Generalized Langevin Equation Formulation for Anomalous Polymer Dynamics

Details Generalized Langevin Equation Formulation for Anomalous Polymer Dynamics Generalized Langevin Equation Formulation for Anomalous Polymer Dynamics

2009-12-11

arxiv.org/abs/0912.2331v2

J. Stat. Mech. (2010) L02001

Physics

Condensed Matter

Soft Condensed Matter

8 pages, no figures, minimal changes, to appear in JSTAT as a Letter

Scientific paper

10.1088/1742-5468/2010/02/L02001

For reproducing the anomalous -- i.e., sub- or super-diffusive -- behavior in some stochastic dynamical systems, the Generalized Langevin Equation (GLE) has gained considerable popularity in recent years. Motivated by the question whether or not a system with anomalous dynamics can have the GLE formulation, here I consider polymer physics, where sub-diffusive behavior is commonplace. I provide an exact derivation of the GLE for phantom Rouse polymers, andby identifying polymeric response to local strains, I argue the case for the GLE formulation for self-avoiding polymers and polymer translocation through a narrow pore in a membrane. The number of instances in polymer physics, where the anomalous dynamics corresponds to the GLE, thus seems to be fairly common.

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