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Universal Aging Dynamics in Granular Gases

Published:Dec 29, 2025 17:29
1 min read
ArXiv

Analysis

This paper provides quantitative benchmarks for aging in 3D driven dissipative gases. The findings on energy decay time, steady-state temperature, and velocity autocorrelation function offer valuable insights into the behavior of granular gases, which are relevant to various fields like material science and physics. The large-scale simulations and the reported scaling laws are significant contributions.
Reference

The characteristic energy decay time exhibits a universal inverse scaling $τ_0 \propto ε^{-1.03 \pm 0.02}$ with the dissipation parameter $ε= 1 - e^2$.

Analysis

This survey paper provides a comprehensive overview of the critical behavior observed in two-dimensional Lorentz lattice gases (LLGs). LLGs are simple models that exhibit complex dynamics, including critical phenomena at specific scatterer concentrations. The paper focuses on the scaling behavior of closed trajectories, connecting it to percolation and kinetic hull-generating walks. It highlights the emergence of specific critical exponents and universality classes, making it valuable for researchers studying complex systems and statistical physics.
Reference

The paper highlights the scaling hypothesis for loop-length distributions, the emergence of critical exponents $τ=15/7$, $d_f=7/4$, and $σ=3/7$ in several universality classes.