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Equilibrium thermodynamics from basin-sampling.

Tetyana V Bogdan1, David J Wales, Florent Calvo

  • 1University Chemical Laboratories, Lensfield Road, Cambridge CB2 1EW, UK.

The Journal of Chemical Physics
|February 8, 2006
PubMed
Summary
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We developed basin-sampling to calculate energy states in complex systems. This method efficiently studies phase changes and broken ergodicity, providing accurate heat capacity curves.

Area of Science:

  • Statistical Mechanics
  • Computational Chemistry
  • Materials Science

Background:

  • Calculating the density of states is crucial for understanding phase transitions in classical statistical models.
  • Traditional methods struggle with systems exhibiting broken ergodicity, limiting accurate thermodynamic property calculations.
  • The harmonic superposition approximation has been a common, yet limited, approach for such systems.

Purpose of the Study:

  • To introduce a novel "basin-sampling" method for computing the potential energy density of states.
  • To address limitations in studying systems with broken ergodicity and complex energy landscapes.
  • To enable accurate calculation of thermodynamic properties like heat capacity curves.

Main Methods:

  • Combines Wang-Landau-type uniform sampling of local minima.

Related Experiment Videos

  • Incorporates a new method to approximate contributions from minima using basin of attraction volumes.
  • Applied to Lennard-Jones atomic clusters and ionic clusters.

    • Main Results:

    • Demonstrates efficiency for systems with broken ergodicity.
    • Successfully calculated converged heat capacity curves for challenging systems.
    • Outperforms or matches existing methods like parallel tempering and Wang-Landau where applicable.

    Conclusions:

    • Basin-sampling offers a robust and efficient approach for density of states calculations.
    • The method overcomes limitations of previous techniques for complex statistical models.
    • Enables accurate thermodynamic analysis of systems previously intractable.