title: Probabilistic phase space trajectory description for anomalous polymer dynamics.
abstract: 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 and phenomena such as phantom Rouse, self-avoiding Rouse, and Zimm ones, reptation, and translocation through a narrow pore in a membrane, as well as for many polymeric systems such as polymer melts in the entangled regime--are robustly described by the generalized Langevin equation. Here I show that the probability distribution of phase space trajectories for all of 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.
authors.affiliation: Institute for Theoretical Physics, Universiteit van Amsterdam, Science Park 904, Postbus 94485, 1090 GL Amsterdam, The Netherlands.
authors.forename: Debabrata
authors.initials: D
authors.lastname: Panja
mesh_terms: D004058:Diffusion; D008566:Membranes / Q000737:chemistry*; D015233:Models, Statistical; D056004:Molecular Dynamics Simulation; D009038:Motion; D011108:Polymers / Q000737:chemistry*; D016062:Porosity
chemical_list: D011108:Polymers