2025/10/23 by D. M. Zhang, Zhang, D. M., D. Y. Sun +3
Materials Science · Physics and Astronomy · #Material Dynamics and Properties #Theoretical and Computational Physics #Magnetic and transport properties of perovskites and related materials
paper · pdf · doi:10.48550/arxiv.2510.20324
Inspired by the Kadanoff transformation in the standard renormalization group theory, we propose a temporal renormalization scheme. A Boltzmann factor that explicitly depends on the renormalized timescale is constructed, permitting thermodynamic quantities to be evaluated self-consistently across different timescales. By applying the scheme to the long-time dynamics of supercooled liquids, we uncover critical-like behaviors of supercooled liquid with three characteristic renormalization timescales: At the first timescale sα, the system appears to be "thermodynamically frozen", i.e., the energy fluctuation becomes temperature-independent throughout the supercooled regime. At the second timescale sβ, the third-order moment of energy distribution reaches a maximum, and sβ is nearly temperature-independent. At the third timescale sγ, the third-order moment of energy distribution passes through a minimum, and sγ diverges as a power law sγ=(T-Tc)^(-γ). The scaling relations may reveal an intrinsic behavior in supercooled liquids, highlighting their unique feature. The current findings also demonstrate that temporal renormalization provides a powerful lens for investigating the timescale-specific dynamics.