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Breather-induced anomalous charge diffusion.

G Kalosakas1, K L Ngai, S Flach

  • 1Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Strasse 38, Dresden 01187, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 11, 2005
PubMed
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Anomalous diffusion occurs in charged particles within nonlinear thermal lattices at high temperatures. This behavior, driven by vibrational hot spots, significantly impacts charge transport properties.

Area of Science:

  • Condensed Matter Physics
  • Nonlinear Dynamics
  • Statistical Mechanics

Background:

  • Understanding charge transport in complex materials is crucial.
  • Nonlinear lattice dynamics can significantly alter particle motion.
  • Thermal effects play a key role in material properties.

Purpose of the Study:

  • To investigate the diffusive motion of a charge interacting with nonlinear lattice dynamics.
  • To identify and characterize anomalous diffusion signatures at high temperatures.
  • To explore the impact of nonlinear excitations on charge transport parameters.

Main Methods:

  • Analysis of mean-squared displacement evolution.
  • Characterization of individual charge trajectories.
  • Investigation of vibrational hot spots (breather excitations).

Related Experiment Videos

  • Modeling the temperature dependence of the diffusion coefficient.
  • Main Results:

    • Observed sublinear diffusion and plateaus in mean-squared displacement at high temperatures.
    • Identified significant heterogeneity in individual charge trajectories.
    • Linked anomalous diffusion to vibrational hot spots (breathers).
    • Found a significant suppression of the diffusion coefficient (D), following a stretched exponential law with temperature.

    Conclusions:

    • Nonlinear lattice dynamics induce anomalous charge diffusion.
    • Vibrational hot spots are key to understanding this anomalous transport.
    • Results are relevant for low-dimensional soft materials with anharmonicities, like biomolecules and polymers.