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Exploring canyons in glassy energy landscapes using metadynamics.

Amruthesh Thirumalaiswamy1, Robert A Riggleman1, John C Crocker1

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A new modified metadynamics algorithm efficiently explores complex energy landscapes in glass-forming systems. This method reveals canyon structures, enabling deeper understanding of fluid dynamics and low-energy states in materials science.

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Area of Science:

  • Materials Science
  • Computational Physics
  • Statistical Mechanics

Background:

  • The physical properties of glass-forming systems are fundamentally governed by the low-energy configurations within their complex potential energy landscapes.
  • Understanding these landscapes is crucial for predicting material behavior, particularly near phase transitions like jamming or glass formation.

Purpose of the Study:

  • To develop and validate a modified metadynamics algorithm for efficient exploration of high-dimensional potential energy landscapes.
  • To investigate the structure of low-energy regions in model glass-forming systems, including foams, hard sphere fluids, and the Kob-Andersen model.

Main Methods:

  • Implementation of a modified metadynamics algorithm designed for enhanced sampling of potential energy landscapes.
  • Application of the algorithm to model systems: a foam, hard sphere fluids, and the Kob-Andersen glass model.
  • Analysis of the identified landscape features, specifically 'canyons' and associated energy minima.

Main Results:

  • The algorithm successfully identified and navigated meandering canyons within the energy landscapes of the model systems.
  • In hard sphere fluids, continuous fluid configurations were found across canyon floors up to high densities, surpassing the jamming transition.
  • For the Kob-Andersen glass, the method efficiently sampled low-energy states, reaching energies near the theoretical Kauzmann limit.

Conclusions:

  • The modified metadynamics approach provides an efficient means to explore complex energy landscapes relevant to glass-forming systems.
  • The identified canyon structures offer new insights into the mechanisms governing fluid behavior and glass transitions.
  • This computational technique facilitates the study of low-energy states in materials science with reduced computational cost.