Generalized Langevin Equation Formulation for Anomalous Polymer Dynamics

Abstract

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.

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

References in corpus (5)

• Anomalous Dynamics of Unbiased Polymer Translocation through a Narrow Pore
• Polymer Translocation out of Planar Confinements
• Rouse Modes of Self-avoiding Flexible Polymers
• Memory Effects and Scaling Properties of Traffic Flows
• Response of Single Polymers to Localized Step Strains

Cited by in corpus (28)

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• Anomalous diffusion in coupled viscoelastic media: A fractional Langevin equation approach
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