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Evolution of Staircase Structures in Diffusive Convection
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From nonlinear reaction-diffusion processes to permanent microscale structures.

Anne-Kathleen Malchow1, Arash Azhand1, Pamela Knoll2

  • 1Technische Universität Berlin, Institut für Theoretische Physik, Hardenbergstraße 36, D-10623 Berlin, Germany.

Chaos (Woodbury, N.Y.)
|June 4, 2019
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Summary
This summary is machine-generated.

Researchers modeled inorganic precipitation reactions, revealing how nonlinear reaction-diffusion processes create complex microstructures called biomorphs. This model explains the formation of intricate patterns observed in these self-assembling polycrystalline aggregates.

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Area of Science:

  • Materials Science
  • Chemical Engineering
  • Crystallography

Background:

  • Biomorphs are complex polycrystalline aggregates formed during inorganic precipitation.
  • Observed biomorphs exhibit intricate microscale features like radial spikes, cones, and coral-like folded sheets.

Purpose of the Study:

  • To propose and model nonlinear reaction-diffusion processes as a cause for biomorph formation.
  • To simulate a simplified precipitation model and compare its output with experimental biomorphs.

Main Methods:

  • A three-step reaction model was developed, involving autocatalytic conversion of a reactant to an intermediate and then to a solid product.
  • Numerical simulations were performed in three spatial dimensions to observe the self-assembly and pattern formation.

Main Results:

  • The simulation successfully generated product structures.
  • These simulated structures closely resemble experimentally observed biomorphs, including their complex internal and external features.

Conclusions:

  • Nonlinear reaction-diffusion processes offer a viable explanation for the formation of intricate biomorph microstructures.
  • The presented model provides a simplified yet effective framework for understanding unconventional precipitation patterns.