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Stability, isolated chaos, and superdiffusion in nonequilibrium many-body interacting systems.
Atanu Rajak1,2, Itzhack Dana1
1Department of Physics, Bar-Ilan University, Ramat Gan 5290002, Israel.
Physical Review. E
|January 20, 2021
Summary
We discovered stable orbits in chaotic systems with interacting particles, featuring ballistic motion. These stable zones, or isolated chaotic zones (ICZ), exhibit slower diffusion, leading to superdiffusion in kinetic energy.
Area of Science:
- Statistical Mechanics
- Non-equilibrium Physics
- Dynamical Systems
Background:
- Many-body systems with interactions and periodic driving exhibit complex dynamics.
- Understanding stability and transport in non-integrable systems is crucial for statistical mechanics.
Purpose of the Study:
- To investigate stability and chaotic transport in paradigmatic non-equilibrium many-body systems.
- To rigorously prove the existence of stable orbits in strongly non-integrable regimes.
Main Methods:
- Analytical methods to rigorously show the existence of stable orbits.
- Numerical simulations to demonstrate the properties of isolated chaotic zones (ICZ).
Main Results:
- Existence of fully stable orbits, accelerator-mode (AM) fixed points, with ballistic momentum motion.
- Identification of isolated chaotic zones (ICZ) localized around AM fixed points.
- Superdiffusion observed in the mean kinetic energy of initial ensembles containing an ICZ.
Conclusions:
- Stable orbits can persist in strongly chaotic many-body systems.
- Isolated chaotic zones exhibit significantly slower Arnold diffusion.
- The findings challenge conventional understanding of chaotic transport in non-equilibrium systems.
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