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Mode-coupling theory for heteropolymers.

E Pitard1, E I Shakhnovich

  • 1Department of Chemistry and Chemical Biology, Harvard University, 12 Oxford Street, Cambridge, MA 02138, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 20, 2001
PubMed
Summary

This study reveals a low-temperature regime in heteropolymer dynamics exhibiting out-of-equilibrium behavior. This aging dynamics provides insight into disordered polymer slow dynamics.

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Area of Science:

  • Statistical physics
  • Polymer physics

Background:

  • Heteropolymers exhibit complex dynamics influenced by temperature and disorder.
  • Understanding out-of-equilibrium phenomena is crucial for polymer science.

Purpose of the Study:

  • To investigate the Langevin dynamics of heteropolymers at low temperatures.
  • To characterize the non-equilibrium dynamics and aging phenomena in these systems.

Main Methods:

  • Utilizing a mode-coupling approximation to derive integro-differential equations.
  • Analyzing response and correlation functions.
  • Applying a renormalization-group treatment to the mode-coupling equations.

Main Results:

  • Identified a low-temperature regime with out-of-equilibrium dynamics.
  • Observed violation of time-translational invariance and the fluctuation-dissipation theorem.
  • Demonstrated the onset of aging dynamics, explaining slow dynamics in disordered polymers.

Conclusions:

  • Low temperatures induce non-equilibrium and aging in heteropolymer dynamics.
  • The findings offer insights into the slow dynamics of disordered polymers.
  • The employed theoretical framework may extend to other complex systems.

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