Detecting time-irreversibility in multiscale systems: Correlation and response functions in the Lorenz96 model
Niccolò Cocciaglia1,2, Dario Lucente3
1Department of Physics, University of Rome Sapienza, P.le Aldo Moro 2, 00185 Rome, Italy.
Chaos (Woodbury, N.Y.)
|April 8, 2025
Summary
Statistical mechanics reveals nonequilibrium properties in geophysical models. Perturbations impact scales differently, showing directional energy transport and protocol-dependent responses.
Area of Science:
- Geophysics
- Statistical Mechanics
- Dynamical Systems
Background:
- Multiscale systems are crucial in geophysical research.
- Statistical mechanics offers powerful tools for analyzing complex systems.
- The Lorenz96 model is a standard for testing geophysical concepts.
Purpose of the Study:
- Characterize nonequilibrium properties of the two-scale Lorenz96 model.
- Investigate energy transport and scale interactions.
- Assess the role of perturbation protocols on system dynamics.
Main Methods:
- Utilized higher-order correlation functions.
- Analyzed responses to external energy perturbations.
- Examined both equilibrium (inviscid) and nonequilibrium (viscous) conditions.
Main Results:
- Detected time-reversal symmetry breaking and characterized transport properties.
- Synoptic variable perturbations significantly affect advective variables, with negligible reverse impact.
- System responses to perturbations are highly dependent on the perturbation protocol.
Conclusions:
- Statistical mechanics tools are effective for analyzing geophysical models.
- Scale interactions in the Lorenz96 model exhibit clear asymmetry.
- Understanding system dynamics requires more than just observing relaxation processes.
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