Experiments in stochastic self assembly

Yuliy Baryshnikov, Ed Coffman, Boonsit Yimwadsana

研究成果: Contribution to conferencePaper

抜粋

The reaction rate equations of chemical kinetics provide a useful model for molecular self assembly, which can be exhibited as a continuous-time, continuous-space limit under the LLN (law of large numbers) scaling. The model takes the form of a set of first order, usually nonlinear ODEs de-scribing the concentrations of the various reactants. With explicit solutions in mind, these systems have rarely been tractable; even numerical approaches have been limited within the parameter spaces of practical systems. Thus, studies of algorithmic self-assembly have turned to experimental tools based on discrete-event simulation. This paper presents such a model argued from first principles and elementary collision theory. We prove first that in the hydrodynamic limit the equations underlying the discrete model become reaction rate equations; and second, we verify by a number of experiments that the accuracy of our experimental results is strikingly good, even for systems that are very small, i.e., with a relatively small population of molecules.

元の言語英語
ページ146-150
ページ数5
出版物ステータス出版済み - 12 1 2007
外部発表Yes
イベント4th Conference on Foundations of Nanoscience: Self-Assembled Architectures and Devices, FNANO 2007 - Snowbird, UT, 米国
継続期間: 4 18 20074 21 2007

会議

会議4th Conference on Foundations of Nanoscience: Self-Assembled Architectures and Devices, FNANO 2007
米国
Snowbird, UT
期間4/18/074/21/07

All Science Journal Classification (ASJC) codes

  • Hardware and Architecture
  • Electrical and Electronic Engineering

フィンガープリント Experiments in stochastic self assembly' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

  • これを引用

    Baryshnikov, Y., Coffman, E., & Yimwadsana, B. (2007). Experiments in stochastic self assembly. 146-150. 論文発表場所 4th Conference on Foundations of Nanoscience: Self-Assembled Architectures and Devices, FNANO 2007, Snowbird, UT, 米国.