### Abstract

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.

Original language | English |
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Pages | 146-150 |

Number of pages | 5 |

Publication status | Published - Dec 1 2007 |

Externally published | Yes |

Event | 4th Conference on Foundations of Nanoscience: Self-Assembled Architectures and Devices, FNANO 2007 - Snowbird, UT, United States Duration: Apr 18 2007 → Apr 21 2007 |

### Conference

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

City | Snowbird, UT |

Period | 4/18/07 → 4/21/07 |

### All Science Journal Classification (ASJC) codes

- Hardware and Architecture
- Electrical and Electronic Engineering

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## Cite this

*Experiments in stochastic self assembly*. 146-150. Paper presented at 4th Conference on Foundations of Nanoscience: Self-Assembled Architectures and Devices, FNANO 2007, Snowbird, UT, United States.