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Realistic Membrane Modeling Using Complex Lipid Mixtures in Simulation Studies
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Extracting bulk properties of self-assembling systems from small simulations.

Thomas E Ouldridge1, Ard A Louis, Jonathan P K Doye

  • 1Rudolf Peierls Centre for Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, UK.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|March 11, 2011
PubMed
Summary

Simulations of small self-assembling systems can inaccurately predict bulk yields due to suppressed concentration fluctuations. New methods estimate accurate yields and track convergence with system size for ideal species.

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Area of Science:

  • Thermodynamics
  • Statistical Mechanics
  • Self-Assembly

Background:

  • Studying self-assembly often involves small systems for computational convenience.
  • Canonical ensemble simulations of small systems can introduce finite-size effects.
  • Concentration fluctuations are suppressed in small systems, impacting thermodynamic calculations.

Purpose of the Study:

  • To investigate finite-size effects in small self-assembly systems.
  • To develop methods for correcting bulk yield predictions from small system simulations.
  • To provide a way to monitor the convergence of yield calculations with increasing system size.

Main Methods:

  • Canonical ensemble simulations.
  • Analysis of concentration fluctuations.

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  • Development of methods for estimating bulk properties from finite systems.
  • Assumed ideal behavior for all species.

    • Main Results:

    • Small system simulations in the canonical ensemble exhibit significant finite-size effects.
    • Suppression of concentration fluctuations is identified as the cause of these effects.
    • Methods were introduced to estimate bulk yields and assess convergence.
    • The methods are applicable under the assumption of ideal species behavior.

    Conclusions:

    • Direct simulation of small self-assembly systems can be misleading for bulk property prediction.
    • The developed methods allow for accurate estimation of bulk yields from small system data.
    • Understanding and correcting for finite-size effects is crucial for reliable thermodynamic calculations in self-assembly.