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Two-component nanoparticle self-assembly: Modeling, analysis, and structure control
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DOI：10.1016/j.automatica.2025.112755.png)
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Abstract
En 中文
Two-component chemical self-assembly has been a decisive method of creating various structures and is the basis of the superlattice in material science; however because the process of self-assembly is tangled and hard to describe, there is little theoretical research, and mathematical theory is particularly lacking currently. Based on some assumptions of the hard sphere model and Coulombic assembly experiment, this paper presents a novel multi-agent system for two-component chemical self-assembly using a group of stochastic differential equations. The existence and uniqueness theorem of the solution is also presented. A structure control problem is proposed by taking the bond-orientational order as the characteristic function of the assembled product structure, and the temperature as the control input. Our simulations show that the bond-orientational order of self-assembled product is heavily related to the final temperature, but has little relevance to the control path from the initial temperature to the final temperature.
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