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Self-assembling kinetics: Accessing a new design space via differentiable statistical-physics models

2020/10/28 by Carl P. Goodrich, Goodrich, Carl P., Ella M. King +8
Biochemistry, Genetics and Molecular Biology · Materials Science · Physics and Astronomy · #Advanced Electron Microscopy Techniques and Applications #Calcium Carbonate Crystallization and Inhibition #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Machine Learning in Materials Science #Materials Science (cond-mat.mtrl-sci) #Protein Structure and Dynamics #cond-mat.mtrl-sci #physics.comp-ph

paper · pdf · doi:10.48550/arxiv.2010.15175

5 figures

openalex publication_date 2020/10/28 · arxiv created 2020/11/19 · arxiv updated 2020/11/20 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

The inverse problem of designing component interactions to target emergent structure is fundamental to numerous applications in biotechnology, materials science, and statistical physics. Equally important is the inverse problem of designing emergent kinetics, but this has received considerably less attention. Using recent advances in automatic differentiation, we show how kinetic pathways can be precisely designed by directly differentiating through statistical-physics models, namely free energy calculations and molecular dynamics simulations. We consider two systems that are crucial to our understanding of structural self-assembly: bulk crystallization and small nanoclusters. In each case we are able to assemble precise dynamical features. Using gradient information, we manipulate interactions among constituent particles to tune the rate at which these systems yield specific structures of interest. Moreover, we use this approach to learn non-trivial features about the high-dimensional design space, allowing us to accurately predict when multiple kinetic features can be simultaneously and independently controlled. These results provide a concrete and generalizable foundation for studying non-structural self-assembly, including kinetic properties as well as other complex emergent properties, in a vast array of systems.

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