Mode-coupling theory for heteropolymers

Citation:

Pitard, E. & Shakhnovich, E.I. Mode-coupling theory for heteropolymers. Phys. Rev. E 63, 4, 041501 (2001).

Date Published:

2001

Abstract:

We study the Langevin dynamics of a heteropolymer by means of a mode-coupling approximation scheme, giving rise to a set of coupled integro-differential equations relating the response and correlation functions. The analysis shows that there is a regime at low temperature characterized by out-of-equilibrium dynamics, with violation of time-translational invariance and of the fluctuation-dissipation theorem. The onset of aging dynamics at low temperatures gives insight into the nature of the slow dynamics of a disordered polymer. We also introduce a renormalization-group treatment of our mode-coupling equations, which supports our analysis, and might be applicable to other systems.

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