Single parameter aging and density scaling.

Area of Science:

• Condensed matter physics
• Physical chemistry
• Statistical mechanics

Background:

• Previous studies on temperature down-jumps in out-of-equilibrium systems faced challenges predicting large temperature changes.
• The single-parameter aging (SPA) ansatz and density scaling were previously applied with limited success for large temperature jumps.

Purpose of the Study:

• To re-evaluate the applicability of the SPA ansatz to experimental temperature down-jump data.
• To demonstrate the effectiveness of the original SPA ansatz for all tested temperature ranges.
• To discuss extensions of density scaling concepts for out-of-equilibrium systems.

Main Methods:

• Analysis of experimental data from Di Lisio et al. (2023) concerning temperature down-jumps.
• Application of the single-parameter aging (SPA) ansatz in its original formulation.
• Exploration of density scaling principles in non-equilibrium conditions.

Main Results:

• The SPA ansatz successfully predicted experimental data across all tested temperature down-jumps, including large jumps (ΔT > 20 K).
• The original SPA formulation proved robust for analyzing the out-of-equilibrium dynamics.
• Different theoretical approaches for extending density scaling were considered.

Conclusions:

• The SPA ansatz is a valid and effective tool for analyzing temperature down-jumps in out-of-equilibrium systems.
• The study provides a foundation for further theoretical development in density scaling for non-equilibrium phenomena.
• Accurate prediction of dynamics in complex systems is achievable with refined theoretical models.