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Origami Inspired Self-assembly of Patterned and Reconfigurable Particles

Origami Inspired Self-assembly of Patterned and Reconfigurable Particles

Published on: February 4, 2013

Using the uncertainty principle to design simple interactions for targeted self-assembly.

E Edlund¹, O Lindgren, M Nilsson Jacobi

¹Complex Systems Group, Department of Energy and Environment, Chalmers University of Technology, SE-41296 Göteborg, Sweden.

The Journal of Chemical Physics

|July 19, 2013

Summary

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Designing isotropic interactions for self-assembly of complex lattices.

Physical review letters·2011

We developed a method to simplify interactions for self-assembly, using heat kernel smoothing and Gaussian screening. This simplifies designing self-assembling materials, bridging theory and experiments.

Area of Science:

Materials Science
Computational Chemistry
Statistical Mechanics

Background:

Designing materials with specific properties requires precise control over self-assembly processes.
Current methods for designing self-assembling interactions are often complex and difficult to implement experimentally.

Purpose of the Study:

To present a systematic method for simplifying isotropic interactions used in targeted self-assembly.
To enable the analytical design of interactions for complex lattice formation and functional materials.

Main Methods:

Utilized the uncertainty principle to guide the simplification process.
Applied a combination of heat kernel smoothing and Gaussian screening to interaction potentials.
Performed simplification in both real and reciprocal space.

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Last Updated: May 9, 2026

Origami Inspired Self-assembly of Patterned and Reconfigurable Particles

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Main Results:

Developed a method for systematically simplifying isotropic interaction potentials.
Demonstrated that optimal simplification involves heat kernel smoothing and Gaussian screening.
Analytically designed interactions for self-assembling complex lattices and functional materials.

Conclusions:

The proposed simplification method yields interactions simple enough for experimental implementation.
This work narrows the gap between theoretical design and practical realization of self-assembling materials.
Facilitates the creation of novel materials with tailored properties through designed self-assembly.