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Related Experiment Videos

Structural relaxation in atomic clusters: master equation dynamics.

M A Miller1, J P Doye, D J Wales

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

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
PubMed
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Investigating potential energy landscapes reveals how cluster relaxation dynamics are governed. Landscape features significantly impact relaxation pathways, offering insights into complex systems like proteins and glasses.

Area of Science:

  • Computational chemistry
  • Statistical mechanics
  • Materials science

Background:

  • Understanding relaxation dynamics is crucial for predicting material properties and biological processes.
  • Potential energy landscapes (PELs) dictate the pathways and rates of system evolution.
  • Model clusters provide simplified systems to study fundamental principles of energy landscapes.

Purpose of the Study:

  • To investigate the influence of different potential energy landscape (PEL) topologies on the relaxation dynamics of model atomic clusters.
  • To quantify the relationship between PEL features and relaxation rates using theoretical models.
  • To explore the applicability of master equation approaches to complex systems with limited data.

Main Methods:

  • Master equation simulations were employed to model relaxation dynamics.

Related Experiment Videos

  • Rice-Ramsperger-Kassel-Marcus (RRKM) theory was used to calculate interwell rate constants.
  • Harmonic and anharmonic approximations for partition functions were considered.
  • Analysis focused on single-funnel (Morse clusters) and double-funnel (Lennard-Jones clusters) PELs.

    • Main Results:

    • Decreasing potential range in Morse clusters was found to impede relaxation to the global minimum, correlating with PEL changes.
    • Interfunnel rate constants were extracted for the Lennard-Jones cluster from master equation analysis.
    • The study explored conditions for applying master equations to systems with incomplete PEL data.

    Conclusions:

    • The topology of the potential energy landscape is a key determinant of cluster relaxation dynamics.
    • Master equation approaches, combined with RRKM theory, provide valuable insights into relaxation processes.
    • Findings have implications for understanding relaxation in complex systems such as proteins and structural glasses.