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Nonlinear machine learning of patchy colloid self-assembly pathways and mechanisms.

Andrew W Long1, Andrew L Ferguson

  • 1Department of Materials Science and Engineering, University of Illinois at Urbana-Champaign , Urbana, Illinois 61801, United States.

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Summary

This study introduces a novel data mining approach using diffusion maps to systematically uncover self-assembly pathways. The method successfully identifies distinct routes for forming tetrahedral and icosahedral structures from patchy colloids.

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Area of Science:

  • Materials Science
  • Chemical Physics
  • Computational Chemistry

Background:

  • Bottom-up self-assembly is crucial for synthesizing complex materials.
  • Understanding self-assembly pathways and mechanisms is key for designing new materials and understanding fundamental principles.
  • Current methods for analyzing assembly pathways can be limited and require manual inspection.

Purpose of the Study:

  • To develop and validate a systematic approach for inferring self-assembly pathways and mechanisms.
  • To apply nonlinear data mining of molecular simulation trajectories to understand material self-assembly.
  • To guide the inverse design of building blocks for self-assembling materials.

Main Methods:

  • Utilized nonlinear data mining techniques, specifically diffusion maps, on molecular simulation trajectories.
  • Applied the methodology to Brownian dynamics simulations of anisotropic 'patchy colloids'.
  • Analyzed the assembly of particles into polyhedral aggregates, including tetrahedral and icosahedral structures.

Main Results:

  • Identified two distinct assembly pathways for tetrahedral aggregates: chains of dimers/tetramers and chains of trimers.
  • Recovered two assembly pathways for icosahedral aggregates: monomeric addition and budding from a liquid phase.
  • Validated the approach by successfully reproducing previously identified assembly routes.

Conclusions:

  • The diffusion map approach systematically and reliably infers self-assembly mechanisms.
  • This computational method enhances the understanding of self-assembly processes.
  • The validated methodology provides a powerful tool for designing self-assembling materials.