Experiments in stochastic self assembly

Yuliy Baryshnikov, Ed Coffman, Boonsit Yimwadsana

Research output: Contribution to conferencePaper

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 languageEnglish
Pages146-150
Number of pages5
Publication statusPublished - Dec 1 2007
Externally publishedYes
Event4th Conference on Foundations of Nanoscience: Self-Assembled Architectures and Devices, FNANO 2007 - Snowbird, UT, United States
Duration: Apr 18 2007Apr 21 2007

Conference

Conference4th Conference on Foundations of Nanoscience: Self-Assembled Architectures and Devices, FNANO 2007
CountryUnited States
CitySnowbird, UT
Period4/18/074/21/07

All Science Journal Classification (ASJC) codes

  • Hardware and Architecture
  • Electrical and Electronic Engineering

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  • Cite this

    Baryshnikov, Y., Coffman, E., & Yimwadsana, B. (2007). 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.