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Random heteropolymer dynamics.

Z Konkoli1, J Hertz, S Franz

  • 1NORDITA, Blegdamsvej 17, DK 2100 København, Denmark.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 12, 2001
PubMed
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This study investigates random heteropolymer dynamics using supersymmetric field theory, revealing a phase diagram with distinct glassy and ergodic states. The research identifies aging behavior in the frozen phase, crucial for understanding polymer physics.

Area of Science:

  • Statistical Mechanics
  • Polymer Physics
  • Condensed Matter Physics

Background:

  • Random heteropolymers are complex systems exhibiting diverse conformational behaviors.
  • Understanding their dynamics is crucial for fields ranging from biology to materials science.
  • Existing models often struggle to capture the non-equilibrium dynamics accurately.

Purpose of the Study:

  • To analyze the Langevin dynamics of the standard random heteropolymer model.
  • To map the heteropolymer problem onto a supersymmetric field theory.
  • To investigate the nonperturbative solution and phase behavior of the model.

Main Methods:

  • Application of the Martin-Siggia-Rose formalism to map the dynamics.
  • Nonperturbative solution using a Gaussian variational approach.

Related Experiment Videos

  • Derivation of equations of motion for correlation and response functions.

    • Main Results:

    • Identification of a dynamical phase diagram with frozen (glassy) and melted (ergodic) phases.
    • Observation of aging dynamics, characteristic of p-spin glasses, in the glassy phase.
    • Mapping the random heteropolymer model to a manifold in a random potential with power-law correlations.

    Conclusions:

    • The random heteropolymer model exhibits distinct dynamical phases governed by aging in the glassy state.
    • The supersymmetric field theory approach provides a powerful nonperturbative method for analyzing such complex systems.
    • The findings offer insights into the statistical mechanics of disordered polymers and related physical systems.