Power law relationship between diffusion coefficients in multi-component glass forming liquids

Area of Science:

• Condensed Matter Physics
• Materials Science
• Physical Chemistry

Background:

• The Adam-Gibbs relation connects relaxation times to configurational entropy in glass-forming liquids.
• This relation typically applies to specific relaxation timescales, not all simultaneously.
• The Stokes-Einstein relation's breakdown offers new insights into liquid dynamics.

Purpose of the Study:

• To investigate the applicability of the Adam-Gibbs relation to diffusion coefficients in multicomponent glass formers.
• To determine if a unified description exists for various diffusion coefficients.
• To explore the relationship between different diffusion coefficients and configurational entropy.

Main Methods:

• Analysis of diffusion coefficients in diverse glass-forming liquids.
• Examination of temperature-dependent dynamics across normal and slow relaxation regimes.
• Testing the power-law relationship between different diffusion coefficients.

Main Results:

• The Adam-Gibbs relation consistently describes diffusion coefficients, not viscosity or structural relaxation times.
• A power-law relationship exists between different diffusion coefficients in multicomponent liquids.
• This relationship holds across a wide range of glass formers and temperatures.

Conclusions:

• The Adam-Gibbs relation provides a unified framework for understanding diffusion in glass-forming liquids.
• The power-law coupling of diffusion coefficients offers a novel perspective on liquid dynamics near the glass transition.
• Further research is needed to fully rationalize the observed behavior and its implications.