### 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 2007 → 4 21 2007 |

### 会議

会議 | 4th Conference on Foundations of Nanoscience: Self-Assembled Architectures and Devices, FNANO 2007 |
---|---|

国 | 米国 |

市 | Snowbird, UT |

期間 | 4/18/07 → 4/21/07 |

### 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

*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.