Anomalous diffusion in ‘‘living polymers’’: A genuine Levy flight?
- 22 October 1990
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 65 (17), 2201-2204
- https://doi.org/10.1103/physrevlett.65.2201
Abstract
We have observed anomalously enhanced self- (tracer) diffusion in systems of polymerlike breakable micelles. We argue that it provides the first experimental realization of a random walk for which the second moment of the jump-size distribution fails to exist (‘‘Levy flight’’). The basic mechanism is the following: Due to reptation, short micelles diffuse much more rapidly than long ones. As times goes on, shorter and shorter micelles are encountered by the tracer, and hence the effective diffusion constant increases with time.Keywords
This publication has 15 references indexed in Scilit:
- Anomalous transport of streamlines due to their chaos and their spatial topologyPhysics Letters A, 1990
- Anomalous diffusion of tracer in convection rollsPhysics of Fluids A: Fluid Dynamics, 1989
- Anomalous Diffusion in a Linear Array of VorticesEurophysics Letters, 1988
- Network properties of semidilute aqueous KBr solutions of cetyltrimethylammonium bromideJournal of Colloid and Interface Science, 1988
- Reptation of living polymers: dynamics of entangled polymers in the presence of reversible chain-scission reactionsMacromolecules, 1987
- Lévy dynamics of enhanced diffusion: Application to turbulencePhysical Review Letters, 1987
- Diffusion in disordered mediaAdvances in Physics, 1987
- Dispersive (non-Gaussian) transient transport in disordered solidsAdvances in Physics, 1978
- Classical Diffusion in One-Dimensional Disordered LatticePhysical Review Letters, 1978
- Atmospheric diffusion shown on a distance-neighbour graphProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1926