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Is the glassy dynamics same in 2D as in 3D? The Adam Gibbs relation test
Santu Nath1,2, Shiladitya Sengupta1
1Department of Physics, Indian Institute of Technology Roorkee 247667, India.
The Journal of Chemical Physics
|July 16, 2024
Summary
Glassy dynamics in two dimensions (2D) differ from three dimensions (3D) beyond thermal fluctuations. The Adam-Gibbs relation breaks down in 2D, even after corrections, indicating intrinsic differences in glass formation.
Area of Science:
- Condensed Matter Physics
- Materials Science
- Statistical Mechanics
Background:
- Two-dimensional (2D) amorphous materials exhibit unique behaviors due to Mermin-Wagner fluctuations, unlike their 3D counterparts.
- The influence of spatial dimensionality on the fundamental nature of glassy dynamics remains an open question.
Purpose of the Study:
- To investigate whether differences in glassy dynamics between 2D and 3D are solely due to thermal fluctuations or if intrinsic factors are involved.
- To examine the validity of the Adam-Gibbs (AG) relation and Random First Order Transition (RFOT) theory in 2D glassy systems.
Main Methods:
- Studied the relationship between dynamics and thermodynamics using the Adam-Gibbs (AG) relation and RFOT theory.
- Employed the potential energy landscape formalism to compute configurational entropy, considering anharmonicity of vibrational entropy.
- Analyzed two model glass-forming liquids to assess the impact of dimensionality on glassy dynamics.
Main Results:
- The AG relation breaks down in 2D, even after accounting for long-wavelength fluctuations.
- Breakdown of the AG relation persists even after correcting for the anharmonicity of vibrational entropy.
- Deviations from the AG relation depend on interparticle interactions and the chosen timescale, affecting RFOT scaling exponents.
Conclusions:
- Intrinsic differences in glassy dynamics between 2D and 3D exist, beyond the effects of long-wavelength thermal fluctuations.
- The Adam-Gibbs relation and RFOT theory require careful consideration of dimensionality and interaction potentials for 2D systems.
- Further research is needed to fully elucidate the dimensionality-dependent nature of glassy dynamics.
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