer1, Christian Schulze, Dieter W Heermann
1Institut für Theoretische Physik, Universität zu Köln, 50923 Köln, Germany. stauffer@thp.uni-koeln.de
Abstract:
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.
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