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Nonlinear waves in a model for silicate layers.

Juan F R Archilla1, Yaroslav Zolotaryuk2, Yuriy A Kosevich3

  • 1Grupo de Física No Lineal, Universidad de Sevilla, ETSI Informática, Avda Reina Mercedes s/n, 41012 Sevilla, Spain.

Chaos (Woodbury, N.Y.)
|September 6, 2018
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Summary
This summary is machine-generated.

This study explores nonlinear excitations in mica muscovite, revealing crowdions, nanopterons, and breathers. These localized energy and charge carriers align with experimental and fossil evidence in layered silicates.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Geophysics

Background:

  • Layered silicates, like mica muscovite, exhibit unique structures with mobile ions.
  • Evidence suggests nonlinear excitations transport energy and charge along cation rows in these materials.
  • A prior 1D model with hard substrate potential and specific repulsion terms was proposed.

Purpose of the Study:

  • To conduct a comprehensive search for diverse nonlinear excitations within the established 1D mica muscovite model.
  • To analyze the properties, stability, and origins of these excitations, linking them to experimental and fossil data.
  • To investigate the impact of parameter variations on excitation behavior.

Main Methods:

  • Utilized the pseudospectral method for precise identification of nanopteron solutions (kinks with tails), crowdions, and bi-crowdions.
  • Analyzed velocities, energies, and stability/instability of the identified nonlinear excitations.
  • Employed an alternative method to discover stationary and moving breathers (localized excitations with internal vibrations).

Main Results:

  • Confirmed the propagation of crowdions with specific velocities and energies, consistent with previous findings and experimental data.
  • Identified nanopteron solutions, crowdions, and bi-crowdions, detailing their characteristics and stability.
  • Discovered stationary and moving breathers, with moving breathers exhibiting low amplitude and energy, correlating with fossil evidence.

Conclusions:

  • The study provides a detailed characterization of various nonlinear excitations in a model of mica muscovite.
  • Findings support the hypothesis that these excitations, including crowdions and breathers, are responsible for energy and charge transport.
  • The identified excitations offer potential explanations for fossil tracks and recoils from beta decays in layered silicates.