Mode-coupling theory for heteropolymers.
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.
Pitard
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Department of Chemistry and Chemical Biology, Harvard University, 12 Oxford Street, Cambridge, MA 02138, USA.
Shakhnovich
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EI
D001703:Biophysics / Q000379:methods*; D015233:Models, Statistical; D008962:Models, Theoretical; D011108:Polymers / Q000737:chemistry*; D013696:Temperature; D013997:Time Factors
D011108:Polymers