Logarithmic coarsening and glassy behavior in a polymer model with mass-dependent diffusion

Area of Science:

• Polymer Physics
• Materials Science
• Statistical Mechanics

Background:

• Understanding polymer growth and diffusion dynamics is crucial for materials science.
• Frustration mechanisms significantly influence polymer density and behavior.
• Mass-dependent energy barriers affect diffusion rates in polymer systems.

Purpose of the Study:

• To model polymer growth and diffusion incorporating frustration mechanisms.
• To investigate nonuniversal coarsening and strong-glass behavior in polymers.
• To analyze the influence of mass-dependent energy barriers on polymer dynamics.

Main Methods:

• Development of a theoretical model for polymer growth and diffusion.
• Incorporation of frustration mechanisms for density increase.
• Application of Arrhenius-form diffusion rates with mass-dependent energy barriers.
• Utilizing numerical simulations, scaling theories, and analytic solutions of the master equation.

Main Results:

• The model exhibits nonuniversal logarithmic coarsening, dependent on the exponent gamma.
• Strong-glass behavior is observed in polymer disappearance times, irrespective of equilibrium states.
• The analytic solution provides the cluster size distribution and confirms simulation/scaling theory predictions.

Conclusions:

• The presented model accurately predicts polymer behavior, including coarsening and strong-glass dynamics.
• The findings highlight the importance of frustration and mass-dependent barriers in polymer systems.
• The study offers a comprehensive framework for understanding polymer growth and diffusion phenomena.