Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2010-07-02
J. Phys.: Condens. Matter 23 (2011) 105103
Physics
Condensed Matter
Soft Condensed Matter
8 pages, two figures, 3 eps figure files, minor changes, supplementary material included moved to the appendix, references exp
Scientific paper
10.1088/0953-8984/23/10/105103
It has been recently shown that the phase space trajectories for the anomalous dynamics of a tagged monomer of a polymer --- for single polymeric systems such as phantom Rouse, self-avoiding Rouse, Zimm, reptation, and translocation through a narrow pore in a membrane; as well as for many-polymeric system such as polymer melts in the entangled regime --- is robustly described by the Generalized Langevin Equation (GLE). Here I show that the probability distribution of phase space trajectories for all these classical anomalous dynamics for single polymers is that of a fractional Brownian motion (fBm), while the dynamics for polymer melts between the entangled regime and the eventual diffusive regime exhibits small, but systematic deviations from that of a fBm.
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